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Bronson, Elizabeth Anne. "Openings in the forest economy : a case study of small forest operators in the Bulkley Valley, BC, Canada." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape4/PQDD_0019/NQ48610.pdf.
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Clain, Xavier. "Une étude expérimentale de l'injection de fluides d'Herschel-Bulkley en milieu poreux." Phd thesis, Université Paris-Est, 2010. http://tel.archives-ouvertes.fr/tel-00582324.
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L'écoulement à travers un milieu poreux d'un fluide non newtonien, est un problème récurrent rencontré dans de nombreux domaines de l'industrie et dont la difficulté réside à la fois dans la géométrie complexe du milieu poreux et dans le caractère non-linéaire des matériaux utilisés. Dans cette thèse, nous adoptons une approche différente de celle menée dans les travaux antérieurs, en nous basant principalement sur l'expérimentation. En procédant à des essais systématiques d'injection dans un milieu poreux dont nous pouvons contrôler les données géométriques, nous montrons qu'un gradient de pression seuil, étant proportionnel au seuil du fluide et inversement proportionnel à la taille typique des pores, doit systématiquement être dépassé pour mettre le fluide en écoulement.En outre, nous étudions la possibilité de regrouper, via un redimensionnement, l'ensemble des résultats sur une courbe maîtresse et établir ainsi une base pour l'établissement d'une loi générale d'écoulement
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Laruccia, Moacyr Bartholomeu. "Numerical modelling of non-Newtonian fluids in annular space and its application to drilling operations." Thesis, Heriot-Watt University, 1995. http://hdl.handle.net/10399/1324.
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This thesis presents the results of investigations in two areasA) Laminar helical flow of Herschel Bulkley fluids in annular space; and B) Cuttings transport in deviated wellbores. Description of area A: This is a theoretical study that consists of the modelling of non-Newtonian fluid flowing through annular space. The rheology of the fluid is represented by a three-parameter fluid model to account for a non-linear behaviour of the rheologic curve followed by the presence of a yield stress. Two distinct methodologies were used to study the effects of inner pipe rotation and inner pipe eccentricity on the velocity profiles of the annular flow. I. Laminar Helical Flow of a Herschel-Bulkley Fluid in a Concentric Annulus and its Extension to a Narrow Eccentric Annulus: The method consists of the use of the boundary conditions to enable the numerical integration of the motion equation. The subsequent extension to eccentric annuli is based on division of the annulus into sectors, where each sector is treated as an equivalent sector of a concentric annulus. Profiles of velocity presented in 2-D and 3-D contour plots explain the effects of eccentricity, inner pipe rotation and yield stress in many different situations. This analysis is useful to simulate the flow field in a borehole during directional drilling and primary cementing particularly for narrow eccentric annuli. II. Laminar Helical Flow of a Herschel-Bulkley Fluid in an Eccentric Annulus and The Special Case of a Pure Axial Flow: A new methodology to obtain the governing equations is proposed here as a first step to the solution of this complicated problem. It consists of eliminating the unknown radial and tangential pressure gradients from the equation of motion by defining vorticity between these two components of the velocity vector. The vorticity equation and the remaining axial component of the motion equation, written in bipolar co-ordinates, are then made discrete using two different finite difference approaches. Firstly, the inertial terms of both equations are made discrete using a modified upwind scheme proposed by O. Axelsson and I. Gustafsson, while the viscous terms are made discrete using central difference approximation. Secondly, the moving boundary conditions are set by enforcing continuity of pressure on the inner annular wall. The future solution of these equations will provide a very accurate model, unavailable until now, that accounts for both effects, the eccentricity and rotation of the drill string, to simulate the flow field of drilling mud in directional and horizontal wells. Description of area B: The fluid models developed are incorporated in the development of two semi-empirical correlations to predict the critical conditions of cuttings transport in deviated weI/bore. The numerical fluid models are modified to predict the velocity of the fluid at the vicinity of the cutting that is at the point of being transported. An extensive bank of data of the critical conditions of transport, emulating many different field conditions, was used in this analysis. The experimental data was provided by an industry sponsored project which did four years of experimental work in a simulated testing column to generate the data. The two semi-empirical correlations developed in this research are based on: • a dimensional analysis of the variables involved in two distinct mechanisms of transport experimentally observed: 1. Rolling or Sliding and 2. Suspension; • a force balance applied to a cutting resting on the low-side wall of an inclined annulus, under fluid dynamic conditions. The semi-empirical correlations can be used as general criteria for evaluating and correlating the effects of various parameters on cuttings transport, and as a guideline for cuttings transport programme design during directional drilling.
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Seyidoglu, Tijen. "Generalized Couette Flow Of A Herschel-bulkley Fluid Through Eccentric Annulus-an Approximate Solution." Master's thesis, METU, 2006. http://etd.lib.metu.edu.tr/upload/2/12607087/index.pdf.
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ABSTRACT
GENERALIZED COUETTE FLOW OF A
HERSCHEL - BULKLEY FLUID
THROUGH ECCENTRIC ANNULUS - AN APPROXIMATE SOLUTION
Seyidoglu, Tijen
M.S., Department of Chemical Engineering
Supervisor: ismail Tosun
Co-Supervisor: Ahmet N. Eraslan
January 2006, 134 pages
Generalized Couette flow of a Herschel-Bulkley fluid in an eccentric annulus is analyzed by approximating the flow geometry as a slit of variable height. Besides an imposed pressure gradient, one of the plates is considered non-stationary to take into account the axial and/or angular motion of the inner pipe in an eccentric annulus system.
Depending on the magnitude and the direction of the applied pressure gradient with respect to the plate velocity, three separate flow cases are studied in which the velocity reaches its maximum value either within the plug flow region or at the moving boundary. Velocity distributions are obtained for each case by solving the equations of continuity and motion. Volumetric flow rate expressions are obtained by integrating the velocity distribution over the cross-sectional area. At a given pressure gradient, the results indicate an increase in volumetric flow rate with an increase in eccentricity ratio. Criteria for each flow type is developed in terms of a dimensionless parameter Λ
, which takes into account the ratio of the imposed pressure gradient to the plate velocity. Volumetric flow rate expressions for Newtonian, Bingham and power-law fluids are obtained by considering the limiting values of the fluid index and yield stress. The validity of the equations are checked by considering the slit height to be a constant, i.e., flow between parallel plates. Surge/swab pressure calculations are carried out for Herschel-Bulkley, power-law and Bingham fluids and the results are expressed as a function of eccentricity ratio, radius ratio, fluid index and yield stress. The results indicate that when the fluid index and the eccentricity ratio are fixed, a slight increase in the radius ratio causes a tremendous increase in surge/swab pressure, especially for low values of fluid index. On the other hand, displacement of the inner pipe from a concentric position causes a decrease in swab/surge pressure when other parameters are held constant. Comparison with the literature values reveals the fact that flow in an eccentric annulus can be modeled as flow between a slit of variable height as long as the radius ratio is greater than 0.5 and the eccentricity ratio is less than 0.3. The results for other values of radius ratio and eccentricity ratio can be used as initial guess values in carrying out numerical calculations.
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Moudachirou, Idriss. "Transfert thermique et perte de charge pour un fluide de Herschel-Bulkley thermo-dépendant." Nancy 1, 1992. http://www.theses.fr/1992NAN10226.
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On se propose d'étudier numériquement et expérimentalement des lois de l'écoulement et du transfert de chaleur pour des fluides non newtoniens thermodépendants, en écoulement laminaire dans une conduite cylindrique de section circulaire, chauffées à la paroi à densité de flux de chaleur. On s'intéresse aux fluides pseudoplastiques dont le comportement peut être modélisé par la loi de Marschel-Bulkley. On met clairement en évidence l'incidence d'un champ thermique imposé sur la distribution des vitesses, sur les lois de perte chargé et sur les lois de transfert de chaleur qui en résultent. Outre les paramétrés classiques, on propose pour le coefficient de frottement et le coefficient d'échange de chaleur des corrélations
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Vieira, Adriana Silveira [UNESP]. "Um panorama sobre roll waves em escoamentos laminares e turbulentos com superfície livre." Universidade Estadual Paulista (UNESP), 2007. http://hdl.handle.net/11449/88890.
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Os escoamentos na superfície livre que se processam sobre forte declividade podem desenvolver instabilidades ao cabo de tempo finito. Tais instabilidades aparecem sob formas de ondas tipo “hydraulic jumps” bem espaçados e são denominadas Roll Waves. Estas ondas, longas e periódicas, podem ser contínuas ou descontínuas; contínuas em problema Shallow Water viscoso e descontínuas para o caso não viscoso. Tal fenômeno pode ser observado tanto em escoamentos naturais como em canais artificiais e vertedouros de barragens. Tratando-se de escoamento de Fluidos não newtonianos, tal fenômeno pode ser visto facilmente em lavas torrenciais, avalanchas ou “debris flows”. Nesta dissertação foram analisados matematicamente e numericamente o comportamento e as condições de existência para a formação de Roll Waves em escoamentos laminares e turbulentos. Em escoamentos turbulentos toma-se como referência os trabalhos realizados por Maciel (2001) numa reologia Binghamiana. Para escoamentos laminares, cita-se o trabalho de Mei (1994) em uma reologia tipo Power Law. No plano numérico, para escoamentos turbulentos, foram utilizadas rotinas do MATLAB® versão 6.5 e, para escoamentos laminares, rotinas em FORTRAN 90; onde pôde-se analisar e comparar resultados para diversas reologias. O foco desta dissertação foi tratar o problema Roll Waves como uma instabilidade na vizinhança do regime uniforme para Fluidos não newtonianos, em regimes turbulentos e laminares. A reologia tratada e representativa de diversos escoamentos na natureza foi a de Herschel Bulkley. A partir desta dissertação deixa-se, como perspectiva futura, um estudo mais aprofundado sob formação de ondas em fluidos hiperconcentrados tipo Herschel Bulkley com abordagem experimental a fim de validar resultados apontados nesta pesquisa.
Flows that happen over strong slope with free surface can develop instabilities after some finite time. Such wave shaped instabilities appear in the flow and are of the type “hydraulic jumps” well spaced and they are called Roll Waves. Those waves are long and periodic, continuous or discontinuous, continuous in viscous Shallow Water problems, and discontinuous for the inviscid case. Roll Waves are uncommon in natural flows, but they are common in man made channels and dams spillway. For flows of non Newtonian fluids such phenomenon can be seen easily in lava torrent, avalanche and debris flow. In this work it were mathematically and numerically analyzed the behavior and the existence conditions for the generation of Roll Waves within laminar and turbulent flows. For turbulent flows it is taken as reference the works done by Maciel (2001) dealing with a Bingham rheology. For laminar flows the reference is the work done by Mei (1994) using a Power Law rheology. Numerically, for turbulent flows it were used MATLAB® 6.5 procedures and for laminar flows FORTRAN 90 procedures were developed. Using these reference procedures it was obtained compared and analyzed results for several rheologies. This work left as future perspective a deeper study about the generation of waves in hipper concentrated fluids such as Herschel Bulkley fluid, with an experimental approach aiming to validate results produced. The focus of this work was to treat the so called Roll Waves problem as an instability in the vicinity of the uniform flow regime for non Newtonian fluids under laminar and turbulent flow regimes. The Herschel Bulkley rheology that was treated in this work is representative of several flows that happen in nature.
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Vayssade, Anne-Laure. "Flows of Herschel-Bulkley fluids in confined environments : applications to the cementing of oil wells." Thesis, Paris 6, 2015. http://www.theses.fr/2015PA066214/document.
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En 2010, la plus grande catastrophe de l’histoire de l’industrie pétrolière s’est produite dans le golfe du Mexique avec l’explosion du puit de pétrole Macondo. Les causes de l’accident sont connues : la couche de ciment dans l’espace annulaire du puit qui est supposée empêcher les fuites, a cédé. Ces fuites sont dues à la présence de boue (la boue est utilisée lors du forage du puit avant sa cimentation) dans l’annulaire dégradant la prise du ciment. Nous utilisons la microfluidique afin d’étudier la question des films de boue qui restent sur les parois de l’annulaire. Le ciment et la boue sont modélisés par des suspensions de microgel qui ont des propriétés rhéologiques similaires. Des nombres sans dimension comparables entre la microfluidique et la situation réelle permettent d’extraire de cette étude des informations pertinentes pour l’industrie pétrolière. Nous menons des expériences de déplacements de suspensions de microgel par d’autres fluides et nous mesurons l’évolution de l’épaisseur du film laissé derrière l’interface en fonction du temps et de la vitesse de l’interface. Nous testons différentes géométries dans lesquelles les propriétés de surface sont modifiées afin d’empêcher ou de permettre le glissement des fluides dans le système. Nous montrons que le glissement est un paramètre crucial de l’expérience. De plus, nous avons aussi étudié l’écoulement de fluides de Herschel-Bulkley en systèmes confinés. Cette étude a mis en évidence un nouvel effet associé à une longueur caractéristique qui n’avait pas encore été mentionnée dans la littérature. Cette étude fondamentale révèle la richesse de la dynamique des fluides de Herschel-BulkleyIn 2010, in the Gulf of Mexico, the blow out of the Macondo well was the largest accident in the history of the petroleum industry. It appeared clearly that the cement sheath in the annular gap of the well that is supposed to hinder leakages failed. Leakages are due to the presence of mud (the mud is used during the well fabrication) in the annular gap that damage cement hardening. We use the microfluidic tool to address the question of the mud film left in the annular gap during the cementing process. The cement and the mud will be modelled by microgel suspensions, which turn out to have similar rheological characteristics. Important dimensionless numbers can be made comparable so that useful information can be extracted from studies performed in microfluidic environments. We perform experiments in which we displace microgel suspensions by another fluid. We image the film left behind the finger and we observe its evolution over time and as a function of the front velocity. Various geometries are tested in which the walls chemistry are tuned to allow or prevent slippage. We show that slippage is a crucial parameter of the experiments. Additionally to this approach, we have also performed a study on the flow of Herschel-Bulkley fluids in confined systems. This study revealed a novel effect associated to a characteristic length that has not been reported before. This fundamental study reveals the richness of Herschel-Bulkley flow dynamics
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Patarin, Jeremy. "Rhéologie de suspensions hétérogènes concentrées : applications aux bols alimentaires et aux jus gastriques d'aliments solides." Thesis, Grenoble, 2014. http://www.theses.fr/2014GRENI103/document.
