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Relevant bibliographies by topics / Hele-Shaw flow

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Academic literature on the topic 'Hele-Shaw flow'

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Published: 4 June 2021

Last updated: 26 January 2023

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Journal articles on the topic "Hele-Shaw flow"

1

Hedenmalm, Håkan, and Sergei Shimorin. "Hele–Shaw flow on hyperbolic surfaces." Journal de Mathématiques Pures et Appliquées 81, no. 3 (2002): 187–222. http://dx.doi.org/10.1016/s0021-7824(01)01222-3.

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Zeybek, M., and Y. C. Yortsos. "Parallel flow in Hele-Shaw cells." Journal of Fluid Mechanics 241 (August 1992): 421–42. http://dx.doi.org/10.1017/s0022112092002106.

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We consider the parallel flow of two immiscible fluids in a Hele-Shaw cell. The evolution of disturbances on the fluid interfaces is studied both theoretically and experimentally in the large-capillary-number limit. It is shown that such interfaces support wave motion, the amplitude of which for long waves is governed by a set of KdV and Airy equations. The waves are dispersive provided that the fluids have unequal viscosities and that the space occupied by the inner fluid does not pertain to the Saffman-Taylor conditions (symmetric interfaces with half-width spacing). Experiments conducted in a long and narrow Hele-Shaw cell appear to validate the theory in both the symmetric and the non-symmetric cases.

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Morris, S. J. S. "Stability of thermoviscous Hele-Shaw flow." Journal of Fluid Mechanics 308 (February 10, 1996): 111–28. http://dx.doi.org/10.1017/s0022112096001413.

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Viscous fingering can occur as a three-dimensional disturbance to plane flow of a hot thermoviscous liquid in a Hele-Shaw cell with cold isothermal walls. This work assumes the principle of exchange of stabilities, and uses a temporal stability analysis to find the critical viscosity ratio and finger spacing as functions of channel length, Lc. Viscous heating is taken as negligible, so the liquid cools with distance (x) downstream. Because the base flow is spatially developing, the disturbance equations are not fully separable. They admit, however, an exact solution for a liquid whose viscosity and specific heats are arbitrary functions of temperature. This solution describes the neutral disturbances in terms of the base flow and an amplitude, A(x). The stability of a given (computed) base flow is determined by solving an eigenvalue problem for A(x), and the critical finger spacing. The theory is illustrated by using it to map the instability for variable-viscosity flow with constant specific heat. Two fingering modes are predicted, one being a turning-point instability. The preferred mode depends on Lc. Finger spacing is comparable with the thermal entry length in a long channel, and is even larger in short channels. When applied to magmatic systems, the results suggest that fingering will occur on geological scales only if the system is about freeze.

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Aronsson, Gunnar, and Ulf Janfalk. "On Hele–Shaw flow of power-law fluids." European Journal of Applied Mathematics 3, no. 4 (1992): 343–66. http://dx.doi.org/10.1017/s0956792500000905.

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This paper reviews the governing equations for a plane Hele–Shaw flow of a power-law fluid. We find two closely related partial differential equations, one for the pressure and one for the stream function. Some mathematical results for these equations are presented, in particular some exact solutions and a representation theorem. The results are applied to Hele–Shaw flow. It is then possible to determine the flow near an arbitrary corner for any power-law fluid. Other examples are also given.

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BALSA, THOMAS F. "Secondary flow in a Hele-Shaw cell." Journal of Fluid Mechanics 372 (October 10, 1998): 25–44. http://dx.doi.org/10.1017/s0022112098002171.

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We examine the flow in a horizontal Hele-Shaw cell in which the undisturbed unidirectional flow at infinity is required to stream around a vertical cylinder spanning the gap between the two (horizontal) plates of the cell. A combination of matched asymptotic expansions and numerical methods is employed to elucidate the structure of the boundary layer near the surface of the cylinder. The two length scales of the problem are the gap, h, and the length of the body, l; it is assumed that h/l<<1. The characteristic Reynolds number based on l is O(1). The length scales associated with the boundary layer and the classical Hele-Shaw flow pattern are O(h) and O(l), respectively.It is found that the boundary layer contains streamwise vorticity. This vorticity is generated at the three no-slip surfaces (the two plates and the cylinder wall) as a result of the cross-flow induced by the streamwise acceleration/deceleration of the flow around the curved cylinder. The strength of the secondary flow, hence the associated streamwise vorticity, is proportional to changes in body curvature. The validity of the classical Hele-Shaw flow is examined systematically, and higher-order corrections are worked out. This results in a displacement thickness that is roughly 30% of the gap. In other words, the lowest-order correction to the classical Hele-Shaw flow may be obtained by requiring the outer flow (on the scale O(l)) to satisfy the no-penetration boundary condition on a displaced cylinder surface. The boundary layer contains ‘corner’ vortices at the intersections of the horizontal plates and the vertical cylinder surface.

