Relevant bibliographies by topics / Generalized Newtonian fluids

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Generalized Newtonian fluids'

Author: Grafiati
Published: 4 June 2021
Last updated: 15 February 2022

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Journal articles on the topic "Generalized Newtonian fluids"

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Málek, J., and K. R. Rajagopal. "Compressible generalized Newtonian fluids." Zeitschrift für angewandte Mathematik und Physik 61, no. 6 (March 2, 2010): 1097–110. http://dx.doi.org/10.1007/s00033-010-0061-8.

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Gagnon, D. A., and P. E. Arratia. "The cost of swimming in generalized Newtonian fluids: experiments with C. elegans." Journal of Fluid Mechanics 800 (July 14, 2016): 753–65. http://dx.doi.org/10.1017/jfm.2016.420.

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Numerous natural processes are contingent on microorganisms’ ability to swim through fluids with non-Newtonian rheology. Here, we use the model organism Caenorhabditis elegans and tracking methods to experimentally investigate the dynamics of undulatory swimming in shear-thinning fluids. Theory and simulation have proposed that the cost of swimming, or mechanical power, should be lower in a shear-thinning fluid compared to a Newtonian fluid of the same zero-shear viscosity. We aim to provide an experimental investigation into the cost of swimming in a shear-thinning fluid from (i) an estimate of the mechanical power of the swimmer and (ii) the viscous dissipation rate of the flow field, which should yield equivalent results for a self-propelled low Reynolds number swimmer. We find the cost of swimming in shear-thinning fluids is less than or equal to the cost of swimming in Newtonian fluids of the same zero-shear viscosity; furthermore, the cost of swimming in shear-thinning fluids scales with a fluid’s effective viscosity and can be predicted using fluid rheology and simple swimming kinematics. Our results agree reasonably well with previous theoretical predictions and provide a framework for understanding the cost of swimming in generalized Newtonian fluids.
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Frehse, Jens, and Michael Růžička. "Non-homogeneous generalized Newtonian fluids." Mathematische Zeitschrift 260, no. 2 (November 21, 2007): 355–75. http://dx.doi.org/10.1007/s00209-007-0278-1.

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Jamil, Muhammad. "First Problem of Stokes for Generalized Burgers' Fluids." ISRN Mathematical Physics 2012 (March 4, 2012): 1–17. http://dx.doi.org/10.5402/2012/831063.

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The velocity field and the adequate shear stress corresponding to the first problem of Stokes for generalized Burgers’ fluids are determined in simple forms by means of integral transforms. The solutions that have been obtained, presented as a sum of steady and transient solutions, satisfy all imposed initial and boundary conditions. They can be easily reduced to the similar solutions for Burgers, Oldroyd-B, Maxwell, and second-grade and Newtonian fluids. Furthermore, as a check of our calculi, for small values of the corresponding material parameters, their diagrams are almost identical to those corresponding to the known solutions for Newtonian and Oldroyd-B fluids. Finally, the influence of the rheological parameters on the fluid motions, as well as a comparison between models, is graphically illustrated. The non-Newtonian effects disappear in time, and the required time to reach steady-state is the lowest for Newtonian fluids.
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Tseng, Huan-Chang. "A revisitation of generalized Newtonian fluids." Journal of Rheology 64, no. 3 (May 2020): 493–504. http://dx.doi.org/10.1122/1.5139198.

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Nägele, Philipp, and Michael Růžička. "Generalized Newtonian fluids in moving domains." Journal of Differential Equations 264, no. 2 (January 2018): 835–66. http://dx.doi.org/10.1016/j.jde.2017.09.022.

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Diening, Lars, and Michael Růžička. "Strong Solutions for Generalized Newtonian Fluids." Journal of Mathematical Fluid Mechanics 7, no. 3 (June 14, 2005): 413–50. http://dx.doi.org/10.1007/s00021-004-0124-8.

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Repin, S. I. "Estimates of Deviations for Generalized Newtonian Fluids." Journal of Mathematical Sciences 123, no. 6 (October 2004): 4621–36. http://dx.doi.org/10.1023/b:joth.0000041479.59584.10.