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L'enjeu des travaux contenus dans cette thèse est la caractérisation rhéologique de suspensions concentrées d'objets viscoplastiques suspendus dans une matrice viscoplastique. Trois contraintes physiques se présentent : l'hétérogénéité des objets, la taille des objets au regard de la taille du système étudié, et la proximité entre la consistance de la phase suspendante et celle des objets. Dans notre contexte alimentaire, il faut ajouter des contraintes d'ordre biologique : les faibles durées de vie des produits, les prélèvements in vivo et la conservation des conditions de températures et d'humidité. L'ensemble de ces contraintes aboutit à une rhéométrie spécifique, aux frontières de la mécanique des milieux continues, avec pour objectif de mesurer des propriétés rhéologiques pertinentes. Pour cela, deux instrumentations originales ont été construites pour effectuer la caractérisation rhéologique le plus vite et au plus près de la génération des échantillons.Appliquée aux bols alimentaires issus de fromage, leur rhéologie vient gouverner les écoulements en bouche et induire la création de surface d'échange en bouche, au travers de la mastication. Au travers de ces interfaces, les arômes et les sapides sont libérés et transportés vers les récepteurs sensoriels. Les résultats montrent le lien entre le seuil de contrainte à l'écoulement du bol et la libération d'arômes de différents hydrophobicités, fonction de la fermeté et du taux de matières grasses du fromage. Plus particulièrement, la phase suspendante fluide, semble jouer un rôle majeur dans la création et la persistance des surfaces d'échanges. Appliquée aux jus gastriques issus de pain, l'enjeu est de savoir si des modifications des contenus en glucides pouvaient impacter la rhéologie des jus gastriques, modifier les cinétiques de vidange en sortie d'estomac, et diminuer l'excursion glycémique. Les résultats montrent l'effet d'un ajout d'amylose sur l'augmentation de la viscosité aux temps de digestion longs, lorsque la rhéologie n'est plus gouvernée par l'encombrement des particules de pain gonflées d'eau. Cependant, l'amylose ne semble pas avoir d'impact sur les cinétiques de vidange, ce qui vient conforter que le débit en sortie d'estomac est régulé par la charge énergétique contenue dans le repasThe challenge of this work is to carry out the rheological characterization of concentrated suspensions of viscoplastic objects suspended in a viscoelastic matrix. Three structural constraints are faced: the heterogeneity of the particles, the size of particle in relation to the size of the whole system studied, and the proximity between the consistency of the suspending phase and that the consistency of the particles. In the food context, some biological constraints are added: small lifetimes of bolus, in vivo sampling and test conditions of temperature and humidity. All these constraints lead to a compromise in rheometry, at the edge of continuum mechanics, aiming to measure useful rheological properties. To carry out the rheological characterizations quickly and efficiently, two original devices has been designed trough this work. Applied to food bolus from cheese, rheology comes to govern flows in the mouth and induce the creation of exchange area in the mouth, during the chewing process. Through these interfaces, the savors and flavors are released and transported to the sensory receptors. The results show the relationship between the yield stress of the bolus and flavors release of different hydrophobic aromas, depending on the firmness and fat content of the cheeses. Specifically, fluid suspending matrix appears to play a major role in the creation and persistence of exchange area.Applied to gastric juice from bread, the issue is whether changes in carbohydrate content could impact the rheology of gastric juice, modify the kinetics of stomach flow rate, and decrease the glycemic excursion. The results show the effect of amylose addition on increasing the viscosity for long digestion time, when the rheology is no longer governed by the jamming effect of the particles made of water-swollen bread. However, amylose does not seem to have any impact on the kinetics of emptying, which reinforces that the stomach flow rate is regulated by the caloric charge contained in the meal
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Machado, Fernando Machado. "Aproximação de Galerkin mínimos-quadrados de escoamentos axissimétricos de fluido Herschel-Bulkley através de expansões abruptas." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2007. http://hdl.handle.net/10183/11964.
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O estudo de escoamentos de fluidos não-Newtonianos através de expansões desperta um grande interesse em pesquisadores nas diversas áreas da engenharia, devido a sua ampla aplicação em indústrias e no meio acadêmico. O objetivo principal desta Dissertação é simular problemas de escoamentos envolvendo fluidos viscoplásticos através de expansões axissimétricas abruptas. O modelo mecânico empregado é baseado nas equações de conservação de massa e de momentum para escoamentos isocóricos acoplados com a equação constitutiva de um Fluido Newtoniano Generalizada (GNL), com a função de viscosidade de Herschel-Bulkley regularizada pela equação de Papanastasiou. O modelo mecânico é aproximado por um modelo estabilizado de elementos finitos, denominado método Galerkin Mínimos-Quadrados, ou Galerkin Least-squares (GLS). Esse método (GLS) é usado a fim superar as dificuldades numéricas do modelo de Galerkin clássico: a condição de Babuška-Brezzi e a instabilidade inerente em regiões advectivas do escoamento. O método é construído adicionando termos de malha-dependentes a fim aumentar a estabilidade da formulação de Galerkin clássica sem danificar sua consistência. A formulação GLS é aplicada para estudar a influência do índice power-law, da tensão limite de cisalhamento e razão de aspecto na dinâmica do escoamento de fluidos de Herschel-Bulkley através de expansões axissimétricas abruptas de razão de aspecto 1:2 e 1:4. Os problemas que envolvem números de Reynolds desprezíveis, para uma escala do número de Herschel-Bulkley entre 0 e 100 e índice de comportamento entre 0,2 e 1,0 são apresentados. Os resultados são fisicamente detalhados e estão de acordo com a literatura.The study of non-Newtonian fluid flows in expansions is of great interest for researchers in the several branches of engineering, due to their wide application both in industry and academy. The objective of this Dissertation is to simulate flow problems involving a viscoplastic fluid through an axisymmetric abrupt expansion. The mechanical model employed is based on the mass and momentum conservative equations for isochoric flows coupled with the Generalized Newtonian Liquid (GNL) constitutive equation, with the Papanastasiou-regularized Herschel-Bulkley viscosity function. The mechanical model is approximated by a stabilized finite element scheme, namely the Galerkin Least-squares method. This method (GLS) is used in order to overcome the numerical difficulties of the classical Galerkin method: the Babuška- Brezzi condition and the inherent instability in advective flow regions. The method is built adding mesh-dependent terms in order to increase the stability of the classical Galerkin formulation without damaging its consistency. The GLS formulation is applied to study the influence of power-law index, yield stress and aspect reason in the flow dynamics of Herschel- Bulkley fluids through an axisymmetric abrupt expansions of aspect reason 1:2 and 1:4. Problems involving negligible Reynolds numbers, for a Herschel-Bulkley number range between 0 and 100 and e power-law index range between 0.2 and 1.0 are presented. The results are physically comprehensive and are in accordance with the literature.
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Javaherdeh, Koroush. "Transfert thermique pour fluides non-newtoniens : cas du refroidissement de fluides de Herschel-Bulkley : aspects instationnaires." Nancy 1, 1996. http://www.theses.fr/1996NAN10174.
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Nous nous proposons d'effectuer une étude numérique et expérimentale du refroidissement avec changement de phase, en régime instationnaire. Nous déterminons les lois de l'écoulement et du transfert de chaleur, pour des fluides non-newtoniens thermodépendants à seuil. Ces fluides s'écoulent dans une conduite cylindrique horizontale, refroidie à la paroi par l'écoulement externe tel que coefficient d'échange convectif soit uniforme. Nous nous intéressons aux fluides viscoplastiques dont le comportement peut être modélisé par la loi de Herschel-Bulkley. D'un point de vue numérique, nous avons utilisé deux formulations (ω-Ψ) et (u-v-p) pour résoudre les équations gouvernant le problème. La similarité des résultats obtenus nous a permis de privilégier la formulation (u-v-p). De plus, nous avons mis en évidence l'incidence de divers paramètres sur la structure du champ dynamique et sur le transfert de chaleur. Sur le plan expérimental, nous avons utilisé une boucle d'essais fonctionnant en circuit fermé, Au cours de nos essais nous avons mesuré divers paramètres tels que: débits, températures et épaisseur du dépôt solide. Pour obtenir une caractérisation rhéologique précise de notre produit, nous avons utilisé un rhéomètre à contrainte imposée. Notre recherche nous a permis de mettre en évidence l'influence du coefficient d'échange externe (h∞), de la température du fluide réfrigérant (T∞), de la température d'entrée du fluide de travail (Te) du débit (Q), du paramètre de thermodépendance (bk ) sur les champs thermique et dynamique et d'établir des corrélatons pour le coefficient de frottement et le nombre de NusseltWe present here a numerical and experimental study of cooling with phase change taking account of time evolution. We have determined the dynamical and the heat transfer laws for non Newtonian thermodependent yield stress fluids in laminar regime, flowing through cylindrical duct. These thermodependant fluids are subjected to an external cooling with a constant heat transfer coefficient. We are interested in viscoplastic products for which the comportment law may be modelized by the formula. To solve numerically the governing equations, we have used (ω-Ψ) and (u-v-p) formulations. The similarity of the results permits to privilege the (u-v-p) formulation. Experimentally, we have used a closed test loop to determine different parameters like: flow rate, wall temperatures, thickness of solid deposit. A stress controlled rheometer was used to obtain a precise determination of the rheological behaviour. Our research permits to point out the influence of: the external heat transfer coefficient (h ∞), the temperature of cold fluid(T∞), the temperature of the fluid at inlet (Te) the flow rate (Q) and also of the thermodependancy parameter (bk ) on the thermal and dynamical fields
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Cirilo, Eliandro Rodrigues. "Modelagem matemática e simulação numérica do transporte de metano em reservatórios de hidrelétricas." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-03122012-141111/.
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É notório que a degradação ambiental vem ao longo do tempo posicionando-se como um dos principais problemas do mundo moderno. Dentre as várias questões do interesse ambiental podemos destacar a ascensão da bolha de metano, em reservatórios hidrelétricos, desde o sedimento anóxico no fundo do reservatório até a interface água atmosfera. Neste contexto, a presente tese vêm propor uma nova modelagem matemática para a ascensão da bolha axissimétrica em fluidos newtonianos/nãonewtonianos e mostrar resultados numéricos simulados. Desta forma, o estado da arte estaria elevado a posição de permitir, via Matemática e Simulação Numérica-Computacional, a análise do transporte de metano em reservatórios de hidrelétricas através da bolhaIt is well-known that environmental degradation has come along the time positioning as one of the main problems from modern world. Among several questions of the environmental interest may emphasize the methane bubble rise in hydroelectric reservoirs from the anoxic sediment in the bottom of reservoir until water interface atmosphere. In this context, the current thesis has come to propose a new mathematic modeling to the rise of the axisymmetric bubble in the newtonian/non-newtonian fluids and display numerical results simulated. Therefore, the state of art would be ascended to a position to permit, via Mathematics and Computing-Numeric Simulation, the analysis of transport of methane in hydroelectric reservoirs through of bubble
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Gao, Erhu. "Annular flow of Herschel-Bulkley non-Newtonian fluids and mathematical modelling of efficient hole cleaning at various hole angles." Thesis, Heriot-Watt University, 1994. http://hdl.handle.net/10399/2128.
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The work detailed in this thesis has formed a major part of an industry sponsored project entitled "Drilled Cuttings Transport in Deviated Wells" in the Department of Petroleum Engineering, Heriot-Watt University. The contributions by the author to the project form the basis of this thesis, which includes both the theoretical and experimental investigations into drilled cuttings transport at various hole angles. It is composed of the following major areas: [1] Annular flow of Herschel-Bulkley t1uids: The various flow equations including the fluid velocity profile, viscosity profile, shear stress/shear rate profile for fluid flow of Herschel-Bulkley fluids through concentric annuli without pipe rotation were derived and numerically solved by the author. [2] Theoretical modelling of the minimum transport velocity (MTV) required for adequate cuttings transport in deviated wells: Two classic concepts - fluid drag force and fluid lift force were successfully used to model the complicated cuttings transport process. Two MTV models were developed by the author for cuttings removal in concentric annuli without pipe rotation. One is the MTV model for cuttings rolling and the other is the MTV model for cuttings suspension. [3] Development of a new model for cuttings settling velocity in dynamic non- Newtonian drilling fluids: A new technique was proposed by the author to derive the cuttings settling velocity in dynamic non-Newtonian fluids based on the measured MTV for vertical hole cleaning. The cuttings settling velocity data were then used for the development of a new model for cuttings settling velocity at dynamic flow conditions. As well as the predictions of cuttings settling velocity profile and cuttings transport velocity profile across the annulus, this model was also used for the predictions of the MTV for vertical hole cleaning in concentric annuli without pipe rotation.[4] Cuttings transport/Annular now experiments: The author contributed to the design and the implementation of an extensive experimental programme to investigate cuttings transport at various hole angles. The experiments were designed to provide the data base required for the development and validation of the MTV models by the author. Annular flow experiments were also designed and conducted to validate the various annular flow equations derived by the author. [5] Extension of the MTV models: A new method was devised by the author so that the MTV models were able to be extended from concentric annuli without pipe rotation into concentric annuli with pipe rotation and eccentric annuli with/without pipe rotation using the annular flow modelling by Larrucia'f?'. The effect of drill pipe orbital motion on the MTV, which was from the team work(88), was also incorporated into the MTV models. [6] The development of the MTV package: The author has developed all the source codes for the development of a new MTV package for hole cleaning design and analysis and has also supervised the detailed development of the package. [7] Field guidelines: Field guidelines on how to improve drilled cuttings transport in actual drilling operations were developed by the author based on both the theoretical modelling and the experimental results.
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Massmeyer, Anna. "Thermal instabilities in a yield-stress fluid : from the laboratory to the planetary scale." Thesis, Paris 11, 2013. http://www.theses.fr/2013PA112068/document.