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BOOS, W., and A. THESS. "Thermocapillary flow in a Hele-Shaw cell." Journal of Fluid Mechanics 352 (December 10, 1997): 305–30. http://dx.doi.org/10.1017/s0022112097007477.

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We formulate a simple theoretical model that permits one to investigate surface-tension-driven flows with complex interface geometry. The model consists of a Hele-Shaw cell filled with two different fluids and subjected to a unidirectional temperature gradient. The shape of the interface that separates the fluids can be arbitrarily complex. If the contact line is pinned, i.e. unable to move, the problem of calculating the flow in both fluids is governed by a linear set of equations containing the characteristic aspect ratio and the viscosity ratio as the only input parameters. Analytical solutions, derived for a linear interface and for a circular drop, demonstrate that for large aspect ratio the flow field splits into a potential core flow and a thermocapillary boundary layer which acts as a source for the core. An asymptotic theory is developed for this limit which reduces the mathematical problem to a Laplace equation with Dirichlet boundary conditions. This problem can be efficiently solved utilizing a boundary element method. It is found that the thermocapillary flow in non-circular drops has a highly non-trivial streamline topology. After releasing the assumption of a pinned interface, a linear stability analysis is carried out for the interface under both transverse and longitudinal temperature gradients. For a semi-infinite fluid bounded by a freely movable surface long-wavelength instability due to the temperature gradient across the surface is predicted. The mechanism of this instability is closely related to the long-wave instability in surface-tension-driven Bénard convection. A linear interface heated from the side is found to be linearly stable. The possibility of experimental verification of the predictions is briefly discussed.

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McDONALD, N. R. "Generalised Hele-Shaw flow: A Schwarz function approach." European Journal of Applied Mathematics 22, no. 6 (2011): 517–32. http://dx.doi.org/10.1017/s0956792511000210.

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An equation governing the evolution of a Hele-Shaw free boundary flow in the presence of an arbitrary external potential – generalised Hele-Shaw flow – is derived in terms of the Schwarz functiong(z,t) of the free boundary. This generalises the well-known equation ∂g/∂t= 2∂w/∂z, wherewis the complex potential, which has been successfully employed in constructing many exact solutions in the absence of external potentials. The new equation is used to re-derive some known explicit solutions for equilibrium and time-dependent free boundary flows in the presence of external potentials, including those with singular potential fields, uniform gravity and centrifugal forces. Some new solutions are also constructed that variously describe equilibrium flows with higher order hydrodynamic singularities in the presence of electric point sources and an unsteady solution describing bubbles under the combined influence of strain and centrifugal potential.

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Mishuris, Gennady, Sergei Rogosin, and Michal Wrobel. "MOVING STONE IN THE HELE‐SHAW FLOW." Mathematika 61, no. 2 (2015): 457–74. http://dx.doi.org/10.1112/s0025579314000461.

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Hedenmalm, Haakan, and Anders Olofsson. "Hele-Shaw flow on weakly hyperbolic surfaces." Indiana University Mathematics Journal 54, no. 4 (2005): 1161–80. http://dx.doi.org/10.1512/iumj.2005.54.2651.

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Ceniceros †, Hector D., and José M. Villalobos. "Topological reconfiguration in expanding Hele—Shaw flow." Journal of Turbulence 3 (January 2002): N37. http://dx.doi.org/10.1088/1468-5248/3/1/037.