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Arada, Nadir. "On Generalized Newtonian Fluids in Curved Pipes." SIAM Journal on Mathematical Analysis 48, no. 2 (January 2016): 1210–49. http://dx.doi.org/10.1137/140964709.

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Apushkinskaya, Darya, Michael Bildhauer, and Martin Fuchs. "Steady States of Anisotropic Generalized Newtonian Fluids." Journal of Mathematical Fluid Mechanics 7, no. 2 (May 2005): 261–97. http://dx.doi.org/10.1007/s00021-004-0118-6.

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Dissertations / Theses on the topic "Generalized Newtonian fluids"

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Childs, Laura Helen. "Low Reynolds number flows of generalized non-Newtonian fluids." Thesis, University of Bristol, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.633090.

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A Newtonian fluid is one for which the stress induced by flow is proportional to the strain rate, with the constant of proportionality being the fluid's viscosity. Fluids not adhering to this linear relationship are described as non-Newtonian. This thesis considers several problems involving flows of generalized non-Newtonian fluids - where the effective viscosity is a nonlinear function of the strain rate - experiencing negligible inertial effects. First, we consider the flow of a power-law fluid through a rectangular duct. We propose a numerical method of solution, reliant on expressing the governing equations in terms of the stress tensor components, rather than the velocity field. This results in an effective method of determining the flux of fluid through a cross-section of a duct. The calculation is extended to duct flows of regularized Herschel-Bulkley fluids, and the determination of the critical yield stress below which there is no flow. We then consider free-surface dam-break flows of power-law fluids. By utilizing a similarity scaling for the front position of the flow with time, the flux calculation of the preceding work, and laboratory experiments, we propose a method of determining the rheological parameters of a power-law fluid. The settling velocity of a spherical particle through a power-law fluid is next examined. For particles settling within a background shear flow, the settling velocity is found to have two distinct dependencies on the dimensionless flow parameters, corresponding to regimes of dominant background shear or gravitational settling. Finally, we consider the effect that a modified sedimentation law, based upon the results of the settling calculation, has on shear flows of dilute particulate suspensions. The method of characteristics is applied to investigate the sedimentation law's impact on properties such as the concentration profile, and run-out length, of a sustained intrusion of particles suspended in a power-law fluid.
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Götz, Dario [Verfasser]. "Three topics in fluid dynamics: Viscoelastic, generalized Newtonian, and compressible fluids / Dario Götz." München : Verlag Dr. Hut, 2012. http://d-nb.info/1029400113/34.

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Boukanga, Noel Rupert Thierry. "Three dimensional modelling of generalized Newtonian fluids in domains including obstructions." Thesis, Loughborough University, 2010. https://dspace.lboro.ac.uk/2134/6936.

