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Dissertations / Theses on the topic 'Hele-Shaw flow'

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Published: 4 June 2021

Last updated: 26 January 2023

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1

Cummings, Linda Jane. "Free boundary models in viscous flow." Thesis, University of Oxford, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.339364.

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2

Jackson, Michael. "Interfacial instability analysis of viscous flows in a Hele-Shaw channel." Thesis, Queensland University of Technology, 2021. https://eprints.qut.edu.au/212417/1/Michael_Jackson_Thesis.pdf.

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When a less viscous fluid displaces a more viscous fluid inside a quasi-two-dimensional channel, the interface separating the two fluids can become highly unstable and perturbed. By assuming that the more viscous fluid is finite in volume, this thesis uses analytical and computational methods to investigate the effect of two fluid interfaces. The results could have implication in fields such as oil extraction, geology, and advanced manufacturing.

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3

Azzopardi, Charles-Louis. "Dispositifs microfluidiques pour l’injection de fluides à travers un réseau de gouttes : application biocapteur." Thesis, Bourgogne Franche-Comté, 2018. http://www.theses.fr/2018UBFCD020/document.

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La microfluidique, domaine de recherche qui a émergé il y a juste 20 ans, a permis de réduire les dimensions des dispositifs d’analyse biologique ouvrant la porte au concept de « laboratoire-sur-puce » (lab-on-chip). Les succès de cette approche sont déjà nombreux, depuis l’analyse du génome en passant par la réduction du coût des analyses médicales. L’utilisation de gouttes comme enceinte réactionnelle au sein de ces dispositifs est une évolution récente qui permet de réduire encore le volume des échantillons biologiques et d’augmenter la vitesse d’analyse en parallélisant les mesures.Notre é

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4

Brown, Sarah Marie. "A Numerical Scheme for Mullins-Sekerka Flow in Three Space Dimensions." BYU ScholarsArchive, 2004. https://scholarsarchive.byu.edu/etd/136.

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The Mullins-Sekerka problem, also called two-sided Hele-Shaw flow, arises in modeling a binary material with two stable concentration phases. A coarsening process occurs, and large particles grow while smaller particles eventually dissolve. Single particles become spherical. This process is described by evolving harmonic functions within the two phases with the moving interface driven by the jump in the normal derivatives of the harmonic functions at the interface. The harmonic functions are continuous across the interface, taking on values equal to the mean curvature of the interface. This di

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5

ANJOS, Pedro Henrique Amorim. "Efeitos de molhamento nas instabilidades hidrodinâmicas e em forças adesivas em fluidos confinados." Universidade Federal de Pernambuco, 2015. https://repositorio.ufpe.br/handle/123456789/18074.

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Submitted by Fabio Sobreira Campos da Costa (fabio.sobreira@ufpe.br) on 2016-12-12T14:44:32Z No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) Dissertação - Pedro Henrique Amorim Anjos.pdf: 9970150 bytes, checksum: 29bca81f576fbdecd909c0ab24d68ce5 (MD5)<br>Made available in DSpace on 2016-12-12T14:44:32Z (GMT). No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) Dissertação - Pedro Henrique Amorim Anjos.pdf: 9970150 bytes, checksum: 29bca81f576fbdecd909c0ab24d68ce5 (MD5) Previous issue date: 2015-02-05<br

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6

Maes, RENAUD POL. "Etude expérimentale de la digitation visqueuse de fluides miscibles en cellule de Hele-Shaw." Doctoral thesis, Universite Libre de Bruxelles, 2010. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/216585.

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La digitation visqueuse est une instabilité hydrodynamique apparaissant lorsque, dans un milieu poreux, un fluide moins visqueux déplace un fluide plus visqueux. L'objectif de notre thèse est l'étude expérimentale des propriétés des motifs de digitation lorsque l'échantillon de fluide visqueux est de taille finie et lorsqu'une réaction chimique modifie la viscosité dans un milieu poreux modèle, en l'occurrence une cellule de Hele-Shaw. En particulier, notre étude a permis de quantifier la contribution de dispersion et de la digitation visqueuse, l'étalement dans l'espace d'échantillons de tail

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7

Beauvier, Edouard. "Propagation d'un front de réaction-diffusion dans un écoulement cellulaire multi-échelle." Thesis, Aix-Marseille, 2013. http://www.theses.fr/2013AIXM4728/document.