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

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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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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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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 équipe développe des capteurs acoustiques dédiés à la détection d’analytes biologiques en milieu liquide. Ce type de capteur a pour principal défaut de ne permettre qu’une mesure contraignant au remplacement de l’interface de biodétection pour une réutilisation éventuelle du capteur. Dès lors, ils utilisent majoritairement une chambre de détection tout ou partie jetable, même si quelques travaux de recherche ont pu montrer la régénération d’un capteur par traitement chimique.Nous proposons ici de s’affranchir des étapes lourdes de remplacement ou de traitement de l’interface de détection qui conduisent entre chaque mesure au démontage du dispositif de détection. Nous employons dans ce cas les gouttes non plus comme enceinte réactionnelle mais comme interface de détection mobile. Elles ont ainsi le potentiel d’être générées et fonctionnalisées directement dans le dispositif pour détecter un analyte spécifique et peuvent être simplement évacuées afin de régénérer l’interface pour effectuer une mesure différente.Les travaux présentés dans cette thèse visent plus particulièrement la capture sur gouttes fonctionnalisées dans ce type de capteur innovant. Ils exposent le développement, incluant la fabrication et la caractérisation, de ces dispositifs microfluidiques ainsi que le montage d’un banc de test expérimental dédié. Ce sujet est suivi de deux projets ancillaires de développement de dispositifs microfluidiques liés aux capteurs acoustiques et à l’utilisation de gouttes. Le premier vise à homogénéiser les vitesses d’écoulements dans une chambre réactionnelle. Le second exploite les propriétés de génération de gouttes pour réaliser un condensateur à capacité variable<br>Since two decades the research on microfluidics systems allowed creating devices for biological detection with regular improvement in compactness, functionality integration and quantity of biological sample, leading to the concept of lab-on-chip. This approach has resulted in dramatic changes in the biomedical field, for example, opening the possibility to perform genomic analysis or improving the medical analysis cost. Using droplet as reaction chamber is a recent evolution that leads to a decrease in biological sample volume and an increase in analysis speed by multiplexing.Our team develops acoustical sensors dedicated to detect biomarker of interest in liquids. The principal weakness of theses sensors lies in their need for replacement of the biodetection interface for performing a new measurement. Accordingly, they use a detection chamber partially or totally disposable. However, few research works showed reusability of sensor by regenerating the bioreceptor layer on the detection interface by chemical treatment.We are proposing to avoid the replacement or the chemical treatment of the detection interface that requires dismounting the device between measurements. We are using here droplets, not as reaction chambers but as movable detection interface. They can be generated and configured directly inside the device to detect a specific biomarker. Then, droplets can be easily evacuated and replaced through the device, which allows to chain measurement of various configurations without dismounting it.The research work conducted in this thesis focuses on the fluidic aspects of this innovative sensor. They show development, including realization and characterization, of theses microfluidic devices and its dedicated characterization setup. This project is followed by two ancillary works about development of microfluidic devices for acoustical sensors and droplets systems. The first one is aiming at the homogenization of the flow velocity inside a reaction chamber. The second one is exploiting property of droplet generation for the realization of a variable capacitance capacitor

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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 dissertation reformulates the three-dimensional problem as one on the two-dimensional interface by using boundary integrals. A semi-implicit scheme to solve the free boundary problem numerically is implemented. Numerical analysis tasks include discretizing surfaces, overcoming node bunching, and dealing with topology change in a toroidal particle. A particle (node)-cluster technique is developed with the aim of alleviating excessive run time caused by filling the dense matrix used in solving a system of linear equations.