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Three dimensional flow regimes are encountered in many types of industrial flow processes such as filtration, mixing, reaction engineering, polymerization and polymer forming as well as environmental systems. Thus, the analyses of phenomena involved fluid flow are of great importance and have been subject of numerous ongoing research projects. The analysis of these important phenomena can be conducted in laboratory through experiments or simply by using the emerging computational fluid dynamics (CFD) techniques. But when dealing with three dimensional fluid flow problems, the complexities encountered make the analysis via the traditional experimental techniques a daunting task. For this reason, researchers often prefer to use the CFD techniques which with some care taken, often produce accurate and stable results while maintaining cost as low as possible. Many CFD codes have been developed and tested in the past decades and the results have been successful and thus encouraging researchers to develop new codes and/or improve existing codes for the solutions of real world problems. In this present project, CFD techniques are used to simulate the fluid flow phenomena of interest by solving the flow governing equations numerically through the use of a personal computer. The aim of this present research is to develop a robust and reliable technique which includes a novel aspect for the solution of three dimensional generalized Newtonian fluids in domains including obstructions, and this must be done bearing in mind that both accuracy and cost efficiency have to be achieved. To this end, the finite element method (FEM) is chosen as the CFD computational method. There are many existing FEM techniques namely the streamline upwind Petrov-Galerkin methods, the streamline diffusion methods, the Taylor-Galerkin methods, among others. But after a thorough analysis of the physical conditions (geometries, governing equations, boundary conditions, assumptions …) of the fluid flow problems to be solve in this project, the appropriate scheme chosen is the UVWP family of the mixed finite element methods. It is scheme originally developed to solve two dimensional fluid flow problems but since the scheme produced accurate and stable results for two dimensional problems, then attempt is made in this present study to develop a new version of the UVWP scheme for the numerical analysis of three dimensional fluid flow problems. But, after some initial results obtained using the developed three dimensional scheme, investigations were made during the course of this study on how to speed up solutions' convergence without affecting the cost efficiency of the scheme. The outcomes of these investigations yield to the development of a novel scheme named the modified three dimensional UVWP scheme. Thus a computer model based on these two numerical schemes (UVWP and the Modified UVWP) is developed, tested, and validated through some benchmark problems, and then the model is used to solve some complicated tests problems in this study. Results obtained are accurate, and stable, moreover, the cost efficiency of the computer model must be mentioned because all the simulations carried out are done using a simple personal computer.
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Ramos, Anilzabel Costa dos. "Modelos unidimensionais para fluidos Newtonianos e Newtonianos generalizados." Master's thesis, Universidade de Évora, 2021. http://hdl.handle.net/10174/29820.

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Este trabalho de dissertação tem como objectivo o desenvolvimento e estudo de modelos unidimensionais para o escoamento de um fluido com base na teoria de Cosserat, também conhecida pela teoria dos directores. A base desta teoria relativa `a dinâmica dos fluidos ´e semelhante `a que se usa no estudo de vigas em Mecânica dos Sólidos, ver por exemplo os trabalhos [4, 5]. Um modelo tridimensional associado ao escoamento de fluido Newtoniano, ou uma sua generalização onde a viscosidade depende da taxa de cisalhamento, tal dependência do tipo lei de potência, ´e um modelo complexo para estudar em termos de optimização computacional, o que em muitas situações relevantes torna-se inviável. Para simplificar o modelo tridimensional e como alternativa aos modelos clássicos unidimensionais, usaremos a teoria de Cosserat relacionada com a dinâmica dos fluidos para aproximar o campo de velocidades e assim obter um sistema unidimensional constituído por uma equação diferencial ordinária ou parcial, dependendo apenas do tempo e de uma única variável de espaço. A partir deste sistema de redução, obtemos uma equação para o gradiente de pressão média dependendo do caudal volumétrico, número de Womersley e do ´ındice de fluxo no caso de um fluido Newtoniano generalizado, sobre uma secção finita da geometria do domínio em estudo. No nosso trabalho a geometria em estudo vai ser um tubo de secção circular com raio constante e não constante ao longo do escoamento simétrico relativo ao eixo de simetria. A atenção é focada em algumas simulações numéricas para gradiente de pressão média constante e não constante usando um método Runge-Kutta e na análise de fluxos perturbados. Em particular, para certos dados específicos, podemos obter informações sobre o caudal volumétrico e, consequentemente, podemos ilustrar o campo de velocidade tridimensional na secção transversal circular do tubo. Além disso, comparamos a solução exata tridimensional estacionária com a solução unidimensional correspondente obtida pela teoria de Cosserat. Este trabalho de dissertação tem por base os trabalhos [1, 2, 3]; Abstract: One-dimensional Models for Newtonian and Generalized Newtonian Fluids This dissertation work aims to develop and study one-dimensional models for the flow of a fluid based on the Cosserat theory, also known by the theory of directors. The basis of this theory on fluid dynamics is similar to that used in the study of beams in Solid Mechanics, see for example the works [4, 5]. A three-dimensional model associated with the flow of Newtonian fluid, or a generalization where viscosity depends on the shear rate, such dependence on the power law type, is a complex model to study in terms of computational optimization, which in many relevant situations becomes if not viable. To simplify the three-dimensional model and as an alternative to classic one-dimensional models, we will use the Cosserat theory related to fluid dynamics to approximate the velocity field and thus obtain a one-dimensional system consisting of an ordinary or partial differential equation, depending only on time and of a single space variable. From this reduction system, we obtain an equation for the average pressure gradient depending on the volumetric flow, Womersley number and the flow index in the case of a generalized Newtonian fluid, over a finite section of the geometry of the domain under study. In our work the geometry under study will be a tube of circular section with constant and non-constant radius along the symmetrical flow relative to the axis of symmetry. Attention is focused on some numerical simulations for constant and non-constant mean pressure gradient using a Runge-Kutta method and on the analysis of disturbed flows. In particular, for certain specific data, we can obtain information on the volumetric flow and, consequently, we can illustrate the three-dimensional velocity field in the circular cross section of the tube. In addition, we compared the exact stationary three-dimensional solution with the corresponding onedimensional solution obtained by Cosserat’s theory. This dissertation work is based on the works [1, 2, 3].
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Sauer, Martin [Verfasser]. "Existence and Uniqueness Results for Randomly Forced Generalized Newtonian Fluids / Martin Sauer." München : Verlag Dr. Hut, 2013. http://d-nb.info/1034003283/34.