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La propagation d'un front de réaction-diffusion est étudiée expérimentalement dans un écoulement cellulaire multiéchelle. Le front est produit par réaction autocatalytique en solution. L'écoulement est réalisé en géométrie de Hele-Shaw par électroconvection, son caractère multiéchelle étant réalisé par l'action combinée de deux nappes d'aimants d'échelles différentes. La géométrie du front et sa vitesse moyenne de propagation sont déterminées pour une large gamme d'intensité des vortex de chaque échelle. Elles sont confortées par une simulation numérique de l'avancée du domaine brulé dans le d

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8

Morrow, Liam Christopher. "A numerical investigation of Darcy-type moving boundary problems." Thesis, Queensland University of Technology, 2020. https://eprints.qut.edu.au/204264/1/Liam_Morrow_Thesis.pdf.

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We investigate the development of interfacial instabilities and singularities that occur in solutions to Darcy-type moving boundary problems. We present a robust numerical scheme which can easily be adapted to a wide range of problems that, to date, have not yet been solved. Using this scheme, we provide insight into how perturbing the geometry of a Hele-Shaw cell can be used to control the development of interfacial patterns. Further, we consider how different physical effects influence the development of a singularity due to an air bubble contracting to a point or breaking up into multiple b

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9

Kreyenberg, Philipp Johannes [Verfasser], and Kurt [Akademischer Betreuer] Roth. "Flow Field Estimation of Active Solute Transport – Information Transfer from Synthetic Data to Hele-Shaw Cell Experiments Using Convolutional Neural Networks / Philipp Johannes Kreyenberg ; Betreuer: Kurt Roth." Heidelberg : Universitätsbibliothek Heidelberg, 2019. http://d-nb.info/1200021592/34.

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10

Burgess, Don Edward. "Topics in Hele-Shaw flows /." The Ohio State University, 1990. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487682558443754.

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11

Jonsson, Karl. "Multiple Phase Hele-Shaw Flows." Thesis, KTH, Matematik (Avd.), 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-139321.

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A one phase Hele-Shaw flow, described by a domain D(t) (t represents time) in the plane is the flow of a liquid injected at a constant rate in the separation between two narrowly separated parallel planes. This thesis deals with the formulation and proof of existence for a multiple phase Hele-Shaw flow in arbitrary dimension R^n exhibiting separation of the phases. A smooth version of the problem, depending on a small parameter epsilon, has been considered. Solutions to this smooth problem approximate the multiple-phase Hele-Shaw flow. We show that the smooth problem has a solution using a var

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12

Zhang, Fengshou. "Pattern formation in fluid injection into dense granular media." Diss., Georgia Institute of Technology, 2012. http://hdl.handle.net/1853/43716.

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Integrated theoretical and experimental analysis is carried out in this work to investigate the fundamental failure mechanisms and flow patterns involved in the process of fluid injection into dense granular media. The experimental work is conducted with aqueous glycerin solutions, utilizing a novel setup based on a Hele-Shaw cell filled with dense dry sand. The two dimensional nature of the setup allows direct visualization and imaging analysis of the real-time fluid and grain kinematics. The experimental results reveal that the fluid flow patterns show a transition from simple radial flow to

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13

Malaikah, Khalid R. "Laplacian Growth: Interfacial Evolution in a Hele-Shaw Cell." Ohio University / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1367417377.

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14

Mostefai, Mohamed Sadek. "Déduction rigoureuse de l'équation de Reynolds à partir d'un système modélisant l'écoulement à faible épaisseur d'un fluide micropolaire, et étude de deux problèmes à frontière libre : Hele-Shaw généralisé et Stephan à deux phases pour un fluide non newtonien." Saint-Etienne, 1997. http://www.theses.fr/1997STET4019.

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Dans le chapitre 1, on considère le modèle micropolaire de Navier-Stokes avec conditions de bords de type Dirichlet non homogènes en dimension deux. On donnera un résultat d'existence d'une solution faible en utilisant le théorème du point fixe de Leray-Schauder, puis on prouvera l'unicité de la solution faible du problème sous certaines hypothèses. On établiera une justification mathématique de l’équation de Reynolds généralisé à partir de ce modèle là. On étudiera ensuite la forme de l'équation de Reynolds suivant le choix de la viscosité et des données initiales. Dans le chapitre 2, nous co

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15

VARGES, PRISCILLA RIBEIRO. "LIQUID-LIQUID DISPLACEMENT FLOWS IN A HELE-SHAW CELL INCLUDING NON-NEWTONIAN EFFECTS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2010. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=16992@1.