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Des panaches sont connus pour migrer à travers le manteau ductile et quasi-Newtonien ; alors que les dikes se fracturent et se propagent dans la lithosphère solide. Cependant, la lithosphère est en fait visco-élastique. Afin de déterminer ce qui se passe dans ce cas complexe, nous avons réalisé une étude expérimentale et numérique sur le développement de panaches thermiques dans des solutions aqueuses de Carbopol, un gel de polymères formant un réseau continu d'éponges microscopiques. Ce fluide est rhéofluidifiant et présente un seuil de contrainte σ₀, de sorte que l'écoulement ne se produit que si la contrainte locale dépasse cette valeur critique σ₀. En dessous de cette valeur, le fluide agit comme un solide élastique. Les propriétés rhéologiques des solutions peuvent être systématiquement ajustées en variant la concentration de Carbopol. Le dispositif consiste en une source locale de chaleur de puissance constante placée au centre d'une cuve cubique. Selon la valeur du rapport entre la contrainte d'origine thermique et la contrainte seuil, Y₀, on peut observer trois régimes différents. A faible Y₀Yc₂. Nous montrons que les paramètres critiques (Yc₁,Yc₂) dépendent fortement de la géométrie du chauffage. Des mesures simultanées de température et de champs de vitesse montrent que la morphologie du panache ressemble à un doigt, contrairement à la forme de champignon rencontrée dans les fluides newtoniens. Utilisant des simulations numériques avec une description purement visqueuse, où la rhéologie du fluide est décrite par un modèle de Herschel-Bulkley régularisé, sont suffisantes pour rendre compte de la dynamique du panache. Une étude détaillée des paramètres indiquent que la dynamique du panache est gouvernée par la compétition entre la contrainte seuil, la contrainte induite par la flottabilité et les contraintes visqueuses. Nous avons identifié deux paramètres adimensionnés : le paramètre seuil Ψ comparant la contrainte induite par la flottabilité et la contrainte seuil, et le nombre de Bingham Bi comparant la contrainte seuil et les contraintes visqueuses. Un panache ne peut s'élever que si les deux paramètres sont supercritiques, i.e. la contrainte induite par la flottabilité et les contraintes visqueuses sont plus importantes que la contrainte seuil. Par conséquent, le panache peut s'arrêter avant d'atteindre la surface. Des lois d'échelles dans le conduit du panache ont été déterminées pour la vitesse, la température et la taille de la région cisaillée en régime permanent. Elles décrivent raisonnablement le comportement du conduit bien que seul l'effet rhéofluidifiant soit pris en compte. L'application de ces paramètres adimensionnés à la Terre contraignent significativement la limite de plasticité du manteau et de la lithosphère. La contrainte seuil maximale qui permet à une instabilité thermique de pénétrer dans la lithosphère ou le manteau supérieur est entre 100 kPa et 100 MPa, et elle dépend fortement de la taille et de l'anomalie de densité de l'intrusionPlumes are known to migrate through the ductile quasi-Newtonian mantle, while dikes fracture and propagate through the solid lithosphere. However, depending on the timescale, the lithosphere presents solid as well as viscous properties. To determine what happens in the complex case, where instabilities propagate through a visco-elastic matrix, we performed a combined study of laboratory experiments and numerical simulations. Here we investigate the development of thermal plumes in aqueous solutions of Carbopol, a polymer gel, forming a continuous network of micrometric sponges. This fluid is shear thinning and has a yield-stress σ₀, whereby flow occurs only if the local stress exceeds this critical value σ₀. Below this value, the fluid acts as an elastic solid. The rheological properties of the solutions can be systematically varied by varying the Carbopol concentration. The setup consists of a localized heat-source operated at constant power, placed at the centre of a square tank. Depending on the ratio of the thermally induced stresses and the yield stress, Y₀, three different regimes may be obtained. For low Y₀Yc₂. We show that the critical parameters (Yc₁,Yc₂) strongly depend on the geometry of the heating. Combined temperature and velocity field measurements show that the morphology of the plume resembles a finger, contrary to the mushroom-like shape encountered in Newtonian fluids. Numerical simulations using a purely viscous description, where the rheology of the fluid is described by a regularized Herschel-Bulkley model, are sufficient to capture the plume dynamics. A detailed parametric study shows that the plume dynamics are governed by the interplay between yield stress, buoyancy induced stress and viscous stresses. We identify two non-dimensional parameters: the yield parameter Ψ comparing the buoyancy induced stress to the yield stress, and the Bingham number Bi comparing the yield stress to the viscous stresses. We show that a plume can rise only if both parameters are supercritical, i.e. if buoyancy induced stress and viscous stresses each overcome the yield stress. Therefore the plume may come to a halt before it reaches the surface. We propose scaling laws for the plume stem velocity, temperature and the size of the shear zone in the steady state. We show that the scaling laws describe the behaviour in the plume stem reasonably well, if the yield stress is neglected and only the shear thinning behaviour is taken into account. Applying the non-dimensional parameters to Earth places severe constraints on the strength of mantle and lithosphere. The maximum strength that allows for thermal instabilities to penetrate the lithosphere or upper mantle is in between 100 kPa and 100 MPa, and strongly depends on the size and buoyancy of the anomaly
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Kiryu, Hamilton dos Santos [UNESP]. "Investigação reológica e análise mecânica de compósitos não-newtonianos." Universidade Estadual Paulista (UNESP), 2006. http://hdl.handle.net/11449/88892.
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Esta dissertação de mestrado traz à discussão o comportamento reológico de misturas formadas por água+colóides+detritos (areia fina), visando entender e esclarecer os processos físicos e mecânicos, tais como sedimentação e ressuspensão de materiais inertes no seio da massa fluida não-newtoniana (água+colóides), bem como verificar a validade ou adeqüabilidade do modelo reológico de Herschel-Bulkley (modelo previamente investigado e validado para misturas compostas de água+colóides) para misturas viscoplásticas com presença de grãos. A variação das propriedades reológicas das misturas, em função das características físicas dos grãos (diâmetro, massa específica e área superficial), é investigada, e um modelo de estimativa de tensão crítica é apresentado. Ademais foram realizados ensaios preliminares de escoamento de fluidos hiperconcentrados em canais inclinados, na tentativa de calibrar uma lei de atrito. Dentro dessas perspectivas, a dissertação é composta de 6 Capítulos com um denso Estado da Arte que descreve os fenômenos e mecanismos que regem os escoamentos desse tipo de compósito. Com base na literatura estudada e, a partir da análise dos resultados experimentais, pôde-se concluir que, para misturas compostas de água+colóides+detritos, o comportamento reológico das misturas é o mesmo que aquele do fluido intersticial (água+colóides), desde que a homogeneidade da mistura seja garantida (não ocorrência de sedimentação e ressuspensão sucessivas). Neste caso, o modelo reológico de Herschel-Bulkley continua sendo válido para explicar as curvas de escoamento ou de fluxo das misturas viscoplásticas com grãos. Para misturas que apresentem os fenômenos de sedimentação e ressuspensão, o modelo de Bagnold, adaptado a fluidos hiperconcentrados...
This work retakes the discussion about the rheological behavior of mixtures composed by water+ kaolinitic clay+fine sand in order to investigate the physical and mechanical processes such as sedimentation and suspension of inert materials into the non-Newtonian or interstitial fluid (water+colloids), as well as verify the adaptability of the Herschel-Bulkley rheological model (model previously investigated and validated for composed mixtures of water+ kaolinitic clay) for explain the viscoplastic+coarse materials rheological properties. The variation of the rheological properties of the mixtures in function of the coarse material characteristics (diameter, specific mass and superficial area) was investigated and a model predicting yield stress was proposed. Furthermore, some tests were performed in an inclined canal to determine a friction law for this kind of fluids. Inside of these perspectives, this dissertation is composed of 6 Chapters whit a dense State of the Art describing the phenomena and their mechanisms were pointed up. Based on literature and from the experimental results, one could concluded that the viscoplastic + coarse material mixtures behavior is the same of the interstitial fluid one, since that the homogeneity of the mixture is guaranteed (not occurrence of successive sedimentation and resuspension). In this case, Herschel-Bulkley rheological model is still valid to explain the curves of flow of the viscoplastic + coarse material. For mixtures that present the phenomena of sedimentation and resuspension, Bagnoldþs model, adapted to the hyperconcentrated fluids, describes well the variations of rheological parameters in function of the shear rates applied. Finally, it could be concluded that the experiments of free surface in canals, despite partial, can... (Complete abstract click electronic access below)
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Fonseca, Cleiton Elsner da. "Uma investigação numérica de escoamentos planares de fluidos Herschel-Bulkley regularizados empregando um método multi-campos de Galerkin mínimos-quadrados." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2009. http://hdl.handle.net/10183/15878.
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A grande maioria dos fluidos encontrados na natureza se comportam como fluidos não- Newtonianos o que torna o seu estudo muito importante para diversas áreas da engenharia. Este trabalho tem como objetivo simular o problema específico de escoamentos de fluidos viscoplásticos em expansões abruptas planares com razão de aspecto de 1:4. O problema em questão se mostra interessante pois em muitos sistemas industriais são apresentados a geometria proposta para estudo associada a fluidos viscoplásticos. Foi empregado o modelo mecânico multi-campos (mult-field) baseado nas equações de conservação de massa e balanço de momentum para escoamentos isocóricos acoplados com a equação constitutiva de um Fluido Newtoniano Generalizada (GNL), associada à função de viscosidade de Herschel-Bulkley regularizada através da equação de Papanastasiou. O modelo mecânico é aproximado por um modelo estabilizado de elementos finitos, denominado método Galerkin Mínimos-Quadrados (GLS). A fim de se pesquisar os fenômenos reológicos ali presentes é feito o estudo da influência do índice de power-law na topologia de um escoamento creeping flow (Re@0) para uma vasta faixa de números de Herschel-Bulkley variando entre 0.1 e 100. Os resultados mostraram-se satisfátorios, apresentando uma forte influencia do número de Herschel-Bulkley e do índice de power law na topologia e na dinâmica do escoamento. Obteve-se uma validação do trabalho comparando-se os resultados obtidos nesta dissertação com os obtidos em artigo de grande credibilidade e aceito por toda a academia científica.The majority of fluids found in nature behave like non-Newtonian fluids what makes their study of great importance to various areas of engineering. The present work aims to simulate the specific problem of the viscoplastic fluids flows through in planar abrupt expansion with the aspect ratio of 1:4. The problem in question is interesting because in many industrial systems are the proposal to study geometry associated with viscoplastic fluid. It employed the multi-field mechanical model based on equations of conservation of mass and momentum balance for the isochoric flow coupled with the constitutive equation of the Generalized Newtonian Liquids (GNL), associated with the function of viscosity of Herschel-Bulkley regularized by the equation of Papanastasiou. The mechanical model is approximated by a stabilized finite element model, called Galerkin Least-Squares method (GLS). In order to research the rheological phenomena present is done studying the influence of power-law index in the topology of the creeping flow (Re@0) for a wide range of numbers of Herschel-Bulkley ranging between 0.1 and 100. The results have proved satisfactory, showing a strong influence on the number of Herschel-Bulkley and power law index of the topology and dynamics of the flow. Got to be a validation of the work comparing the results with those obtained in this thesis in an article of great credibility and accepted throughout the scientific academy.
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Pedraza, Becerril Bianca Isabel. "LA REOLOGÍA EN EL PROCESO DE MICROFLUIDEZ EN PASTAS DE MORTERO DE CEMENTOS PORTLAND MEXICANOS." Tesis de Licenciatura, Universidad Autónoma del Estado de México, 2015. http://hdl.handle.net/20.500.11799/65975.
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El comportamiento de flujo también puede denominarse comportamiento reológico cuando los materiales se avalúan acorde a los parámetros de la reología. La reología hace mención que es una disciplina científica que se dedica al estudio de la deformación y flujo de la materia.
Su objetivo está restringido a la observación del comportamiento de materiales sometidos a deformaciones muy sencillas, desarrollando posteriormente un modelo matemático que permita obtener las propiedades reológicas del cemento. Algunos ejemplos cotidianos de interés para la reología se encuentran la mayonesa, yogurt, pinturas, asfalto, sangre y muchos más. Se sabe que un fluido es capaz de fluir debido a las fuerzas de cohesión en sus moléculas y suele deformarse continuamente cuando se somete a un esfuerzo
cortante. La viscosidad es una propiedad de transporte, ya que cuantifica la conductividad de cantidad de movimiento a través de un medio conductivo o fluido. Se interpreta como la resistencia que ofrecen los fluidos a ser deformados cuando son sometidos a un esfuerzo.
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Leite, Leandro de Oliveira Barbosa [UNESP]. "Determinação física e numérica de corridas de lama resultantes de ruptura de barreira retendo material viscoplástico." Universidade Estadual Paulista (UNESP), 2009. http://hdl.handle.net/11449/88862.
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Rompimentos de Barreira são fenômenos caracterizados por um campo de escoamento inicialmente represado e submetido nos instantes subseqüentes a uma liberação abrupta. Diversos modelos matemáticos e leis de comportamento reológico podem ser associados a este problema e cada um deles deve ser estudado e compreendido de maneira a predizer, a partir de testes físicos e numéricos, sua adequação à descrição da evolução espaço-temporal de frentes resultantes deste fenômeno, tipo ruptura de barragem, retendo água , rejeitos ou materiais de reologia complexa. O desenvolvimento de técnicas analíticas possibilitou entender de maneira impar o desenvolvimento desses fenômenos, porém, a difícil obtenção de dados que alcançassem consonância com aqueles obtidos experimentalmente, demonstrava a fragilidade desse tipo de análise perante a descrição de sistemas dinâmicos complexos. Sendo assim, optou-se pela tentativa de recriar estes fenômenos a partir de técnicas que utilizassem a manipulação de equações governantes completas. Sistemas contínuos podem ser analisados através de aproximações discretas, resultando em valores realísticos, muito próximos aos obtidos experimentalmente, e a capacidade computacional atual, permite diminuir sensivelmente os erros envolvidos, aumentando cada vez mais a consistência física destes métodos. Neste trabalho utilizou-se o software comercial ANSYS-CFX para simular os fenômenos de ruptura de barreira, configurando a reologia de dois materiais, o Carbopol 940 representando um material de reologia complexa (Herschel-Bulkley) e o Glicerol (Newtoniano), esses dados foram então confrontados com os obtidos experimentalmente através de um modelo em escala reduzida. Campos de velocidade, pressão e evolução temporal das frentes foram analisadas, verificando-se valores com grande consonância entre numérico e experimental, mostrando uma grande consistência física dos métodos utilizados
The Dam Break problem is a phenomenon characterized by a flow field initially dammed and submitted in the subsequent moments of an abrupt release. Various mathematical models and laws of rheological behavior may be associated with this type of problem and each must be studied and understood in order to predict from physical and numerical tests the temporal evolution of their fronts resulting from this phenomenon, type Dan Break problems, retaining water or rheology complex materials. The development of analytical techniques enabled the understanding the development of these phenomena, however, the difficulty to obtain a reach agreement data with those obtained experimentally, showed the fragility of this type of analysis to the description of complex dynamic systems. But, it was decided by attempt of recreate these phenomena from techniques that use the manipulation of complete government equations. Continuous systems can be analyzed by discrete approximations, leading to realistic values, very close to those obtained experimentally, and current computational capacity, enables to reduce the errors involved significantly, increasing the consistency of these physical methods. This work used the commercial software ANSYSCFX to simulate the phenomena of breaking the barrier, setting the rheology of two materials, the Carbopol 940 representing a material of complex rheology (Herschel-Bulkley) and glycerol (Newtonian), these data were then compared with those obtained experimentally using a model in scale. Fields of velocity, pressure and temporal evolution of the fronts were analyzed. Found very similar values between numerical and experimental simulations, showing the physical consistency of the methods used
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Metwally, Hossam Eldin Mahmoud Hassan. "A Computational Study of Enhanced Heat Transfer in Laminar Flows of Newtonian and Non-Newtonian (Power-Law and Herschel-Bulkley) Bluids in Corrugated-Plate Channels." University of Cincinnati / OhioLINK, 2002. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1022762582.