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Shu, Yupeng. "Numerical Solutions of Generalized Burgers' Equations for Some Incompressible Non-Newtonian Fluids." ScholarWorks@UNO, 2015. http://scholarworks.uno.edu/td/2051.

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The author presents some generalized Burgers' equations for incompressible and isothermal flow of viscous non-Newtonian fluids based on the Cross model, the Carreau model, and the Power-Law model and some simple assumptions on the flows. The author numerically solves the traveling wave equations for the Cross model, the Carreau model, the Power-Law model by using industrial data. The author proves existence and uniqueness of solutions to the traveling wave equations of each of the three models. The author also provides numerical estimates of the shock thickness as well as maximum strain $\varepsilon_{11}$ for each of the fluids.
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Bohra, Lalit Kumar. "Flow and Pressure Drop of Highly Viscous Fluids in Small Aperture Orifices." Thesis, Georgia Institute of Technology, 2004. http://hdl.handle.net/1853/7269.

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A study of the pressure drop characteristics of the flow of highly viscous fluids through small diameter orifices was conducted to obtain a better understanding of hydraulic fluid flow loops in vehicles. Pressure drops were measured for each of nine orifices, including orifices of nominal diameter 0.5, 1 and 3 mm, and three thicknesses (nominally 1, 2 and 3 mm), and over a wide range of flow rates (2.86x10sup-7/sup Q 3.33x10sup-4/sup msup3/sup/s). The fluid under consideration exhibits steep dependence of the properties (changes of several orders of magnitude) as a function of temperature and pressure, and is also non-Newtonian at the lower temperatures. The data were non-dimensionalized to obtain Euler numbers and Reynolds numbers using non-Newtonian treatment. It was found that at small values of Reynolds numbers, an increase in aspect ratio (length/diameter ratio of the orifice) causes an increase in Euler number. It was also found that at extremely low Reynolds numbers, the Euler number was very strongly influenced by the Reynolds number, while the dependence becomes weaker as the Reynolds number increases toward the turbulent regime, and the Euler number tends to assume a constant value determined by the aspect ratio and the diameter ratio. A two-region (based on Reynolds number) model was developed to predict Euler number as a function of diameter ratio, aspect ratio, viscosity ratio and generalized Reynolds number. This model also includes data at higher temperatures (20 and le; T and le; 50supo/supC) obtained by Mincks (2002). It was shown that for such highly viscous fluids with non-Newtonian behavior at some conditions, accounting for the shear rate through the generalized Reynolds number resulted in a considerable improvement in the predictive capabilities of the model. Over the laminar, transition and turbulent regions, the model predicts 86% of the data within and plusmn25% for 0.32 l/d (orifice thickness/diameter ratio) 5.72, 0.023 and beta; (orifice/pipe diameter ratio) 0.137, 0.09 Resubge/sub 9677, and 0.0194 and mu;subge/sub 9.589 (kg/m-s)
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Boujena, Soumaya. "Etude d'une classe de fluides non newtoniens : les fluides newtoniens generalises." Paris 6, 1986. http://www.theses.fr/1986PA066339.