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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>CNPQ<br>Consideramos o movimento da interface entre dois fluidos viscosos, imiscíveis e incompressíveis confinados em uma célula de Hele-Shaw radial. Quando o fluido de baixa viscosidade é injetado no centro da célula e desloca radialmente o fluido de alta viscosidade, a instabilidade de Saffman-Taylor entra em ação levando ao crescimento de estruturas em formato de dedos. Dependendo da natureza dos fluidos envolvidos, eles podem molhar as paredes da célula de Hele-Shaw, deixando para trás um filme molhante de espessura finita. Diante disso, investigamos a influência da camada de fluido molhante, deixada pelo fluido deslocado, na dinâmica linear e fracamente não-linear do sistema. Mais especificamente, examinamos como a instabilidade da interface e os mecanismos de formação de padrões (bifurcação e competição de dedos) são afetados pela presença da camada de filme molhante no limite de baixo número de capilaridade. Estudamos também uma variação da instabilidade de Saffman-Taylor usual induzida pela injeção: o problema do levantamento em célula de Hele-Shaw. Nossos resultados analíticos indicam que o molhamento tem um impacto significativo nos padrões não-lineares resultantes. Ele é responsável por uma atenuação na variação do comprimento dos dedos, enquanto que induz o aparecimento de estruturas que apresentam dedos pequenos e largos, provenientes do fluido não molhante, alternados por dedos pequenos e finos pertencentes ao fluido molhante. Durante o processo de levantamento, medidas adquiridas pelo teste de adesão quantificam a força adesiva de um fluido viscoso confinado entre placas paralelas. Experimentos e intensas simulações numéricas indicam que a formação de dedos afeta a força de levantamento, promovendo uma diminuição na magnitude da mesma. Concluímos este trabalho propondo um modelo analítico que forneça a força de adesão considerando não só o efeito de dedos da interface, mas também a ação do molhamento e de estresses viscosos normais.<br>We consider the interfacial motion between two immiscible, incompressible, viscous fluids in the confined geometry of a radial Hele-Shaw cell. When the less viscous fluid is injected at the center and drives radially the more viscous fluid, the Saffman-Taylor instability takes place leading to the growth of fingerlike shapes. Depending on the nature of the fluids involved, they can wet the walls of the Hele-Shaw cell plates, leaving behind a film of finite thickness. In this framework, we investigate the influence of a thin wetting film trailing behind the displaced fluid on the linear and weakly nonlinear dynamics of the system. More specifically, we examine how the interface instability and the pattern formation mechanisms of finger tip-splitting and finger competition are affected by the presence of such a film in the low capillary number limit. We also examined a variant of the usual injection-driven Saffman-Taylor instability: the lifting Hele-Shaw cell problem. Our analytical results indicate that wettability has a significant impact on the resulting nonlinear patterns. It restrains finger length variability while inducing the development of structures presenting short, blunt penetrating fingers of the nonwetting fluid, alternated by short, sharp fingers of the wetting fluid. During the lifting process, probe-tack measurements evaluate the adhesion strength of viscous fluids confined between parallel plates. Existing meticulous experiments and intensive numerical simulations indicate that fingering formation affects the lifting force, making it to decrease in intensity. We conclude this work by proposing an analytical model that computes the lifting adhesion force by taking into account not only the effect of interfacial fingering, but also the action of wetting, and viscous normal stresses.

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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 taille finie en fonction des paramètres expérimentaux (contraste de viscosité, vitesse de déplacement et taille de l'échantillon). Pour les fluides réactifs, nous analysons la digitation induite par une réaction A + B C dont le produit C est plus visqueux que les réactifs A et B, ceux-ci ayant la même viscosité. Nous mettons en évidence l'effet des concentrations en réactifs, du choix du fluide vecteur et du débit d'injection sur le motif de digitation.<br>Doctorat en Sciences<br>info:eu-repo/semantics/nonPublished

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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 domaine frais. L'effet de la nature multiéchelle de l'écoulement sur la vitesse moyenne du front est compris par une méthode de renormalisation dont la validation est fournie par l'obtention d'un courbe maitresse pour l'ensemble des données<br>The propagation of a reaction-diffusion front is experimentally studied in a multi-scale cellular flow. The front is produced by an autocatalytic chemical reaction in an aqueous solution. The flow is generated by electroconvection and its multi-scale nature is induced by overlaying magnets of different scales. This enables an independent tune of the flow intensity at each scale. The geometry and the mean velocity of the front have been determined over a large range of scale intensities. These features are confirmed by a numerical simulation based on a burnt and fresh domain dynamics, the burnt domain expanding across the fresh one. The effect of the multi-scale nature of the flow on the mean front velocity is recovered by a renormalisation method validated by a collapse of the data onto a single curve

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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 bubbles.

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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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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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Books on the topic "Hele-Shaw flow"

1

Glimm, James. The laminar to slug flow transition in Hele-Shaw flow. Courant Institute of Mathematical Sciences, New York University, 1989.

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Baker, Gregory. A well-posed numerical method to track isolated conformal map singularities in Hele-Shaw flow. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1995.

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Baker, Gregory. A well-posed numerical method to track isolated conformal map singularities in Hele-Shaw flow. Institute for Computer Applications in Science and Engineering, 1995.

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Tanveer, Saleh. Analytic theory for the determination of velocity and stability of bubbles in a Hele-Shaw cell. Part II: Stability. ICASE, 1989.