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CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>Estudou-se neste trabalho o deslocamento de fluidos em meios porosos utilizando células de Hele-Shaw. Especificamente, investigou-se experimentalmente o deslocamento de um fluido não newtoniano por um newtoniano em uma célula retangular de Hele-Shaw. A instabilidade de Saffman-Taylor ou viscous fingering é um fenômeno observado quando um fluido de menor viscosidade desloca um de maior viscosidade, e a célula de Hele-Shaw é uma ferramenta conveniente para a sua observação. Esse fenômeno é muito importante em diversas aplicações, c

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16

AZEVEDO, PATRICIA EMIDIO DE. "LIQUID-LIQUID DISPLACEMENT FLOWS IN A HELE-SHAW CELL INCLUDING NON-NEWTONIAN EFFECTS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2015. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=26868@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>A perfuração de poços de petróleo, principalmente em ambientes offshore, é uma operação que demanda um custo muito elevado, portanto a minimização de problemas e danos ao reservatório produtor é muito importante. O projeto de um fluido de perfuração que garanta a mínima invasão na rocha reservatório é um tópico fundamental, como consequência a indústria petrolífera tem investido em estudos com o intuito de evitar que este problema ocorra. Sendo assim, nesse trabalho estudou-se

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17

Wenzel, Michael [Verfasser]. "Classical solutions for stabilized periodic Hele-Shaw flows with a free surface / Michael Wenzel." Hannover : Technische Informationsbibliothek und Universitätsbibliothek Hannover (TIB), 2013. http://d-nb.info/104735263X/34.

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18

Trieu, Hung Truong. "Études théorique et expérimentale du transport de fluides miscibles en cellule Hele-Shaw." Thesis, Vandoeuvre-les-Nancy, INPL, 2011. http://www.theses.fr/2011INPL027N/document.

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Dans cette thèse, nous avons étudié expérimentalement, numériquement et théoriquement la sédimentation d’un soluté en cellule de Hele-Shaw, modèle analogue de milieu poreux, avec un écoulement zonal horizontal. Une cellule, alimentée par deux grands réservoirs assurant un écoulement zonal uniforme, a été réalisée au laboratoire. La vitesse a été mesurée par PIV. L’injection d’une solution saline dans cet écoulement permet de visualiser la propagation du panache de pollution, et de mesurer le champ de concentration par LIF. Trois configurations typiques ont été observées : panache sans digitati

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19

Jonsson, Karl. "Two Problems in non-linear PDE’s with Phase Transitions." Licentiate thesis, KTH, Matematik (Avd.), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-223562.

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This thesis is in the field of non-linear partial differential equations (PDE), focusing on problems which show some type of phase-transition. A single phase Hele-Shaw flow models a Newtoninan fluid which is being injected in the space between two narrowly separated parallel planes. The time evolution of the space that the fluid occupies can be modelled by a semi-linear PDE. This is a problem within the field of free boundary problems. In the multi-phase problem we consider the time-evolution of a system of phases which interact according to the principle that the joint boundary which emerges

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20

Schafroth, Dario. "Influence of non monotonic viscosity profiles on the stability of miscible displacement flows in a Hele-Shaw cell." Zürich : ETH, Eidgenössische Technische Hochschule Zürich, Institut of Fluid Dynamics, 2006. http://e-collection.ethbib.ethz.ch/show?type=dipl&nr=232.

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21

Callens, Natacha. "Développement, étude expérimentale et visualisation par holographie digitale de mini-séparateurs fluidiques (STEP-SPLITT) en vue de la séparation d'objets de taille micrométrique." Doctoral thesis, Universite Libre de Bruxelles, 2005. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210976.

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Cette thèse expérimentale s’inscrit dans le domaine des sciences séparatives et se base sur la technique de SPLITT (SPLIT-flow Thin fractionation). Son objectif consiste en l’étude des mécanismes qui sont à l’origine de la séparation, en continu et sans membrane, d’objets de taille micrométrique dans des mini-séparateurs fluidiques (Step-SPLITT). Les expériences menées, en laboratoire et lors de vols paraboliques, ont révélé le couplage complexe comme l’influence des effets hydrodynamiques et du champ gravitationnel sur la migration transverse des espèces en écoulement. Des visualisations trid

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22

Pauné, i. Xuriguera Eduard. "Interface Dynamics in Two-dimensional Viscous Flows." Doctoral thesis, Universitat de Barcelona, 2002. http://hdl.handle.net/10803/1584.