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On s'interesse a deux classes de fluides non newtoniens (la viscosite etant fonction de la vitesse). Theoremes d'existence et d'unicite pour le cas d'evolution et le cas stationnaire dans des domaines bornes bi et tridimensionnels. On etudie le comportement a l'infini (en temps) et la regularite des solutions. Etude des problemes stationnaires dans des domaines non bornes. Resultats pour des fluides non newtoniens a seuil
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MAGNO, Rui Nelson Otoni. "Aplicação da transformada integral generalizada em mancais radiais operando com fluidos não-newtonianos tipo lei da potência." Universidade Federal do Pará, 2016. http://repositorio.ufpa.br/jspui/handle/2011/7598.

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CNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
Neste trabalho é estudada a lubrificação hidrodinâmica de mancais radiais completos lubrificados com fluidos não newtonianos que obedecem a lei da potência. A formulação do problema é obtida a partir das equações gerais do movimento, após serem assumidas algumas hipóteses simplificadoras inerentes ao tipo de problema. O método da perturbação regular é aplicado nas equações governantes para determinação dos perfis de velocidade e em seguida à equação de Reynolds generalizada para fluidos não-newtonianos. Soluções para os casos limites foram obtidas analiticamente. Em seguida, a equação de Reynolds generalizada, na forma completa, é resolvida via Técnica da Transformada Integral Generalizada. Para o cálculo das formulações foram desenvolvidos códigos computacionais em linguagem FORTRAN 90/95 onde se utilizou a sub-rotina DBVPFD da biblioteca IMSL (2014). Os resultados para os parâmetros de desempenho operacional tais como o campo de pressão, a carga suportada, número de Sommerfeld, ângulo de ação, o coeficiente de atrito e escoamento lateral foram estabelecidos, e apresentaram excelente concordância quando comparados com resultados disponíveis na literatura, para diferentes excentricidades específicas, razões de aspectos e índices “n” para fluidos que obedecem a lei da potência. Resultados considerando três tipos de rugosidade, quais sejam, senoidal, meia onda e onda completa, também foram obtidos e apresentaram uma boa concordância com a literatura, sendo que a rugosidade tipo onda completa apresentou melhor desempenho, aumentando a pressão, a capacidade de carga, o escoamento lateral e uma diminuição no coeficiente de atrito.
This work present a study of the hydrodynamic lubrication of full journal bearings with non-Newtonian lubricants, obeying the power-law model. The formulation of the problem is obtained from the general equations of motion, after being taken over some simplifying assumptions inherent of the problem were taken. The regular perturbation method is applied on the governing equations for determining velocity profiles, and on generalized Reynolds Equation for Non-Newtonian lubricant. Solutions for borderline cases were obtained analytically. Then the generalized Reynolds equation is resolved through the Generalized Integral Transform Technique (GITT). For the calculation a computer code was developed in FORTRAN 90/95 which used the BVPFD subroutine from IMSL Library (2014). Numerical results for operational performance parameters such as pressure field, load capacity, Sommerfeld number, attitude angle, friction coefficient and axial flow rate were established and showed excellent agreement when compared with results available in the literature, for different eccentricities, aspect ratios "" and power-law index "n". Also it was studied the influence of surface texture, using sinusoidal, positive full and half wave roughness (transversal roughness). The transversal positive full wave is best for increasing the pressure, load carrying capacity and axial flow, again the results are excelente agreement with data available in the literature.
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Silva, João Batista Campos. "Técnica de transformada integral generalizada no desenvolvimento simultâneo dos perfis de velocidade e temperatura em escoamento laminar em dutos de geometria simples." Instituto Tecnológico de Aeronáutica, 1990. http://www.bd.bibl.ita.br/tde_busca/arquivo.php?codArquivo=1452.