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Ferreira, Fabiana de Oliveira [UNESP]. "Abordagem matemática de roll waves em escoamentos hiperconcentrados com superfície livre." Universidade Estadual Paulista (UNESP), 2007. http://hdl.handle.net/11449/88889.
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Os escoamentos em superfície livre que ocorrem em canais inclinados, tanto em fluido Newtoniano quanto em fluido não-Newtoniano (hiperconcentrado), podem desenvolver instabilidades, tais como ondas em forma de ressalto hidráulico, com comprimentos bem definidos. Tais perturbações são denominadas Roll Waves. Essas ondas são comuns em canais artificiais, em lavas torrenciais e deslizamento de avalanchas. Neste trabalho, no plano teórico, é determinado um modelo matemático geral, com base nas equações de Navier- Stokes integradas na vertical, em cujo tensor de tensões é introduzido a reologia de Herschel- Bulkley. A velocidade média do escoamento é determinada levando-se em consideração que o escoamento apresenta um perfil de velocidade parabólico na região cisalhada (próximo ao fundo do canal) acoplado a um perfil linear na região não cisalhada (condição de plug), característico dos escoamentos de lamas e detritos. A partir do sistema de equações (conservação da massa e equação da quantidade de movimento) em variáveis adimensionais, uma análise de estabilidade linear é realizada, colocando em evidência as condições de formação dessas instabilidades, tanto em fluido hiperconcentrado como em fluido Newtoniano. Com as condições de formação de instabilidades estabelecidas, uma teoria analítica de Roll Waves permanente é imposta e um modelo matemático para geração de tais instabilidades é determinado. No plano numérico, utilizando a linguagem de programação Python, a validade do modelo é verificada, considerando que essas ondas são ajustadas por choques devido às singularidades existentes no modelo. Com a determinação das condições de choque e da velocidade de propagação da onda em um ponto crítico; pode-se observar a formação de Roll Waves em fluidos não Newtonianos com reologia de Herschel-Bulkley, Bingham, Power Law, como também em fluido Newtoniano.
The flows in free surface that occur in sloping canals, such as Newtonian fluid as in non- Newtonian fluid (hyperconcentrated), they can develop instabilities, such as long waves in form of hydraulical jumps, with well defined lengths; these instabilities are called Roll Waves, more common in artificial canals, torrential spillways of dams, lava and avalanche landslide. This work, in the theoretical plan, a general mathematical model is determined, on the basis of the integrated Navier-Stokes equation in the vertical, of tensor tensions the rheology of Herschel-Bulkley is introduced. The average velocity of the flows is determined taking itself in consideration that the flows presents a parabolic profile of speed in the shear region (near of the floor of canal) connected to a linear profile in the region not shear (condition of plug), categorized as flows of mudflows and debris flows. From the system of equations (conservation of the mass and equation of the momentum) in adimensional variables, an analysis of linear stability is carried through, placing the conditions of formation of these instabilities, as much in hyperconcentrated fluid as in Newtonian fluid. With the conditions of formation of instabilities established, a analytical theory of permanent Roll Waves is imployed and a mathematical model for geration of such stabilities it’s determined. In the numerical plan, using the computational consol Python, the validity of model is checked, considering of this waves are adjusted by shocks devided by the singularities existents in the model. With the determination of conditions of shock and the velocity of propagation of wave in a critical point; we can observe the formation of Roll Waves such in fluids non-Newtonians (Herschel- Bulkley, Bingham, Power law) as Newtonian fluids.
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Xenakis, Antonios. "Modelling multi-phase non-Newtonian flows using incompressible SPH." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/modelling-multiphase-nonnewtonian-flows-using-incompressible-sph(e7157868-b2df-4b78-be10-b980eeef31d8).html.
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Non-Newtonian fluids are of great scientific interest due to their range of physical properties, which arise from the characteristic shear stress-shear rate relation for each fluid. The applications of non-Newtonian fluids are widespread and occur in many industrial (e.g. lubricants, suspensions, paints, etc.) and environmental (e.g. mud, ice, blood, etc.) problems, often involving multiple fluids. In this study, the novel technique of Incompressible Smoothed Particle Hydrodynamics (ISPH) with shifting (Lind et al., J. Comput. Phys., 231(4):1499-1523, 2012), is extended beyond the state-of-the-art to model non-Newtonian and multi-phase flows. The method is used to investigate important problems of both environmental and industrial interest. The proposed methodology is based on a recent ISPH algorithm with shifting with the introduction of an appropriate stress formulation. The new method is validated both for Newtonian and non-Newtonian fluids, in closed-channel and free-surface flows. Applications in complex moulding flows are conducted and compared to previously published results. Validation includes comparison with other computational techniques such as weakly compressible SPH (WCSPH) and the Control Volume Finite Element method. Importantly, the proposed method offers improved pressure results over state-of-the-art WCSPH methods, while retaining accurate prediction of the flow patterns. Having validated the single-phase non-Newtonian ISPH algorithm, this develops a new extension to multi-phase flows. The method is applied to both Newtonian/Newtonian and Newtonian/non-Newtonian problems. Validations against a novel semi-analytical solution of a two-phase Poiseuille Newtonian/non-Newtonian flow, the Rayleigh-Taylor instability, and a submarine landslide are considered. It is shown that the proposed method can offer improvements in the description of interfaces and in the prediction of the flow fields of demanding multi-phase flows with both environmental and industrial application. Finally, the Lituya Bay landslide and tsunami is examined. The problem is approached initially on the real length-scales and compared with state-of-the-art computational techniques. Moreover, a detailed investigation is carried out aiming at the full reproduction of the experimental findings. With the introduction of a k-ε turbulence model, a simple saturation model and correct experimental initial conditions, significant improvements over the state-of-the-art are shown, managing an accurate representation of both the landslide as well as the wave run-up. The computational method proposed in this thesis is an entirely novel ISPH algorithm capable of modelling highly deforming non-Newtonian and multi-phase flows, and in many cases shows improved accuracy and experimental agreement compared with the current state-of-the-art WCSPH and ISPH methodologies. The variety of problems examined in this work show that the proposed method is robust and can be applied to a wide range of applications with potentially high societal and economical impact.
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Leite, Leandro de Oliveira Barbosa. "Determinação física e numérica de corridas de lama resultantes de ruptura de barreira retendo material viscoplástico /." Ilha Solteira : [s.n.], 2009. http://hdl.handle.net/11449/88862.
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Orientador: Geraldo de Freitas MacielBanca: Cassio Roberto Macedo Maia
Banca: Mônica Feijó Naccache
Resumo: Rompimentos de Barreira são fenômenos caracterizados por um campo de escoamento inicialmente represado e submetido nos instantes subseqüentes a uma liberação abrupta. Diversos modelos matemáticos e leis de comportamento reológico podem ser associados a este problema e cada um deles deve ser estudado e compreendido de maneira a predizer, a partir de testes físicos e numéricos, sua adequação à descrição da evolução espaço-temporal de frentes resultantes deste fenômeno, tipo ruptura de barragem, retendo água , rejeitos ou materiais de reologia complexa. O desenvolvimento de técnicas analíticas possibilitou entender de maneira impar o desenvolvimento desses fenômenos, porém, a difícil obtenção de dados que alcançassem consonância com aqueles obtidos experimentalmente, demonstrava a fragilidade desse tipo de análise perante a descrição de sistemas dinâmicos complexos. Sendo assim, optou-se pela tentativa de recriar estes fenômenos a partir de técnicas que utilizassem a manipulação de equações governantes completas. Sistemas contínuos podem ser analisados através de aproximações discretas, resultando em valores realísticos, muito próximos aos obtidos experimentalmente, e a capacidade computacional atual, permite diminuir sensivelmente os erros envolvidos, aumentando cada vez mais a consistência física destes métodos. Neste trabalho utilizou-se o software comercial ANSYS-CFX para simular os fenômenos de ruptura de barreira, configurando a reologia de dois materiais, o Carbopol 940 representando um material de reologia complexa (Herschel-Bulkley) e o Glicerol (Newtoniano), esses dados foram então confrontados com os obtidos experimentalmente através de um modelo em escala reduzida. Campos de velocidade, pressão e evolução temporal das frentes foram analisadas, verificando-se valores com grande consonância entre numérico e experimental, mostrando uma grande consistência física dos métodos utilizados
Abstract: The Dam Break problem is a phenomenon characterized by a flow field initially dammed and submitted in the subsequent moments of an abrupt release. Various mathematical models and laws of rheological behavior may be associated with this type of problem and each must be studied and understood in order to predict from physical and numerical tests the temporal evolution of their fronts resulting from this phenomenon, type Dan Break problems, retaining water or rheology complex materials. The development of analytical techniques enabled the understanding the development of these phenomena, however, the difficulty to obtain a reach agreement data with those obtained experimentally, showed the fragility of this type of analysis to the description of complex dynamic systems. But, it was decided by attempt of recreate these phenomena from techniques that use the manipulation of complete government equations. Continuous systems can be analyzed by discrete approximations, leading to realistic values, very close to those obtained experimentally, and current computational capacity, enables to reduce the errors involved significantly, increasing the consistency of these physical methods. This work used the commercial software ANSYSCFX to simulate the phenomena of breaking the barrier, setting the rheology of two materials, the Carbopol 940 representing a material of complex rheology (Herschel-Bulkley) and glycerol (Newtonian), these data were then compared with those obtained experimentally using a model in scale. Fields of velocity, pressure and temporal evolution of the fronts were analyzed. Found very similar values between numerical and experimental simulations, showing the physical consistency of the methods used
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Ferreira, Fabiana de Oliveira. "Abordagem matemática de roll waves em escoamentos hiperconcentrados com superfície livre /." Ilha Solteira : [s.n.], 2007. http://hdl.handle.net/11449/88889.
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Orientador: Geraldo de Freitas MacielBanca: José Luiz Gasche
Banca: José Carlos Cesar Amorim
Resumo: Os escoamentos em superfície livre que ocorrem em canais inclinados, tanto em fluido Newtoniano quanto em fluido não-Newtoniano (hiperconcentrado), podem desenvolver instabilidades, tais como ondas em forma de ressalto hidráulico, com comprimentos bem definidos. Tais perturbações são denominadas Roll Waves. Essas ondas são comuns em canais artificiais, em lavas torrenciais e deslizamento de avalanchas. Neste trabalho, no plano teórico, é determinado um modelo matemático geral, com base nas equações de Navier- Stokes integradas na vertical, em cujo tensor de tensões é introduzido a reologia de Herschel- Bulkley. A velocidade média do escoamento é determinada levando-se em consideração que o escoamento apresenta um perfil de velocidade parabólico na região cisalhada (próximo ao fundo do canal) acoplado a um perfil linear na região não cisalhada (condição de plug), característico dos escoamentos de lamas e detritos. A partir do sistema de equações (conservação da massa e equação da quantidade de movimento) em variáveis adimensionais, uma análise de estabilidade linear é realizada, colocando em evidência as condições de formação dessas instabilidades, tanto em fluido hiperconcentrado como em fluido Newtoniano. Com as condições de formação de instabilidades estabelecidas, uma teoria analítica de Roll Waves permanente é imposta e um modelo matemático para geração de tais instabilidades é determinado. No plano numérico, utilizando a linguagem de programação Python, a validade do modelo é verificada, considerando que essas ondas são ajustadas por choques devido às singularidades existentes no modelo. Com a determinação das condições de choque e da velocidade de propagação da onda em um ponto crítico; pode-se observar a formação de Roll Waves em fluidos não Newtonianos com reologia de Herschel-Bulkley, Bingham, Power Law, como também em fluido Newtoniano.
Abstract: The flows in free surface that occur in sloping canals, such as Newtonian fluid as in non- Newtonian fluid (hyperconcentrated), they can develop instabilities, such as long waves in form of hydraulical jumps, with well defined lengths; these instabilities are called Roll Waves, more common in artificial canals, torrential spillways of dams, lava and avalanche landslide. This work, in the theoretical plan, a general mathematical model is determined, on the basis of the integrated Navier-Stokes equation in the vertical, of tensor tensions the rheology of Herschel-Bulkley is introduced. The average velocity of the flows is determined taking itself in consideration that the flows presents a parabolic profile of speed in the shear region (near of the floor of canal) connected to a linear profile in the region not shear (condition of plug), categorized as flows of mudflows and debris flows. From the system of equations (conservation of the mass and equation of the momentum) in adimensional variables, an analysis of linear stability is carried through, placing the conditions of formation of these instabilities, as much in hyperconcentrated fluid as in Newtonian fluid. With the conditions of formation of instabilities established, a analytical theory of permanent Roll Waves is imployed and a mathematical model for geration of such stabilities it's determined. In the numerical plan, using the computational consol Python, the validity of model is checked, considering of this waves are adjusted by shocks devided by the singularities existents in the model. With the determination of conditions of shock and the velocity of propagation of wave in a critical point; we can observe the formation of Roll Waves such in fluids non-Newtonians (Herschel- Bulkley, Bingham, Power law) as Newtonian fluids.
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Ghemmour, Assia. "Ecoulements à surface libre de fluides à seuil : rhéométrie et validation des caractéristiques hydrauliques dans un canal à fond mobile. Application aux laves torrentielles." Thesis, Grenoble, 2011. http://www.theses.fr/2011GRENI060/document.