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The subject of this thesis is viscous fingering in Hele-Shaw cells, or Hele-Shaw flows. We look for insights into the fundamental mechanisms<br/>underlying the physics of interface dynamics, which we hope will exhibit some degree of universality. The aim is twofold: on the one hand we focus on the role of surface tension and viscosity contrast in the dynamics of fingering patterns. On the other hand we introduce a modification of the original problem and study the effects of a inhomogeneous gap between the<br/>plates of a Hele-Shaw cell.<br/><br/>A dynamical systems approach to competition of

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23

Laborde, Maxime. "Systèmes de particules en interaction, approche par flot de gradient dans l'espace de Wasserstein." Thesis, Paris Sciences et Lettres (ComUE), 2016. http://www.theses.fr/2016PSLED014/document.

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Depuis l’article fondateur de Jordan, Kinderlehrer et Otto en 1998, il est bien connu qu’une large classe d’équations paraboliques peuvent être vues comme des flots de gradient dans l’espace de Wasserstein. Le but de cette thèse est d’étendre cette théorie à certaines équations et systèmes qui n’ont pas exactement une structure de flot de gradient. Les interactions étudiées sont de différentes natures. Le premier chapitre traite des systèmes avec des interactions non locales dans la dérive. Nous étudions ensuite des systèmes de diffusions croisées s’appliquant aux modèles de congestion pour pl

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24

Chang, Sha. "Hele-Shaw Flow Near Cusp Singularities." Thesis, 2013. https://thesis.library.caltech.edu/7252/1/Chang-Sha-2013.pdf.

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This thesis discusses the radial version of the Hele-Shaw problem. Different from the channel version, traveling-wave solutions do not exist in this version. Under algebraic potentials, in the case that the droplets expand, in finite time, cusps will appear on the boundary and classical solutions may not exist afterwards. Physicists have suggested that for (2p+1,2)-cusps, that near cusp singularities of Hele-Shaw flow, after scaling X, Y by some powers of time t respectively, the main part of Y(X, t) is a one-parameter family and does not depend on time t. They have also suggested that the sol

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25

Shu-Shian, Chen, and 陳書嫻. "Numerical Simulation of an Immiscible Lifting Hele-Shaw Flow." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/38d2w4.

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碩士<br>國立交通大學<br>機械工程系所<br>106<br>The LOCA coating machine uses stress to force two plates where OCR material is placed between close-fitting. The glue optimal pattern spreads close to its base plate and no glue should excess the plate boundary. The processes mimic the problems of compressing Hele-Shaw flows. Accordingly, we assume that the inner flow pattern formed from the pulled plate is same as the original figure which upper plate pushed down. In this study, we use computer simulation method to find out that how the viscosity ratio, the initial aspect ratio, the lifting plate velocity and

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26

Lee, Bo-Heng, and 李伯亨. "The Effects of Crack Infiltration and Hele-Shaw Modeling the Seepage Flow." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/uv56bg.

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博士<br>國立中央大學<br>土木工程研究所<br>97<br>This study explores the 2-D transient seepage flow and steady flow from cracks into different porous media, including both coarse material and fine material. The Crack Apparatus of Hele-Shaw Model is chosen to analyze the configuration of wetting front in the coarse material. Due to the effect of gravity on the flow condition, the wetting front in the coarse material is more elongated than that of the fine material. The limited width of wetting front is approaching a constant value in the coarse material. On the other hand, the effect of capillary causes the we

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27

Rezanezhad, Fereidoun [Verfasser]. "Experimental study of fingering flow in porous hele shaw cells / presented by Fereidoun Rezanezhad." 2007. http://d-nb.info/984517863/34.

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28

Al, Brahim Ahmed. "Experimental study on the viscosity effects on the bubbly flow dynamics inside a large Hele-Shaw cell." Thesis, 2018. http://hdl.handle.net/10754/629182.

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We study experimentally the gravity-driven bubbly flow inside a large Hele-Shaw cell. The bubbles and foam were created by a series of upside-down overturns of the half-filled cell about its horizontal axis. When the liquid flows down it entraps a large number of bubbles, which remain stable as the liquid contains surfactant molecules. The total number and sizes of these bubbles slowly asymptote to a steady state after dozens of overturns. It takes longer to reach this asymptote when the viscosity of the liquid is larger. The bubbles also become more monodisperse with more cell over-turns. The

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29

Mei-YuChen and 陳眉羽. "Study on Flow Instabilities on the Miscible Magnetic Fluid Interface in the Rotating Hele-Shaw Cell." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/29403570718640549572.