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A técnica de transformada integral generalizada é utilizada para a obtenção de soluções analíticas do problema de convecção forçada em regime laminar, na região de entrada de dutos de geometria simples, tais como canais de placas paralelas e dutos circulares. Nessa região as camadas limites hidrodinâmica e térmica estão se desenvolvendo simultaneamente. O fluido é considerado como newtoniano e suas propriedades físicas como constantes. São utilizadas distribuições de velocidades longitudinais na forma analítica, as quais estão disponíveis na literatura e foram obtidas por métodos de linearização da equação de qualidade de movimento na direção axial. A partir da distribuição de velocidade axial obtém-se a distribuição de velocidade normal e analisa-se a influência desta velocidade sobre os parâmetros de transferência de calor: temperatura média de mistura e números de Nusselt local e médio. Analisa-se também a influência de dois perfis de velocidades diferentes sobre os resultados. Obtém-se resultados numéricos para a temperatura média de mistura e números de Nusselt local e médio considerando-se a geometria de um canal de placas planas paralelas, resolvendo-se um sistema completo de equações diferenciais ordinárias acopladas, para vários números de Prandtl. Implementam-se também, soluções aproximadas para um cálculo mais rápido dos resultados, verificando-se a precisão de tais soluções. Quando possível os resultados são comparados com resultados existentes na literatura.
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Books on the topic "Generalized Newtonian fluids"

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Fuchs, Martin, and Gregory Seregin. Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/bfb0103751.

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Breit, Dominic. Existence Theory for Generalized Newtonian Fluids. Elsevier Science & Technology Books, 2017.

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Seregin, Gregory, and Martin Fuchs. Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids (Lecture Notes in Mathematics). Springer, 2001.

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Escudier, Marcel. Basic equations of viscous-fluid flow. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0015.

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In this chapter it is shown that application of the momentum-conservation equation (Newton’s second law of motion) to an infinitesimal cube of fluid leads to Cauchy’s partial differential equations, which govern the flow of any fluid satisfying the continuum hypothesis. Any fluid flow must also satisfy the continuity equation, another partial differential equation, which is derived from the mass-conservation equation. It is shown that distortion of a flowing fluid can be split into elongational distortion and angular distortion or shear strain. For a Newtonian fluid, the normal and shear stresses in Cauchy’s equations are related to the elongational and shear-strain rates through Stokes’ constitutive equations. Substitution of these constitutive equations into Cauchy’s equations leads to the Navier-Stokes equations, which govern steady or unsteady flow of a fluid. A minor modification of the constitutive equations for a Newtonian fluid allows consideration of generalised Newtonian fluids, for which the viscosity depends upon the shear-strain rates. The boundary conditions for the tangential and normal velocity components are discussed briefly.
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Escudier, Marcel. Internal laminar flow. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0016.

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In this chapter it is shown that solutions to the Navier-Stokes equations can be derived for steady, fully developed flow of a constant-viscosity Newtonian fluid through a cylindrical duct. Such a flow is known as a Poiseuille flow. For a pipe of circular cross section, the term Hagen-Poiseuille flow is used. Solutions are also derived for shear-driven flow within the annular space between two concentric cylinders or in the space between two parallel plates when there is relative tangential movement between the wetted surfaces, termed Couette flows. The concepts of wetted perimeter and hydraulic diameter are introduced. It is shown how the viscometer equations result from the concentric-cylinder solutions. The pressure-driven flow of generalised Newtonian fluids is also discussed.
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Book chapters on the topic "Generalized Newtonian fluids"

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Irgens, Fridtjov. "Generalized Newtonian Fluids." In Rheology and Non-Newtonian Fluids, 113–24. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-01053-3_6.

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Růžička, Michael. "Analysis of Generalized Newtonian Fluids." In Lecture Notes in Mathematics, 199–238. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36297-2_4.

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Carreau, Pierre J., Daniel C. R. De Kee, and Raj P. Chhabra. "Material Functions and Generalized Newtonian Fluids." In Rheology of Polymeric Systems, 21–68. 2nd ed. München: Carl Hanser Verlag GmbH & Co. KG, 2021. http://dx.doi.org/10.3139/9781569907238.002.

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Fuchs, Martin, and Gregory Seregin. "Quasi-static fluids of generalized Newtonian type." In Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids, 131–206. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/bfb0103755.