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Tanveer, Saleh. Analytic theory for the determination of velocity and stability of bubbles in a Hele-Shaw cell. Part I: Velocity selection. ICASE, 1989.

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Interfacial wave theory of pattern formation: Selection of dendritic growth and viscous fingering in Hele-Shaw flow. Springer, 1998.

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Institute for Computer Applications in Science and Engineering., ed. Analytic theory for the determination of velocity and stability of bubbles in a Hele-Shaw cell. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1989.

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Interfacial Wave Theory of Pattern Formation: Selection of Dendritic Growth and Viscous Fingering in Hele-Shaw Flow. Springer, 2011.

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Xu, Jian-Jun. Interfacial Wave Theory of Pattern Formation: Selection of Dendritic Growth and Viscous Fingering in Hele-Shaw Flow. Springer, 2012.

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Book chapters on the topic "Hele-Shaw flow"

1

Shelley, Michael J., Raymond E. Goldstein, and Adriana I. Pesci. "Topological Transitions in Hele-Shaw Flow." In Singularities in Fluids, Plasmas and Optics. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-2022-7_13.

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Bernal, Francisco, and Manuel Kindelan. "Meshless Simulation of Hele-Shaw Flow." In Progress in Industrial Mathematics at ECMI 2006. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-71992-2_113.

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Maher, J. V. "Fingering Patterns in Hele-Shaw Flow." In Springer Proceedings in Physics. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-93301-1_32.

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Schwartz, Leonard W. "Recent Developments in Hele-Shaw Flow Modeling." In Numerical Simulation in Oil Recovery. Springer US, 1988. http://dx.doi.org/10.1007/978-1-4684-6352-1_16.

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Meyer, Gunter H. "Front Tracking for the Unstable Hele-Shaw and Muskat Problems." In Flow in Porous Media. Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-8564-5_12.

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Chen, Ching-Yao, Shu-Wei Wang, and Yu-Chia Liu. "Fingering Instabilities in a Miscible Rotating Hele-Shaw Flow." In Computational Fluid Dynamics 2002. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-59334-5_70.

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Rupesh, Akhila, P. Vinaykumar Doddamani, P. Umeshkumar, Amaresh Wavare, and M. B. Mahanthesh. "Construction of Hele Shaw Apparatus for Subsonic Flow Visualization." In Lecture Notes in Mechanical Engineering. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-7909-4_36.

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Xu, Liu-Jun, and Ji-Ping Huang. "Theory for Hele-Shaw Convective Cloaks: Bilayer Scheme." In Transformation Thermotics and Extended Theories. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-5908-0_6.

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AbstractThermal convection is one of the three basic heat transfer mechanisms, profoundly influencing the natural environment, social production, and daily life. However, the high complexity of governing equation, which describes the coupling of heat and mass transfer, makes it challenging to manipulate thermal convection at will in both theory and experiment. Here, we consider the heat transfer in Hele-Shaw cells, a widely-used model of Stokes flow between two parallel plates with a small gap, and apply the scattering-cancellation technology to construct convective thermal materials with bilayer structures and homogeneous isotropic materials. By tailoring thermal conductivity and viscosity, we demonstrate cloaking devices that can simultaneously hide obstacles from heat and fluid motion and verify their robustness under various thermal-convection environments by numerical simulations. Our results show that about 80% of the temperature and pressure disturbances in the background caused by obstacles can be eliminated by the cloak. The developed approach can be extended to control other convection-diffusion systems or multiphysics processes. The results pave a promising path for designing various metadevices such as concentrators or sensors.

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Sharma, Mayank, Shikhar Jaiswal, Sumit Singh Rajput, Shreya Tripathi, Subiksha C, and G. Vinayagamurthy. "Flow Visualization of Two-Dimensional Bodies Using Hele-Shaw Apparatus." In Lecture Notes in Mechanical Engineering. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-0698-4_92.

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Parlange, J. Yves, Tammo S. Steenhuis, Ling Li, D. A. Barry, and Frank Stagnitti. "Column flow in stratified soils and fingers in Hele-Shaw cells: A review." In Environmental Mechanics: Water, Mass and Energy Transfer in the Biosphere. American Geophysical Union, 2002. http://dx.doi.org/10.1029/129gm08.