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碩士<br>國立成功大學<br>航空太空工程學系碩博士班<br>100<br>In this study, the interfacial instabilities of miscible magnetic fluids and diesel were theoretically and experimentally studied in a rotating Hele-Shaw cell. First, the dimensional analysis was used to understand the relation magnetic force, viscous force, centrifugal force, pressure force and Coriolis force. In addition, it could assist in experimental design. Two kinds of the flow field were studied, the open Hele-Shaw cell and the closed Hele-Shaw cell. The labyrinthine fingering phenomena of the miscible magnetic fluid interface on a perpendicular m

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30

Wang, Li-Chieh, and 王立杰. "Studies on Flow Instabilities on the Miscible Fluid Interface in a Hele-Shaw Cell—Injection and Lifting." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/x4zg84.

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博士<br>國立交通大學<br>機械工程系所<br>102<br>Viscous fingering is an interfacial fluid flow instability that occurs when less viscous fluid displaces another more viscous one in a Hele-Shaw cell or porous media, leading to the formation of finger-like pattern at the interface of both fluids. The interfacial evolution of multiphase flows will severely impact on the quality of production and efficiency in a variety of practical application of industrial process. Most frequent example of this instability is that of oil recovery for which viscous fingering takes place when an aqueous solution displaces more v

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31

Li-KueiChen and 陳力魁. "Study on Flow Instabilities on the Miscible Magnetic Fluid Interface in a Hele-Shaw Cell –Stationary and Rotating." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/08438886445186839086.

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32

Yan, Pei-Yu, and 顏佩俞. "Radial Hele-Shaw Flows in a Heterogeneous Porous Medium." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/50297738415480547969.

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碩士<br>國立交通大學<br>機械工程系所<br>103<br>In this study, we successfully use high-order numerical scheme and diffuse-interface method based on Darcy-Cahn-Hilliard model to simulate miscible and immiscible injection flows with constant and linear injection rate in various heterogeneous porous media. It can be applied to analyze the process whereby carbon dioxide is injected into an oil reservoir. We optimize the injection process by reducing the extent of fingering instability and hence increase oil recovery efficiency. Direct qualitative and quantitative comparisons regarding the pattern formations in

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33

Huang, Chi-wen, and 黃琦雯. "Numerical Simulations of Radial Flows on a Rotating Hele-Shaw Cell." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/59925264052841313966.

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碩士<br>雲林科技大學<br>機械工程系碩士班<br>96<br>In this work, we have revisited the immiscible radial fingering problem in Hele-Shaw cells, now considering that the fluids are miscible. In addition to injection, the confined system can be subjected to rotation, so that centrifugal and Coriolis forces may affect the evolution of the diffusing interface in a nontrivial manner. This complex pattern formation problem is examined in detail through intensive numerical simulations. Our numerical experiments reveal that, when fingering is initiated between miscible fluids, the lack of surface tension at the moving

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34

Huang, Yu-Sheng, and 黃裕盛. "A Robust Diffuse-Interface Method for both Miscible and Immiscible Hele-Shaw Flows." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/29043678583908791522.

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博士<br>國立交通大學<br>機械工程系所<br>103<br>In this study, we successfully use diffuse-interface method with high-order numerical scheme to simulate the Hele-Shaw flows. Diffuse-interface method helps us to simulate both miscible and immiscible flows by changing the interface energy profile. To verify our numerical scheme and diffuse-interface method, a rotating Hele-Shaw flow is simulated. In the results, we found that the number of viscous finger is a function of a dimensionless parameter, Bond number (Bo), which is a ratio of surface tension to centrifugal force, the function can be described as: N=√(

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35

Yu-Chia, Liu, and 劉于嘉. "Numerial Simulation of Interfacial Instabilities on Miscible Rotating Hele-Shaw Flows with the Effects of Coriolis Forces and Korteweg Stresses." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/77971765241422065248.

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碩士<br>大葉大學<br>機械工程研究所碩士班<br>92<br>The Hele-Shaw flows driven by centrifugal force have been the subject of recent studies due to their potential applications of in the technology of spin coating. In the common practices of spin coating process, a liquid drop is initially deposited on the top of rotating target substrate, and spreads outward by the centrifugal force. Since the coating film is extremely thin, the process bears similarities to a rotating Hele-Shaw flow. The rotational effects to the fingering instability differ from the radial flows in many ways. Instabilities in radial flows ar

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