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Cette thèse présente une étude expérimentale visant à caractériser les propriétés hydrauliquesd'écoulements à surface libre de fluides complexes: fluides viscoplastiques et mélangesfluides viscoplastiques-grains. Ce travail est motivé par la nécessité d'améliorer lesconnaissances sur les propriétés des écoulements de laves torrentielles, dans un contexte deprotection contre les risques naturels en montagne. Nous avons développé un dispositif delaboratoire original, un canal à fond mobile, permettant de générer des coulées gravitaires quisont globalement stationnaires dans le référentiel du laboratoire. Les coulées présentent unfront très raide, suivi à l'amont d'une zone d'épaisseur uniforme. Les fluides viscoplastiquesutilisés (carbopol et kaolin) ont été choisis de manière à modéliser la matrice des couléesboueuses naturelles en prenant en compte les critères de similitude adaptés. Ces fluidessuivent une loi de comportement de Herschel-Bulkley, et leurs propriétés rhéologiques ont étédéterminées au moyen d'un rhéomètre de laboratoire en accordant un soin particulier àl'établissement des incertitudes associées. Nous présentons des mesures précises de l'évolutionde l'épaisseur des coulées dans la zone uniforme en fonction de la vitesse du fond du canal etde la pente. Ces résultats sont comparés à des prédictions théoriques correspondant à unécoulement permanent et uniforme d'un fluide de Herschel-Bulkley, et nous montrons quel'accord est satisfaisant moyennant les incertitudes sur les mesures rhéologiques. Nous avonségalement analysé la forme du front des coulées et, là-aussi, l'accord avec des modèleshydrauliques (modèles de type Saint-Venant) est bon. Ces deux études permettent de validerles prédictions hydrauliques obtenues à partir de lois de comportement mesurées aurhéomètre. Enfin, dans une dernière partie, nous présentons une étude préliminaire de ladynamique de particules rigides isolées placées au sein de la coulée, en nous intéressant auxvitesses longitudinales et aux vitesses de chute pour différentes tailles et différentes densitésde particulesThis thesis presents an experimental study dedicated to characterise the hydraulic propertiesof free surface flows of complex fluids : viscoplastic fluids and mixtures made of viscoplasticfluids and grains. This study is motivated by the need to improve knowledge on properties ofthe flow of debris flows in a context of protection against natural hazards in the mountains.We have developed an original laboratory device - a channel with a mobile bottom - togenerate gravitary flows that are globally stationary in the laboratory frame. The flows have avery steep front followed upstream by a zone of uniform thickness. Viscoplastic fluids used(carbopol and kaolin) were selected so to model the matrix of natural mud flows, taking intoaccount the criteria of similarity adapted. These fluids follow a behavior law of Herschel-Bulkley, and their rheological properties were determined using a laboratory rheometer byproviding a particular care to the establishment of the associated uncertainties. We presentaccurate measurements of the evolution of the thickness of the flow in the uniform zone withthe the velocity speed of channel belt. These results are compared with theoretical predictionscorresponding to a steady uniform flow of a fluid of Herschel-Bulkley, and we show that theagreement is satisfactory through the uncertainties on the rheological measurements. We alsoanalyzed the shape of front, and here too, the agreement with hydraulic models (models likeSaint-Venant) is good. Both of the studies allowed to validate the hydraulic predictionsobtained from behavior laws measured with the rheometer. Finally, in a last section, wepresent a Preliminary study about the dynamics of isolated rigid particles placed in the flow,by paying attention to longitudinal velocities and falling velocities for different particle sizesand densities
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Maßmeyer, Anna. "Instabilités thermiques dans un fluide à seuil : de l'échelle du laboratoire à celle de la planète." Phd thesis, Université Paris Sud - Paris XI, 2013. http://tel.archives-ouvertes.fr/tel-00841604.
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Des panaches sont connus pour migrer à travers le manteau ductile et quasi-Newtonien ; alors que les dikes se fracturent et se propagent dans la lithosphère solide. Cependant, la lithosphère est en fait visco-élastique. Afin de déterminer ce qui se passe dans ce cas complexe, nous avons réalisé une étude expérimentale et numérique sur le développement de panaches thermiques dans des solutions aqueuses de Carbopol, un gel de polymères formant un réseau continu d'éponges microscopiques. Ce fluide est rhéofluidifiant et présente un seuil de contrainte σ₀, de sorte que l'écoulement ne se produit que si la contrainte locale dépasse cette valeur critique σ₀. En dessous de cette valeur, le fluide agit comme un solide élastique. Les propriétés rhéologiques des solutions peuvent être systématiquement ajustées en variant la concentration de Carbopol. Le dispositif consiste en une source locale de chaleur de puissance constante placée au centre d'une cuve cubique. Selon la valeur du rapport entre la contrainte d'origine thermique et la contrainte seuil, Y₀, on peut observer trois régimes différents. A faible Y₀.
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Santos, Francisco Lledo dos [UNESP]. "Estudo teórico-experimental em via de determinação de lei de atrito em escoamentos de fluidos hiperconcentrados." Universidade Estadual Paulista (UNESP), 2003. http://hdl.handle.net/11449/98092.
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santos_fl_me_ilha.pdf: 5580224 bytes, checksum: 7664797be424662e0d0d1021e9ee4dc5 (MD5)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Em função da concentração de material sólido, misturas resultantes de argila e água conferem, via de regra, propriedades não-Newtonianas. Essa concentração passa a variar com a granulometria e a composição do mineral do sedimento, bem como com a qualidade da água. Algumas tentativas foram feitas na busca de melhor explicar a reologia e a dinâmica global dessas misturas nessa última década, notadamente no contexto de lavas torrenciais e misturas hiperconcentradas. Essa dissertação de mestrado tem por objetivo desenvolver uma caracterização reológica de misturas sólido-líquido (água+argila caulinítica e água+areia fina+argila caulinítica) com diferentes concentrações em volume (Cv) para as quais são determinadas, a partir de ensaios de reometria de precisão, as propriedades tais como a viscosidade aparente, tensão crítica de cisalhamento e curva de tensão de cisalhamento x taxa de deformação. Verificou-se, em condições controladas, a influência da temperatura, pH e concentração em volume (Cv) sobre a curva reológica dessas misturas, além de eventuais fenômenos de tixotropia e modo de preparo. O modelo reológico melhor ajustado para as argilas foi o de Herschel-Bulkley ( ( )n τ =τ c + k γ& ), onde: τ é a tensão de cisalhamento; τc é a tensão crítica (ou rigidez inicial); k é um termo de consistência (viscosidade aparente); n é o índice de escoamento; e dy γ& = du é a taxa de deformação. Obtém-se também, a partir de uma análise quantitativa global, leis de evolução dos diversos parâmetros reológicos em função da concentração em volume. Após a etapa de caracterização física e reológica das misturas, realizaram-se, sob condições controladas, ensaios dinâmicos através de escoamentos de lamas em canal inclinado. Nesses ensaios foram medidos os parâmetros lâmina normal, vazões... ; n is flow index; and dy γ& = du is shear rate. It is also obtained, from a global quantitative analysis, evolution laws of the several rheologics parameters in function of the solid volume concentration. After the stage of rheological and physical characterization of mixing samples, dynamics experiments were made, under controlled conditions, than the flow of mud was observed in the open channel. These analyses were made in order to examine the behavior of parameters such as: normal depth, discharge and velocities. In fact, the experience showed that is possible to deduce wall friction laws from the rheological proprieties based on high mud concentrated suspensions and the dynamic of these muds.
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Vieira, Adriana Silveira. "Um panorama sobre roll waves em escoamentos laminares e turbulentos com superfície livre /." Ilha Solteira : [s.n.], 2007. http://hdl.handle.net/11449/88890.
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Orientador: Geraldo de Freitas MacielBanca: André Luiz Seixlack
Banca: Luís Miguel Chagas da Costa Gil
Resumo: Os escoamentos na superfície livre que se processam sobre forte declividade podem desenvolver instabilidades ao cabo de tempo finito. Tais instabilidades aparecem sob formas de ondas tipo "hydraulic jumps" bem espaçados e são denominadas Roll Waves. Estas ondas, longas e periódicas, podem ser contínuas ou descontínuas; contínuas em problema Shallow Water viscoso e descontínuas para o caso não viscoso. Tal fenômeno pode ser observado tanto em escoamentos naturais como em canais artificiais e vertedouros de barragens. Tratando-se de escoamento de Fluidos não newtonianos, tal fenômeno pode ser visto facilmente em lavas torrenciais, avalanchas ou "debris flows". Nesta dissertação foram analisados matematicamente e numericamente o comportamento e as condições de existência para a formação de Roll Waves em escoamentos laminares e turbulentos. Em escoamentos turbulentos toma-se como referência os trabalhos realizados por Maciel (2001) numa reologia Binghamiana. Para escoamentos laminares, cita-se o trabalho de Mei (1994) em uma reologia tipo Power Law. No plano numérico, para escoamentos turbulentos, foram utilizadas rotinas do MATLAB® versão 6.5 e, para escoamentos laminares, rotinas em FORTRAN 90; onde pôde-se analisar e comparar resultados para diversas reologias. O foco desta dissertação foi tratar o problema Roll Waves como uma instabilidade na vizinhança do regime uniforme para Fluidos não newtonianos, em regimes turbulentos e laminares. A reologia tratada e representativa de diversos escoamentos na natureza foi a de Herschel Bulkley. A partir desta dissertação deixa-se, como perspectiva futura, um estudo mais aprofundado sob formação de ondas em fluidos hiperconcentrados tipo Herschel Bulkley com abordagem experimental a fim de validar resultados apontados nesta pesquisa.
Abstract: Flows that happen over strong slope with free surface can develop instabilities after some finite time. Such wave shaped instabilities appear in the flow and are of the type "hydraulic jumps" well spaced and they are called Roll Waves. Those waves are long and periodic, continuous or discontinuous, continuous in viscous Shallow Water problems, and discontinuous for the inviscid case. Roll Waves are uncommon in natural flows, but they are common in man made channels and dams spillway. For flows of non Newtonian fluids such phenomenon can be seen easily in lava torrent, avalanche and debris flow. In this work it were mathematically and numerically analyzed the behavior and the existence conditions for the generation of Roll Waves within laminar and turbulent flows. For turbulent flows it is taken as reference the works done by Maciel (2001) dealing with a Bingham rheology. For laminar flows the reference is the work done by Mei (1994) using a Power Law rheology. Numerically, for turbulent flows it were used MATLAB® 6.5 procedures and for laminar flows FORTRAN 90 procedures were developed. Using these reference procedures it was obtained compared and analyzed results for several rheologies. This work left as future perspective a deeper study about the generation of waves in hipper concentrated fluids such as Herschel Bulkley fluid, with an experimental approach aiming to validate results produced. The focus of this work was to treat the so called Roll Waves problem as an instability in the vicinity of the uniform flow regime for non Newtonian fluids under laminar and turbulent flow regimes. The Herschel Bulkley rheology that was treated in this work is representative of several flows that happen in nature.
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Kiryu, Hamilton dos Santos. "Investigação reológica e análise mecânica de compósitos não-newtonianos /." Ilha Solteira : [s.n.], 2006. http://hdl.handle.net/11449/88892.
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Orientador: Geraldo de Freitas MacielBanca: Edson Del Rio Vieira
Banca: Jefferson B. Libardi Liborio
Resumo: Esta dissertação de mestrado traz à discussão o comportamento reológico de misturas formadas por água+colóides+detritos (areia fina), visando entender e esclarecer os processos físicos e mecânicos, tais como sedimentação e ressuspensão de materiais inertes no seio da massa fluida não-newtoniana (água+colóides), bem como verificar a validade ou adeqüabilidade do modelo reológico de Herschel-Bulkley (modelo previamente investigado e validado para misturas compostas de água+colóides) para misturas viscoplásticas com presença de grãos. A variação das propriedades reológicas das misturas, em função das características físicas dos grãos (diâmetro, massa específica e área superficial), é investigada, e um modelo de estimativa de tensão crítica é apresentado. Ademais foram realizados ensaios preliminares de escoamento de fluidos hiperconcentrados em canais inclinados, na tentativa de calibrar uma lei de atrito. Dentro dessas perspectivas, a dissertação é composta de 6 Capítulos com um denso Estado da Arte que descreve os fenômenos e mecanismos que regem os escoamentos desse tipo de compósito. Com base na literatura estudada e, a partir da análise dos resultados experimentais, pôde-se concluir que, para misturas compostas de água+colóides+detritos, o comportamento reológico das misturas é o mesmo que aquele do fluido intersticial (água+colóides), desde que a homogeneidade da mistura seja garantida (não ocorrência de sedimentação e ressuspensão sucessivas). Neste caso, o modelo reológico de Herschel-Bulkley continua sendo válido para explicar as curvas de escoamento ou de fluxo das misturas viscoplásticas com grãos. Para misturas que apresentem os fenômenos de sedimentação e ressuspensão, o modelo de Bagnold, adaptado a fluidos hiperconcentrados... (Resumo completo, clicar acesso eletrônico abaixo)
Abstract: This work retakes the discussion about the rheological behavior of mixtures composed by water+ kaolinitic clay+fine sand in order to investigate the physical and mechanical processes such as sedimentation and suspension of inert materials into the non-Newtonian or interstitial fluid (water+colloids), as well as verify the adaptability of the Herschel-Bulkley rheological model (model previously investigated and validated for composed mixtures of water+ kaolinitic clay) for explain the viscoplastic+coarse materials rheological properties. The variation of the rheological properties of the mixtures in function of the coarse material characteristics (diameter, specific mass and superficial area) was investigated and a model predicting yield stress was proposed. Furthermore, some tests were performed in an inclined canal to determine a friction law for this kind of fluids. Inside of these perspectives, this dissertation is composed of 6 Chapters whit a dense State of the Art describing the phenomena and their mechanisms were pointed up. Based on literature and from the experimental results, one could concluded that the viscoplastic + coarse material mixtures behavior is the same of the interstitial fluid one, since that the homogeneity of the mixture is guaranteed (not occurrence of successive sedimentation and resuspension). In this case, Herschel-Bulkley rheological model is still valid to explain the curves of flow of the viscoplastic + coarse material. For mixtures that present the phenomena of sedimentation and resuspension, Bagnoldþs model, adapted to the hyperconcentrated fluids, describes well the variations of rheological parameters in function of the shear rates applied. Finally, it could be concluded that the experiments of free surface in canals, despite partial, can... (Complete abstract click electronic access below)
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Minussi, Roberta Brondani [UNESP]. "Rompimento de barreiras: análise experimental e numérica na previsão de velocidades de propagação de frentes de material hiperconcentrado." Universidade Estadual Paulista (UNESP), 2007. http://hdl.handle.net/11449/88874.