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Diening, Lars, Andreas Prohl, and Michael Růžička. "On Time-Discretizations for Generalized Newtonian Fluids." In Nonlinear Problems in Mathematical Physics and Related Topics II, 89–118. Boston, MA: Springer US, 2002. http://dx.doi.org/10.1007/978-1-4615-0701-7_6.

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Prokop, V., and K. Kozel. "Numerical Simulation of Generalized Newtonian and Oldroyd-B Fluids." In Numerical Mathematics and Advanced Applications 2011, 579–86. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-33134-3_61.

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Bildhauer, Michael. "C. Brief comments on steady states of generalized Newtonian fluids." In Lecture Notes in Mathematics, 199–203. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-44885-3_9.

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Fuchs, Martin, and Gregory Seregin. "Fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening law." In Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids, 207–59. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/bfb0103756.

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Fuchs, Martin, and Gregory Seregin. "Weak solutions to boundary value problems in the deformation theory of perfect elastoplasticity." In Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids, 5–39. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/bfb0103753.

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Fuchs, Martin, and Gregory Seregin. "Differentiability properties of weak solutions to boundary value problems in the deformation theory of plasticity." In Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids, 40–130. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/bfb0103754.

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Conference papers on the topic "Generalized Newtonian fluids"

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Madlener, K., B. Frey, and H. K. Ciezki. "Generalized reynolds number for non-newtonian fluids." In Progress in Propulsion Physics. Les Ulis, France: EDP Sciences, 2009. http://dx.doi.org/10.1051/eucass/200901237.

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Bizhani, Majid, and Ergun Kuru. "Modeling Turbulent Flow of Non-Newtonian Fluids Using Generalized Newtonian Models." In ASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/omae2015-41427.

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Computational Fluid Dynamic (CFD) is used to model turbulent flow of non-Newtonian polymeric fluids in concentric annulus. The so called Generalized Newtonian Fluid (GNF) approach is used. Four turbulence models are tested. Applicability of each model in predicting turbulent flow of non-Newtonian fluids in annulus is assessed by comparing results of pressure loss and or velocity profiles with experimental data. The first tested model is a modified version of Lam-Bremhorst k–ε turbulence model. The modification was originally developed to model flow of power law fluids in smooth circular pipes. Results of simulation study showed that this model significantly overestimates the pressure losses. Two k–ε closure type turbulence models, one developed to model turbulent flow of Herschel-Buckley and the other for power law fluids, are shown to fail in predicting turbulent flow of polymer solutions. One of the models contains a damping function which is analyzed to show its inadequacy in damping the eddy viscosity. The last tested model is a one layer turbulence model developed for predicting turbulent flow in annular passages. The model has an adjustable parameter, which is shown to control the slope of velocity profiles in the logarithmic region. It is demonstrated that if the model constant is selected carefully, the model accurately predicts pressure loss and velocity profiles.
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Keslerová, R., K. Kozel, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Numerical Solution of Laminar Incompressible Generalized Newtonian Fluids Flow." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241547.

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Keslerová, Radka, Hynek Řezníček, and Tomáš Padělek. "Numerical simulation of generalized Newtonian fluids flow in bypass geometry." In Programs and Algorithms of Numerical Mathematics 19. Institute of Mathematics, Czech Academy of Sciences, 2019. http://dx.doi.org/10.21136/panm.2018.07.

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Keslerová, Radka, David Trdlička, and Hynek Řezníček. "Numerical modelling of steady and unsteady flows of generalized Newtonian fluids." In Programs and Algorithms of Numerical Mathematics 18. Institute of Mathematics, Czech Academy of Sciences, 2017. http://dx.doi.org/10.21136/panm.2016.07.

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Fomin, Sergei, and Toshiyuki Hashida. "Rimming Flow of Non-Newtonian Fluids." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-61443.