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minussi_rb_me_ilha.pdf: 1918415 bytes, checksum: 5176f1d27a7b361288abf94e48919e04 (MD5)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
Denominam-se problemas tipo rompimento de barreira os fenômenos nos quais um fluido é liberado de maneira abrupta. Quando o fluido apresenta natureza hiperconcentrada, a relação entre a tensão de cisalhamento e a taxa de deformação pode se tornar não-linear, passando a apresentar reologia não-Newtoniana. Problemas deste tipo podem ser encontrados em muitos fenômenos tanto na natureza quanto em processos industriais. O estudo de tal problema é, geralmente, conduzido usando simplificações, como a aproximação de águas rasas e a separação do escoamento em regimes dominantemente inerciais ou viscosos. O presente trabalho é composto de duas partes, uma experimental e outra, numérica. No campo experimental, duas soluções controladas são usadas: soluções aquosas de açúcar e de Carbopol 940, esta última com várias concentrações volumétricas. O aparato experimental consiste em um canal retangular de acrílico, contendo uma comporta, a montante da qual, o fluido é retido e, pela ruptura (levantamento da comporta), começa a escoar. O escoamento é estudado através de técnicas avançadas de filmagem. No campo numérico, são realizadas simulações usando o programa CFX, no qual é usado um método de rastreamento de interface, o VOF e sem o emprego das simplificações citadas. Os resultados experimentais são comparados com os numéricos e com resultados da literatura que usam tais simplificações. Na comparação a aproximação de águas rasas, apesar de descrever bem a forma da interface, se distancia dos valores reais da posição da frente de onda.
The dam break problem describes a phenomenon in which there is an abrupt release of fluid. When the fluid is hiperconcentrated, the relation between the shear stress and the strain rate can become non-linear, and so present a non-Newtonian rheology. The non-Newtonian dam break problem may be found in many phenomena in nature and industrial process. The study of such a problem is, generally, conducted using simplified hypothesis such as the shallow water approximation and the separation of the flow in inertial and viscous dominated regimes. The present work is composed of two parts, one experimental and other, numerical. In the experimental field, two controlled solutions were used: water solutions of sugar and of Carbopol 940, the last one with a wide range of volume concentrations. These fluids have, respectively, Newtonian and non-Newtonian rheologies. The experimental setup consists of an acrylic rectangular channel, which has a dam and upstream of that the fluid is retained and, by the rupture, it begins to flow. The flow is studied by using advanced filming techniques. In the numerical field, simulations are conducted using the CFX software, which uses an interface tracking method, the VOF, and without the shallow water approximation and the division of the flow. So the experimental, numerical and literature results, that uses such simplifications, are compared and it is showed that the shallow water approximation, however describes very well the shape of the surface, is not accurate in calculate the wave front position.
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Moreno, E. (Elvira). "Elementos finitos mixtos estabilizados para flujos viscoplásticos." Doctoral thesis, Universitat Politècnica de Catalunya, 2014. http://hdl.handle.net/10803/246119.
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The objective of this thesis is to develop and evaluate a methodology for the solution of the Navier-Stokes equations for Bingham Herschel-Bulkley viscoplastic fluids using stabilized mixed velocity/pressure finite elements. The theoretical formulation is developed and implemented in a computer code. Numerical solutions for these viscoplastic flows are presented and assessed.
Viscoplastic fluids are characterized by minimum shear stress called yield stress. Above this yield stress, the fluid is able to flow. Below this yield stress, the fluid behaves as a quasi-rigid body, with zero strain-rate.
First, the Navier-Stokes equations for incompressible fluid and two immiscible fluids considering free surface are presented. A review of the Newtonian and non-Newtonian rheological models is included, with a detailed description of the viscoplastic models. The regularized viscoplastic models due to Papanastasiou are described. Double viscosity regularized models are proposed.
The analytical solutions for parallel flows are deduced for Newtonian, Bingham, and Herschel-Bulkley, pseudoplastic and dilatant fluids.
The discrete model is developed, and the Algebraic SubGrid Scale (ASGS) stabilization method, the Orthogonal Subgrid scale (OSS) method and the split orthogonal subscales method are introduced. For the cases of flows with a free surface, the simplified Eulerian method is employed, with the level set method to solve the motion of the free.
A convergence study is performed to compare the ASGS and OSS stabilization methods in parallel flows with Bingham and Herschel-Bulkley fluids. The double viscosity regularized models show lower convergence error convergence than the regularized models used commonly.
Numerical solutions developed in this thesis are applied to a broad set of benchmark problems. They can be divided into three groups: Bingham flows, Herschel-Bulkley flows and free surface flows.
The solutions obtained validate the methodology proposed in this research and com-pare well with the analytical and numerical solutions, experimental and field data.
The methodology proposed in this thesis provides a computational tool to study con-fined viscoplastic flows, common in industry, and debris viscoplastic flows with free surface.El objetivo de esta tesis es formular y evaluar una metodología para la resolución de las ecuaciones de Navier-Stokes para los fluidos viscoplásticos de Bingham y de Herschel-Bulkley mediante el método de los elementos finitos mixtos estabilizados velocidad/presión. Se desarrolla una formulación teórica, se realiza la implementación computacional y se presentan y evalúan soluciones numéricas para estos fluidos viscoplásticos. Los fluidos viscoplásticos se caracterizan por presentar una tensión de corte mínima, denominada tensión de fluencia. Por encima de esta tensión de corte mínima el fluido comienza a moverse. En caso de no superarse esta tensión de fluencia, el fluido se comporta como un cuerpo rígido o quasi-rígido, con velocidad de deformación nula. Se presentan inicialmente las ecuaciones de Navier-Stokes para un fluido y dos fluidos incompresibles e inmiscibles considerando superficie libre. Se presenta una revisión de los modelos reológicos Newtonianos y los modelos no-Newtonianos. Se hace una descripción detallada de los modelos viscoplásticos. Se describen los modelos viscoplásticos regularizados de Papanastasiou. Se proponen modelos regualarizados de doble viscosidad como alternativa a los comúnmente usados. Se deducen las soluciones analítica en flujos paralelos para el fluido Newtoniano, el fluido de Bingham, de Herschel-Bulkley, el fluido pseudoplástico y dilatante. Se desarrolla el modelo discreto, así como la formulación estabilizada con los métodos de subescalas algebraica (Algebraic subgrid scale, ASGS), de subescalas ortogonales (Orthogonal subgrid scale, OSS) y de subescalas ortogonales con la presión y el termino convectivo desacoplados, split-OSS. En el caso del fluido con superficie libre se presenta el método euleriano simplificado, el cual usa el método de superficie de nivel level set para resolver el movimiento de esta superficie libre. Se presenta un estudio de convergencia con los métodos de estabilización OSS y ASGS en los flujos paralelos de Bingham y de Herschel-Bulkley. Los modelos regularizados de doble viscosidad muestran menor error de convergencia que los usados regularmente. Se presentan las soluciones numéricas desarrolladas en esta tesis para un amplio conjunto de problemas benchmark. Pueden dividirse en tres grupos: flujos de Bingham, flujos de Herschel-Bulkley y flujos con superficie libre. Las soluciones obtenidas validan la metodología propuesta en este trabajo de investigación comparándose muy bien con las soluciones analíticas, numéricas, con resultados experimentales y datos de campo. La metodología propuesta en esta tesis proporciona una herramienta computacional para estudiar flujos viscoplásticos confinados, muy comunes en la industria, y los flujos detríticos viscoplásticos con superficie libre.
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Minussi, Roberta Brondani. "Rompimento de barreiras : análise experimental e numérica na previsão de velocidades de propagação de frentes de material hiperconcentrado /." Ilha Solteira : [s.n.], 2007. http://hdl.handle.net/11449/88874.
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Orientador: Geraldo de Freitas MacielBanca: Sérgio Said Mansur
Banca: Jean Paul Vila
Resumo: Denominam-se problemas tipo rompimento de barreira os fenômenos nos quais um fluido é liberado de maneira abrupta. Quando o fluido apresenta natureza hiperconcentrada, a relação entre a tensão de cisalhamento e a taxa de deformação pode se tornar não-linear, passando a apresentar reologia não-Newtoniana. Problemas deste tipo podem ser encontrados em muitos fenômenos tanto na natureza quanto em processos industriais. O estudo de tal problema é, geralmente, conduzido usando simplificações, como a aproximação de águas rasas e a separação do escoamento em regimes dominantemente inerciais ou viscosos. O presente trabalho é composto de duas partes, uma experimental e outra, numérica. No campo experimental, duas soluções controladas são usadas: soluções aquosas de açúcar e de Carbopol 940, esta última com várias concentrações volumétricas. O aparato experimental consiste em um canal retangular de acrílico, contendo uma comporta, a montante da qual, o fluido é retido e, pela ruptura (levantamento da comporta), começa a escoar. O escoamento é estudado através de técnicas avançadas de filmagem. No campo numérico, são realizadas simulações usando o programa CFX, no qual é usado um método de rastreamento de interface, o VOF e sem o emprego das simplificações citadas. Os resultados experimentais são comparados com os numéricos e com resultados da literatura que usam tais simplificações. Na comparação a aproximação de águas rasas, apesar de descrever bem a forma da interface, se distancia dos valores reais da posição da frente de onda.
Abstract: The dam break problem describes a phenomenon in which there is an abrupt release of fluid. When the fluid is hiperconcentrated, the relation between the shear stress and the strain rate can become non-linear, and so present a non-Newtonian rheology. The non-Newtonian dam break problem may be found in many phenomena in nature and industrial process. The study of such a problem is, generally, conducted using simplified hypothesis such as the shallow water approximation and the separation of the flow in inertial and viscous dominated regimes. The present work is composed of two parts, one experimental and other, numerical. In the experimental field, two controlled solutions were used: water solutions of sugar and of Carbopol 940, the last one with a wide range of volume concentrations. These fluids have, respectively, Newtonian and non-Newtonian rheologies. The experimental setup consists of an acrylic rectangular channel, which has a dam and upstream of that the fluid is retained and, by the rupture, it begins to flow. The flow is studied by using advanced filming techniques. In the numerical field, simulations are conducted using the CFX software, which uses an interface tracking method, the VOF, and without the shallow water approximation and the division of the flow. So the experimental, numerical and literature results, that uses such simplifications, are compared and it is showed that the shallow water approximation, however describes very well the shape of the surface, is not accurate in calculate the wave front position.
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Li, Chong. "Instabilité de Rayleigh-Bénard dans les fluides à seuil : critère de démarrage, expériences et modélisation." Thesis, Université Grenoble Alpes (ComUE), 2015. http://www.theses.fr/2015GREAI050/document.
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La convection de Rayleigh-Bénard est étudiée expérimentalement dans une cellule circulaire. Des fluides à seuil modèles (gels aqueux de Carbopol) sont mis en œuvre. Leurs comportements rhéologiques et leurs perméabilités en relation avec leurs microstructures ont été finement caractérisés. Dans toute la thèse, les expériences ont été menées sans glissement à la paroi. L'influence du seuil d'écoulement et de la distance entre plaques chaudes et froides sur les transferts thermiques a été approfondie. Trois mécanismes sont discutés pour expliquer le déclenchement de la convection: i) les propriétés visco-élastiques au-dessous du seuil, ii) le fluage au-dessous du seuil, iii) une approche d'un milieu poreux pour les gels de Carbopol considérés comme une suspension de micro-gels. On montre que le nombre de seuil Y, représentant le rapport entre la contrainte du seuil et la contrainte de la poussée d'Archimède est un paramètre important gouvernant l'apparition de l'instabilité. Les valeurs critiques de Y^(-1) sont déterminées entre 60 et 90. La visualisation à l'aide des cristaux liquides thermo-chromiques a permis une vue globale de la cinématique. Les structures observées dans les différents états thermiques montrent l'évolution de la convection. Une analyse qualitative du champ de température est également présentée. Enfin, la simulation numérique dans une cellule carré avec un modèle d'Herschel-Bulkley régularisé dans la gamme des nombres sans dimension utilisée dans les expérience a permis de mettre en évidence les paramètres critiques et la morphologie des champs thermiques et cinématique. Les ordres de grandeurs du nombre de seuil critique prédit se comparent raisonnablement avec les valeurs expérimentalesIn this thesis, three main mechanisms proposed in a recent paper (Darbouli et al., Physics of fluids, 25(2) 2013) have been discussed to explain the onset of Rayleigh Bénard Convection in a yield fluid (Carbopol gels): i) the elasto-visco-plasticity behavior of the material below the yield stress, ii) a viscosity at low values of shear rates by creep measurements below the yield stress, iii) a microscopic viewpoint considering the fluid as a porous two phases system. No-slip conditions have been achieved for all the experiments. The results with different Carbopol gels have proved the importance of Y, the yield number which presents the report of the yield stress and the buoyancy effect, as the governing parameter. The critical value of Y^(-1) with no-slip condition has been found between 60 and 90. A visualization measurement with the utilization of thermochromics liquid crystals presents a global view from above. Different structures have been observed in different states of thermal conditions, which describe the evolution of the convection. For several cases the color of the liquid crystals can indicate the temperature field in the whole experiment cell. Numerical simulations with a Herschel-Bulkley model have also been discussed in this thesis. The dimensionless parameters are defined approaching the values obtained in the experiments, so that we can compare the numerical results with some of experimental ones
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Santos, Francisco Lledo dos. "Estudo teórico-experimental em via de determinação de lei de atrito em escoamentos de fluidos hiperconcentrados /." Ilha Solteira : [s.n.], 2003. http://hdl.handle.net/11449/98092.
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Orientador : Geraldo de Freitas Maciel.Banca: Podalyro Amaral de Souza
Banca: Adriano Souza
Resumo: Em função da concentração de material sólido, misturas resultantes de argila e água conferem, via de regra, propriedades não-Newtonianas. Essa concentração passa a variar com a granulometria e a composição do mineral do sedimento, bem como com a qualidade da água. Algumas tentativas foram feitas na busca de melhor explicar a reologia e a dinâmica global dessas misturas nessa última década, notadamente no contexto de lavas torrenciais e misturas hiperconcentradas. Essa dissertação de mestrado tem por objetivo desenvolver uma caracterização reológica de misturas sólido-líquido (água+argila caulinítica e água+areia fina+argila caulinítica) com diferentes concentrações em volume (Cv) para as quais são determinadas, a partir de ensaios de reometria de precisão, as propriedades tais como a viscosidade aparente, tensão crítica de cisalhamento e curva de tensão de cisalhamento x taxa de deformação. Verificou-se, em condições controladas, a influência da temperatura, pH e concentração em volume (Cv) sobre a curva reológica dessas misturas, além de eventuais fenômenos de tixotropia e modo de preparo. O modelo reológico melhor ajustado para as argilas foi o de Herschel-Bulkley ( ( )n τ =τ c + k γ& ), onde: τ é a tensão de cisalhamento; τc é a tensão crítica (ou rigidez inicial); k é um termo de consistência (viscosidade aparente); n é o índice de escoamento; e dy γ& = du é a taxa de deformação. Obtém-se também, a partir de uma análise quantitativa global, leis de evolução dos diversos parâmetros reológicos em função da concentração em volume. Após a etapa de caracterização física e reológica das misturas, realizaram-se, sob condições controladas, ensaios dinâmicos através de escoamentos de lamas em canal inclinado. Nesses ensaios foram medidos os parâmetros lâmina normal, vazões... (Resumo completo, clicar acesso eletrônico abaixo).
According to solid concentration material, clay-water mixture can exhibit non- Newtonian properties. Mixture concentrations vary with the grain size distribution and the composition of the mineral sediment, as well as, with the water quality. In the last decade some attempts were realized to explain the rheology and the global dynamics of those mixtures, mainly in the context of mudflows and high mud concentrated suspensions. The purpose of this work is develop a rheological characterization of solid-liquid mixture (water + clay kaolinitic and water + fine sand + clay kaolinitic) with different solid volume concentrations (Cv) for which are determined, using a R/S Rheometer (Brookfield), rheological properties such as the apparent viscosity, yield stress and shear stress x shear rate curve. It was verified, under controlled conditions, the influence of the temperature, pH and solid volume concentration (Cv) on the rheological curve those mixtures, besides eventual tixotropy phenomenon and way of prepare. The rheological model adjusted for the clays was Herschel-Bulkley ( ( )n τ =τ c + k γ& ), where: τ is shear stress; τc is yield stress; k is a consistency term (apparent viscosity); n is flow index; and dy γ& = du is shear rate. It is also obtained, from a global quantitative analysis, evolution laws of the several rheologics parameters in function of the solid volume concentration. After the stage of rheological and physical characterization of mixing samples, dynamics experiments were made, under controlled conditions, than the flow of mud was observed in the open channel. These analyses were made in order to examine the behavior of parameters such as: normal depth, discharge and velocities. In fact, the experience showed that is possible to deduce wall friction laws from the rheological proprieties based on high mud concentrated suspensions and the dynamic of these muds.
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Marly, Arthur. "Analyse mathématique et numérique d'écoulements de fluides à seuil." Thesis, Lyon, 2018. http://www.theses.fr/2018LYSEN034/document.
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Ette thèse traite d’écoulements de fluides à seuil (ou viscoplastiques) en milieu confiné. Les difficultés analytiques et numériques sont dues à la multivaluation du tenseur des contraintes dans les zones plastiques ainsi qu’à la non-différentiabilité du problème de minimisation associé. Cette thèse s’articule en deux parties.Dans un premier temps, des simulations numériques parallèles très précises à l’aide d’algorithmes de dualité ont été effectuées. Elles ont permis de retrouver des résultats observés expérimentalement dont l’existence d’une ligne de glissement pour l’écoulement au dessus d’un obstacle et le caractère quasi-Poiseuille de la vitesse au-delà de cette ligne. Par ailleurs, la théorie de couche limite viscoplastique définie par Oldroyd (1947, à nombre de Bingham asymptotiquement grand) a été revisitée à nombre de Bingham modéré en milieu confiné. L’étude a mis en œuvre des allers-retours entre ces simulations et les expériences physiques de Luu et al. d’IRSTEA ainsi qu’une dérivation théorique. L’approximation de couche limite est vérifiée dans une certaine mesure à l’intérieur de la cavité. Une adaptation de la notion de couche limite viscoplastique est alors exhibée et permet d’étendre les scalings dérivés par Oldroyd (1947) et Balmforth et al. (J. of Fluid Mech, 2017). Ces scalings sont aussi généralisés au cas de la loi d’Herschel-Bulkley. Dans un second temps, on présente une analyse asymptotique des champs de vitesses et de contraintes pour des écoulements en faible épaisseur (ε). Un développement à l’ordre ε2 de la vitesse permet de trouver une équation de Reynolds à la même précision. Cette équation de Reynolds prolonge les résultats déjà existants dans le cadre newtonien, d’une part et dans le cadre fluide à seuil avec une surface libre, d’autre partThis thesis is devoted to the flow of yield stress (or viscoplastic) fluids in pipes.Analytical and numerical difficulties lie in the multivaluation of the stress tensor in the plastic regions and in the non-differentiability of the associated minimization problem. This manuscript is organized following two main axes.First, very accurate numerical simulations were carried out using duality methods and parallel multifrontal solvers. Thus, experimental observations were recovered, namely the existence of a slip line for the flow over an obstacle and the Poiseuille-like behaviour of the velocity above this line. Moreover, the viscoplastic boundary layer theory defined by Oldroyd (1947 at high Bingham numbers) was revisited at moderate Bingham numbers in confined areas. This study provided an opportunity to go back and forth between these simulations and the physical measures of Luu et al. from IRSTEA and to perform a theoretical derivation. The boundary layer approximation is valid up to a certain extent in the cavity. An adaptation of the viscoplastic boundary layer definition is then given and allows to generalize the scalings shown by Oldroyd (1947) and Balmforth et al. (JFM 2017). These scalings are also generalized to the Herschel-Bulkley case. Then, an asymptotic analysis of the velocity and stress fields for thin layer (ε) flows is presented. A velocity development up to ε2 lets us find a Reynolds equation of same accuracy. This Reynolds equation extends the already existing results, on the one hand in the newtonian case and on the second hand for free surface flows
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Bernabeu, Noé. "Modélisation multi-physique des écoulements viscoplastiques : application aux coulées de lave volcanique." Thesis, Université Grenoble Alpes (ComUE), 2015. http://www.theses.fr/2015GRENM001/document.
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Nous présentons une contribution autour de la modélisation des écoulements viscoplastiques. En vue d'applications réalistes telle que la simulation numérique des coulées de lave volcanique, le travail se concentre particulièrement sur les fluides complexes dont la rhéologie dépend fortement de grandeurs physiques telle que la température ou la concentration en particule. Nous développons un nouvel algorithme de résolution numérique des équations de Herschel-Bulkley combinant une méthode de Lagrangien augmenté à paramètre d'augmentation variable, une méthode des caractéristiques d'ordre 2 et une adaptation de maillage automatique. Sur des problèmes stationnaires ou en évolution tel que le problème test de la cavité entraînée, il apporte une solution efficace pour garantir à la fois une précision numérique élevée et un temps de calcul raisonnable. Cet algorithme est ensuite étendue et adapté au cas des rhéologies non-isothermes et aux suspensions. Concernant la simulation numérique des coulées de lave volcanique, nous détaillons une méthode de réduction par analyse asymptotique des équations de Herschel-Bulkley pour des écoulements de faible épaisseur sur une topographie arbitraire. Elle permet alors de décrire ces écoulements tridimensionnels de fluides viscoplastiques à surface libre par des équations bidimensionnelles surfaciques. Cette approche est ensuite étendue au cas non-isotherme en y ajoutant l'équation de la chaleur et des dépendances thermiques sur la rhéologie. Par intégration verticale de l'équation de la chaleur, on retrouve un modèle bidimensionnel. Le modèle non-isotherme est validé sur une expérience de dôme réalisée en laboratoire et une simulation numérique est réalisée autour d'une coulée qui a eu lieu sur le volcan du Piton de la Fournaise à la Réunion, en décembre 2010. La comparaison donne des résultats qui sont de notre point de vue satisfaisants et encourageantsWe present a contribution about modeling of viscoplastic flows. For realistic applications such as numerical simulation of volcanic lava flows, the work focuses particularly on complex fluids whose rheology strongly depends on physical quantities such as temperature or the particle concentration. We develop a new numerical resolution algorithm of Herschel-Bulkley's equations combining an augmented Lagrangian method with variable augmentation parameter, a second order characteristic method and an auto-adaptive mesh procedure. On stationary or evolving problems as the lid-driven cavity flow benchmark, it provides an effective solution to ensure both a high numerical accuracy within a reasonable computing time. This algorithm is then extended and adapted to the case of non-isothermal rheological and suspensions. On the numerical simulation of volcanic lava flows, we describe a method of reducing by asymptotic analysis of the Herschel-Bulkley's equations for thin flows on arbitrary topography. It allows to describe the three-dimensional flows of viscoplastic fluid with free surface by bidimensional surface equations. This approach is then extended to the non-isothermal case by adding the heat equation and thermal dependencies on rheology. By vertical integration of the heat equation, a two-dimensional model is maintained . The non-isothermal model is validated on a laboratory experiment of dome and a numerical simulation is performed on a December 2010 Piton de la Fournaise lava flow from La Réunion island. In our view, the comparison gives satisfactory and encouraging results
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Luu, Trung Kien. "Approche par changement d'échelle des caractéristiques rhéologiques d'une suspension de particules dans un fluide à seuil." Phd thesis, Ecole des Ponts ParisTech, 2009. http://pastel.archives-ouvertes.fr/pastel-00005508.
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Dubois, Assia. "Ecoulements à surface libre de fluides à seuil : rhéométrie et validation des caractéristiques hydrauliques dans un canal à fond mobile. Application aux laves torrentielles." Phd thesis, Université de Grenoble, 2011. http://tel.archives-ouvertes.fr/tel-00721734.
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Cette thèse présente une étude expérimentale visant à caractériser les propriétés hydrauliquesd'écoulements à surface libre de fluides complexes: fluides viscoplastiques et mélangesfluides viscoplastiques-grains. Ce travail est motivé par la nécessité d'améliorer lesconnaissances sur les propriétés des écoulements de laves torrentielles, dans un contexte deprotection contre les risques naturels en montagne. Nous avons développé un dispositif delaboratoire original, un canal à fond mobile, permettant de générer des coulées gravitaires quisont globalement stationnaires dans le référentiel du laboratoire. Les coulées présentent unfront très raide, suivi à l'amont d'une zone d'épaisseur uniforme. Les fluides viscoplastiquesutilisés (carbopol et kaolin) ont été choisis de manière à modéliser la matrice des couléesboueuses naturelles en prenant en compte les critères de similitude adaptés. Ces fluidessuivent une loi de comportement de Herschel-Bulkley, et leurs propriétés rhéologiques ont étédéterminées au moyen d'un rhéomètre de laboratoire en accordant un soin particulier àl'établissement des incertitudes associées. Nous présentons des mesures précises de l'évolutionde l'épaisseur des coulées dans la zone uniforme en fonction de la vitesse du fond du canal etde la pente. Ces résultats sont comparés à des prédictions théoriques correspondant à unécoulement permanent et uniforme d'un fluide de Herschel-Bulkley, et nous montrons quel'accord est satisfaisant moyennant les incertitudes sur les mesures rhéologiques. Nous avonségalement analysé la forme du front des coulées et, là-aussi, l'accord avec des modèleshydrauliques (modèles de type Saint-Venant) est bon. Ces deux études permettent de validerles prédictions hydrauliques obtenues à partir de lois de comportement mesurées aurhéomètre. Enfin, dans une dernière partie, nous présentons une étude préliminaire de ladynamique de particules rigides isolées placées au sein de la coulée, en nous intéressant auxvitesses longitudinales et aux vitesses de chute pour différentes tailles et différentes densitésde particules.
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Přikryl, Matěj. "Hydrodynamické tlumiče na principu magnetické kapaliny." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2017. http://www.nusl.cz/ntk/nusl-318383.
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This diploma thesis covers the topic of magnetic fluids and their utilisation in hydrodynamic dampers. The first part of the work consists of research on the current state of technology in hydraulic dampers with the focus on dampers using magnetorhelogical fluid. This chapter is followed by research on magnetic fluids with regard to their physical properties and mathematical description, which is used for CFD simulation of flow. The second part deals with the computational simulation of the flow of MR liquid in real MR damper in order to determine the damping characteristic and it's comparison with the experimental data.
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Kuckuck, Jeffrey W. "A Stranger in the Land?: Reassessing the Political Writings of Gershom Bulkeley." W&M ScholarWorks, 2008. https://scholarworks.wm.edu/etd/1539626559.
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Schorr, Stephanie. "Replication of Bulky DNA Adducts." Diss., lmu, 2010. http://nbn-resolving.de/urn:nbn:de:bvb:19-125267.
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Prabagar, Jasotha. "Synthesis of bulky phosphine ligands." Thesis, University of Oxford, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.437012.
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Twombley, Jeremy C. "A reevaluation of competing doctrines of saving faith during the Antinomian Controversy in light of Calvin's theology." Theological Research Exchange Network (TREN), 2006. http://www.tren.com/search.cfm?p004-0126.
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Jones, Claire Frances. "Lanthanide complexes of bulky hybrid ligands." Thesis, University of Newcastle upon Tyne, 2017. http://hdl.handle.net/10443/4009.