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The present study is related to the rimming flow of non-Newtonian fluid on the inner surface of a horizontal rotating cylinder. Using a scale analysis, the main characteristic scales and non-dimensional parameters, which describe the principal features of the process, are found. Exploiting the fact that one of the parameters is very small, an approximate asymptotic mathematical model of the process is developed and justified. For a wide range of fluids, a general constitutive law can be presented by a single function relating shear stress and shear rate that corresponds to a generalized Newtonian model. For this case, the run-off condition for rimming flow is derived. Provided the run-off condition is satisfied, the existence of a steady-state solution is proved. Within the bounds stipulated by this condition, film thickness admits a continuous solution, which corresponds to subcritical and critical flow regimes. It is proved that for the critical regime solution has a corner on the rising wall of the cylinder. In the supercritical flow regime, a discontinuous solution is possible and a hydraulic jump may occur. It is shown that straightforward leading order steady-state theory can work well to study the shock location and height. For the particular case of a power-law model, the analytical solution of steady-state equation for the fluid film thickness is found in explicit form. More complex theological models, which show linear Newtonian behavior at low shear rates with transition to power-law at moderate shear rates, are also considered. In particular, numerical computations were carried out for Ellis model. For this model, some analytical asymptotic solutions have been also obtained in explicit form and compared with the results of numerical computations. Based on these solutions, the optimal values of parameters, which should be used in the Ellis equation for correct simulation of coating flows, are determined; the criteria that guarantee the steady-state continuous solutions are defined; the size and location of the stationary hydraulic jumps, which form when the flow is in the supercritical state, are obtained for the different flow parameters.
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Hrycak, P., Rajesh N. Dave, and C. Bettadapur. "HEAT TRANSFER TO POWER-LAW NON-NEWTONIAN FLUIDS IN GENERALIZED DUCT FLOW." In International Heat Transfer Conference 9. Connecticut: Begellhouse, 1990. http://dx.doi.org/10.1615/ihtc9.2250.

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Smit, G. J. F., and M. Cloete. "Evaluation of Shear Stresses of Generalized Newtonian Fluids in Pore Scale Closure Models." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2991038.

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Keslerová, R., K. Kozel, V. Prokop, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Steady and Unsteady Numerical Solution of Generalized Newtonian Fluids Flow by Runge-Kutta method." In ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. AIP, 2010. http://dx.doi.org/10.1063/1.3497995.

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Conrad, Daniel, Andreas Schneider, and Martin Böhle. "Numerical Investigation of an Extended Propeller Viscosimeter by Means of Lattice Boltzmann Methods." In ASME 2013 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/fedsm2013-16361.

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For the design of mixing and agitation facilities in process engineering it is of central importance to appraise the correct viscosity of fluids. This can be a challenging task when non-Newtonian and/or non-homogeneous fluids need to be processed. Since it is not always possible to analyze them in the classical ways, an propeller viscosimeter approach on the basis of the Rieger-Novak-Method is used. In recent years the Lattice Boltzmann Methods (LBM) are established as an alternative approach to classical computational fluid mechanics methods. The utilization of Cartesian grids avoids the need to discretize with boundary conform meshes. This makes the LBM suitable for complex geometries like a propeller in this case. Numerical simulations were carried out using a 3D in-house Lattice Boltzmann code called SAM-Lattice with our latest extension to non-Newtonian flow. We use a truncated form of the power-law approximation to accommodate the varying flow properties in non-Newtonian simulations, where the effective viscosity is a function of the shear rate. SAM-Lattice comprises the LBM solver and a highly automated grid generator for arbitrarily complex geometries. The code is capable of multi-domain grid refinement as well as multi reference frames and rotational boundaries. The post processing is done using an extension of the open source visualization tool Paraview. We compare results of experiments and LBM simulations for the Newtonian case (Glucose) to validate our Lattice Boltzmann solver. A study of the non-Newtonian, shear thinning case (Xanthan) is conducted to validate the generalized Newtonian model. The propeller viscosimeter is currently under development as a standalone solution for viscosity measurement. For calibration purposes the Metzner-Otto-constant of the propeller device has to be determined. While the constant is valid for the laminar region the numerical results for the agitator characteristics are presented. Different levels of grid refinement are tested to assure independence of the lattice resolutions.
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