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The synthetic and redox chemistry of lanthanide organometallic complexes has considerably expanded since the discovery of Kagan’s reagent in 1977 and divalent ionic complexes are now known for the entire lanthanide series. The synthesis, solid-state structures and reductive chemistry of trivalent and divalent lanthanide complexes with cyclopentadienyl-type ligands is reviewed with a focus on the impact of the ligand on the reducing power of the metal centre. Trimethylsilyl and more recently, phosphine-borane stabilised carbanions have facilitated the isolation of trivalent and divalent lanthanide complexes of alkyl ligands with Ln—C σ-bonds. The synthesis, structures and known reactivity of these compounds is discussed. In order to probe the impact of alkyl carbanion and cyclopentadienyl coordination on lanthanide complex stability, structure and redox reactivity we have designed a novel set of hybrid ligands that combine these two functional groups into a single dianionic ligand. These ligands are potentially very versatile as the sterics and electronics of both groups in the ligand can be modified. The ligands are viable to support sterically congested trivalent complexes for sterically induced reduction as well as metal based reduction and they are good ligands for heteroleptic complexes because they chelate the metal avoiding ligand redistribution equilibria. The synthesis and characterisation of a range of trimethylsilyl-, phosphine-borane- and phosphine-stabilised alkyl bromo- and chlorosilane precursors is described: (Me3Si)2CHSiMe2Br [4], (Me3Si){PMe2(BH3)}CHSiMe2Cl [9], (Me3Si){PnPr2(BH3)}CHSiMe2Cl [13], {PMe2(BH3)}2CHSiMe2Cl [23], {PMe2(BH3)}{PPh2(BH3)}CHSiMe2Cl [27], {PPh2(BH3)}2CHSiMe2Cl [31] and (nPr2P)2CHSiMe2Cl [32]. iv The results of a computational study using NBO methods to investigate the relative stabilising effect of each of these silyl, phosphine-borane and phosphine carbanion stabilising groups on a model system akin to the alkyl part of the hybrid ligand are described. Reaction of (Me3Si)2CHSiMe2Br with Li/Na/K Cp/Cp’/Cp4Me followed by aqueous work-up gave the hybrid proligands {(CpH)Me2Si}(Me3Si)2CH [5], {(Cp’H)Me2Si}(Me3Si)2CH [6] and {Cp4MeH)Me2Si}(Me3Si)2CH [7] as mixtures of regioisomers [Cp4Me = 1,2,3,4-Tetramethyl-cyclopentadiene]. Reaction of LiCp4Me/KCp4Me with (Me3Si){PMe2(BH3)}CHSiMe2Cl and (Me3Si){PnPr2(BH3)}CHSiMe2Cl gave the hybrid proligands (CpH4MeMe2Si)(Me3Si)CH{PMe2(BH3)} [10] and (CpH4MeMe2Si)(Me3Si)- CH{PnPr2(BH3)} [14]. The compounds {Cp4MeH)Me2Si}(Me3Si)2CH, (CpH4MeMe2Si)- (Me3Si)CH{PMe2(BH3)} and (CpH4MeMe2Si)(Me3Si)CH{PnPr2(BH3)} crystallise as solvent-free monomers with very similar molecular conformations. The hybrid pro-ligands exhibit variable moisture sensitivity. Reaction of (Me3Si){PMe2(BH3)}CHSiMe2Cl with NaCp followed by aqueous work-up and column chromatography of the oily residue obtained gave the siloxane [(Me3Si){PMe2(BH3)}HCMe2Si]2O [19] and dicyclopentadiene. Reaction of (nPr2P)2CHSiMe2Cl with NaCp followed by aqueous work-up using deoxygenated water gave (nPr2P)2CH2 in quantitative yield. The same reaction avoiding the aqueous work-up gave (CpHMe2Si)CH(PnPr2)2 [33]. Hybrid ligands were prepared by metalation of {Cp4MeH)Me2Si}(Me3Si)2CH, {(Cp’H)Me2Si}(Me3Si)2CH and {(CpH)Me2Si}(Me3Si)2CH with MeK to give the hemisolvated dipotassium salts [(CpMe2Si)(Me3Si)2C]K2(Et2O)0.5 [50], [(Cp4MeMe2Si)(Me3Si)2C]K2(Et2O)0.5 [51] and [(Cp’Me2Si)(Me3Si)2C]K2(C6H6)0.5 [52], which decomposed slowly in THF and toluene. [(Cp4MeMe2Si)(Me3Si)2C]K2(Et2O) [51.Et2O] was crystallised as an alternative solvate from diethyl ether and the v extended structure consists of chelated [(hybrid ligand)K(Et2O)]- anionic units linked nose to tail by unsolvated K cations in a non-linear (zig-zag) polymer chain. [(Cp’Me2Si)(Me3Si)2C]K2(C6H6)·C6H6 [52.C6H6] also crystallised as a monosolvate from benzene, but with addition uncoordinated solvent present in the structure. There are two distinct types of polymer chain in the structure of [(Cp’Me2Si)(Me3Si)2C]K2(C6H6)·C6H6, one is similar to the chain in [(Cp4MeMe2Si)(Me3Si)2C]K2(Et2O) and in the other half the potassium cations in this chain are coordinated by only a cyclopentadienyl ring and a benzene ring. The remainder of the K cations are sandwiched between a carbanion and cyclopentadienyl ring of different hybrid ligands, as in [(Cp4MeMe2Si)(Me3Si)2C]K2(Et2O). These chains are cross-linked by a short contact between K and the –SiMe3 substituent of the Cp’ ring. Due to their more acidic alkyl protons metalation of (CpH4MeMe2Si)(Me3Si)CH{PMe2(BH3)}, (CpH4MeMe2Si)(Me3Si)CH{PnPr2(BH3)} and (CpHMe2Si)CH(PnPr2)2 could be achieved with BnK in THF. (CpH4MeMe2Si)(Me3Si)CH{PMe2(BH3)} is isoelectronic and isosteric with {Cp4MeH)Me2Si}(Me3Si)2CH. [(Cp4MeMe2Si)(Me3Si){PMe2(BH3)}C]K2(THF) [53.THF] crystallises as a solvate from benzene/THF with a 3D polymeric network structure through multiple agostic-type B—H····K contacts. Of the two symmetry inequivalent K cations in the structure the alkyl carbanion interacts directly only with the unsolvated cations and the solvated cations are coordinated through the borane-hydrogens. Metathesis reactions of [(Cp4MeMe2Si)(Me3Si)2C]K2(Et2O)0.5 and [(Cp4MeMe2Si)(Me3Si){PMe2(BH3)}C]K2(THF)0.5 with LaI3(THF) and SmI3(THF) in THF gave [(Cp4MeMe2Si)(Me3Si)2C]LaI(THF)2 [56] and [(Cp4MeMe2Si)(Me3Si){PMe2(BH3)}C]-SmI(THF)2 [57] after extraction into diethyl ether and crystallisation from toluene/THF and diethyl ether respectively. The vi hybrid ligand bound successfully to the lanthanide metal cations. [(Cp4MeMe2Si)(Me3Si)2C]LaI(THF)2 is a monomer in the solid-state, chelated by the hybrid ligand forming pseudo-four-membered ring and two coordinating molecules of THF in addition to the iodine anion. A zwitterion structure is adopted by [(Cp4MeMe2Si)(Me3Si){PMe2(BH3)}C]SmI(THF)3 with no contact between the Sm(III) cation and the alkyl carbanion centre. The hybrid ligands have a much larger cone angle and are far more sterically bulky when chelating the lanthanide metal, as in [(Cp4MeMe2Si)(Me3Si)2C]LaI(THF)2. The metathesis reaction of [(Cp4MeMe2Si)(Me3Si)2C]K2(Et2O)0.5 with CaI2 gave [(Cp4MeMe2Si)(Me3Si){PMe2(BH3)}C]Ca(THF)2 [58] after extraction and crystallisation from diethyl ether. In this structure the phosphine-borane stabilised carbanion group of the hybrid ligand coordinates the Ca cation through the carbanion centre. Synthesis of the Yb(II) analogue, [(Cp4MeMe2Si)(Me3Si){PMe2(BH3)}C]Yb(THF)x gave an almost identical NMR spectrum, but could not be crystallised.
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Schorr, Stephanie [Verfasser]. "Replication of Bulky DNA Adducts / Stephanie Schorr." München : Verlag Dr. Hut, 2010. http://d-nb.info/100997274X/34.
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Frew, Jamie J. R. "Novel bulky fluorinated ligands for homogeneous catalysis." Thesis, University of St Andrews, 2008. http://hdl.handle.net/10023/852.
Full textAbstract:
A series of novel monodentate and bidentate phosphine ligands substituted with bulky tert-butyl and fluorinated aryl groups have been synthesised. Borane protection has proved to be an excellent method for easy synthesis and purification of bidentate ligands in some cases. However, several of the bulky fluorinated ligands do not form stable borane complexes leading to complications in the synthesis and purification of these compounds. By reaction with transition metal platinum and palladium precursors, it was possible to form dichloride complexes from the synthesised ligands, which were characterised by X-ray crystallography. The complexes were found to be effective catalysts for the hydroxycarbonylation of vinyl arenes (yields of up to 95 % with 3 mol% catalyst). An unsymmetrical bidentate complex (3.18) in combination with paratoluenesulfonic acid and LiCl promoters has given exceptional (for a diphosphine ligand) regioselectivity for the branched acid (98.7 % branched) in the hydroxycarbonylation of styrene. The role of the promoters has been found to be crucial in deciding the activity and selectivity in this reaction.
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Söezerli, Sebnem Esen. "Organometallic compounds with bulky silyl-substituted ligands." Thesis, University of Sussex, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.388678.
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Slot, Saskia Carolien van der. "Rhodium-catalysed hydroformylation using bulky phosphorus diamide ligands." [S.l : Amsterdam : s.n.] ; Universiteit van Amsterdam [Host], 2001. http://dare.uva.nl/document/60662.
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Graham, A. "Binuclear and polynuclear metal complexes with bulky ligands." Thesis, University of Edinburgh, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.651687.
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This thesis presents routes to transition metal complexes of pyridonate and carboxylate ligands. Low nuclearity complexes with triphenyl acetate and 1st row transition metals of the formula [M4(OMe)4(O2CCPh3)4(MeOH)4] (M = Co, Ni or Zn) have been synthesised and mark a change from reactions with other carboxylates which produce linear trinuclear complexes. Molecular modelling studies investigate the close contacts that arise if triphenyl acetate is incorporated into a linear trinuclear compound to establish whether steric interactions are controlling reactivity. High nuclearity complexes with cobalt and nickel have been, made, many of which extend the range of complexes in which the metal atoms form a centred tricapped trigonal prism. These complexes all contain [M10(OH)6(O2CCPh3)6(xhp)6]2+ (xhp = a pyridone anion substituted at the six position) core with metal atoms capping the triangular faces of the centred prism. A variant on previous trapped trigonal prisms is also presented, in which the cap metal atoms cap the prism edges. In other complexes the metal atoms form new topologies, ranging from hexa- to octanuclear. In some complexes sodium atoms are also incorporated into the polynuclear cages. Reaction conditions for formation of these cages was investigated. Variation of the metal salt from chloride to nitrate influences both the yield of high nuclearity complexes and the timescale over which they are formed. The choice of recrystallisation solvent affects the cage formed. For example. hexanuclear and heterometallic octanuclear cobalt complexes follow identical syntheses except for the recrystallisation solvent. The means by which counterion and recrystallisation solvent influence reactivity is unclear.
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Graham, Alasdair. "Dinuclear and polynuclear metal complexes with bulky ligands." Thesis, University of Edinburgh, 2001. http://hdl.handle.net/1842/12051.
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Goodwin, Conrad. "Synthesis and properties of early metal bulky silylamide complexes." Thesis, University of Manchester, 2017. https://www.research.manchester.ac.uk/portal/en/theses/synthesis-and-properties-of-early-metal-bulky-silylamide-complexes(72b303fb-67c2-4749-a1fc-ada1f677a844).html.
Full textAbstract:
Silylamide ligands have been used throughout the Periodic Table since the 1960s. They have delivered landmark complexes by providing the first three co-ordinate f-element complexes, the first trigonal planar f-element complexes and the first near-linear f-element complexes. This area is reviewed in Chapter 2.Herein, this work presents the first uses of several novel bis-silylamide ligands developed at Manchester which take the form {N(SiR3)2} where R = Me, iPr or tBu to afford four novel ligands: N ʹ, {N(SiMe3)(SiiPr3)}; N**, {N(SitBuMe2)2}; N* {N(SitBuMe2)(SiiPr3)}; and N , {N(SiiPr3)2}. Group 1 and 2 complexes of all of these ligands are presented along with the previously reported N*ʹ [N*ʹ = {N(SitBuMe2)(SiMe3)}]; which show variable bonding motifs based on the steric bulk. The N** and N ligands have formed the bulk of the work presented and were used to stabilise the first trigonal planar actinide complex [U(N**)3], as well as the first near-linear Ln(II) (Ln = lanthanide) complexes [Ln(N )2] (Ln = Sm, Eu, Yb, Tm). Additionally the trigonal planar Ln(II) complexes [K(2.2.2-cryptand)][Ln(N**)3] (Ln = Sm, Eu, Yb, Tm) have also been synthesised to compare the physicochemical properties of trigonal planar and near-linear geometries on the same elements with similar ligands.
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Blom, Burgert. "Bulky cyclopentadienyl chromium complexes as ethene trimerisation catalyst precursors." Master's thesis, University of Cape Town, 2004. http://hdl.handle.net/11427/22101.
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The process of ethene trimerisation to 1-hexene, has recently attracted considerable interest, in light of the usefulness of 1-hexene industrially. In this project the process of catalytic ethene trimerisation, using bulky cyclopentad ienyl chromium complexes was investigated. Firstly, a series of known and novel bulky cyclopentadiene ligands, of the type, C₅Ph₄RH (R = H, alkyl, aromatic or substituted aromatic group) were synthesised. Four routes were investigated. (i) Making use of an in situ generated bis-lithium intermediate, resulting in the formation of 1 ,2,3,4,5-pentaphenyl cyclopenta-1 ,3-diene and 1 ,2,3,4-tetraphenylcyclopenta-1 ,3-diene. (ii) The attempted use of a metallation I alkylation route which was unsuccessful. (iii) The use of tetracyclone as starting material, reacted with alkyl likthium reagents, or alkyl Grignard reagents which resulted in the formation of ligands, of the type C₅Ph₄R, with R in the 5 position of the ring (R = n-butyl, tertbutyl, hexyl). Unexpected side reactions afforded the isolation of two ligands of the type C₅Ph₄R, R = 1-propeneyl and ethyl, both with the terminal alkene function, saturated. (iv) The use of a Pd catalysed route, making use of Cp₂ZrCI₂ as source of cyclopentadiene, resulted in the successful isolation of the cyclopentadiene, C₅Ar₅H (Ar = C₆Me₂H₃). All new compounds were successfully characterised using NMR, IR, MS and elemental analysis. A stable Fe(II) model complex, bis-tetraphenylcyclopentadienyl iron, was prepared and cyclic voltametry conducted on it, to investigate the effect of phenyl substituents on a Cp ligand in the reduction I oxidation potential of the iron(II) centre. This study showed that phenyl rings on a cyclopentadiene ligand have a significant effect on the redox potential of Fe(II); this trend could possibly be expected with other metals, in particular chromium .