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Conference papers on the topic "Hele-Shaw flow"

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Yamamoto, Takehiro. "Finger Growth in Surfactant Solution in Hele-Shaw Cells." In FLOW DYNAMICS: The Second International Conference on Flow Dynamics. AIP, 2006. http://dx.doi.org/10.1063/1.2204505.

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Petkovic-Duran, K., and Y. Zhu. "Capillary flow in microfluidic Hele-Shaw cells." In Smart Nano-Micro Materials and Devices, edited by Saulius Juodkazis and Min Gu. SPIE, 2011. http://dx.doi.org/10.1117/12.903213.

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Corvera, Eugenia, Hong Guo, and David Jasnow. "Hele-Shaw flow with anisotropic surface tension." In CAM-94 Physics meeting. AIP, 1995. http://dx.doi.org/10.1063/1.48765.

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Boronin, S., A. Osiptsov, and J. Desroches. "Flows of particle-laden Bingham fluids in a Hele-Shaw cell." In MULTIPHASE FLOW 2013. WIT Press, 2013. http://dx.doi.org/10.2495/mpf130121.

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Emeigh, Carson, Haipeng Zhang, and Sangjin Ryu. "Microfluidics-Based Fabrication of a Hele-Shaw Cell Device for Drop Coalescence Imaging." In ASME 2021 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/imece2021-68063.

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Abstract The Hele-Shaw cell has been well used for various flow studies because it can simplify analyzing the flow of interest to two-dimensional creeping one. The Hele-Shaw cell consists of two parallel flat plates with a very small gap between them. When a working fluid is injected through this narrow gap, two-dimensional Stokes flow is generated with an extremely low Reynolds number and negligible flow velocity normal to the plates. Applications of Hele-Shaw cell devices include experimental studies of drop coalescence, Stokes flow, and confining cells to a 2D plane, and they usually depend on cameras to capture phenomena of interest from the experiment. The quality of the collected images largely depends on the optical quality of the Hele-Shaw cell. Therefore, it is favorable to reduce the degree of light attenuation through Hele-Shaw cells. Previously we fabricated a Hele-Shaw cell using polydimethylsiloxane (PDMS) and soft lithography, which are common in microfluidic fabrication, to study drop coalescence with high-speed imaging. It was found that the frame rate of high-speed imaging was limited by light intensity, which was affected by light attenuation through PDMS, and thus the very initial stage of the neck growth during coalescence was not captured. To overcome this limitation, an advanced fabrication method of the Hele-Shaw cell has been developed to incorporate a glass observation window in the PDMS part of the cell. The previous and newly developed Hele-Shaw cell devices were compared in terms of local intensity and contrast, and improvement in image quality was confirmed. Our method has the following advantages. First, the thickness of the PDMS layers is controllable and thus the attenuation of light intensity can be reduced. Second, the glass-based observation window can enable clearer images with reduced image defects caused by PDMS. Therefore, the suggested microfluidics-based fabrication method of the Hele-Shaw cell has the potential to increase the resolution of high-speed imaging and to reduce the difficulty of post image processing.

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Costalonga, Maxime, Hassan Peerhossaini, and Philippe Brunet. "Low Frequency Acoustic Streaming in a Hele-Shaw Cell." In ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting collocated with the ASME 2014 12th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/fedsm2014-21384.

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When an acoustic wave propagates in a fluid, it can generate a second order flow which characteristic time is much longer than the period of the wave. Within a range of frequency between 1 and several hundred Hz, a relatively simple and versatile way to generate streaming flow is to put a vibrating object in the fluid. The flow develops vortices in the viscous boundary layer located in the vicinity of the source of vibrations, which in turns leads to an outer irrotational streaming denoted as Rayleigh streaming. Due to that the flow originates from non-linear time-irreversible terms of the Navier-Stokes equation, this phenomenon can be used to move fluids and even to generate efficient mixing at low Reynolds number, for instances in confined geometries. Here we report an experimental study of such streaming flow in a Hele-Shaw cell of 2 millimeters span using long exposure flow visualization and PIV measurements. Our study is especially focused on the effects of acoustic frequency and amplitude on flow dynamics. It is shown that some features of this flow can be predicted by simple scaling arguments, invoking a balance between viscous dissipation in the boundary layer and inertia term, and that acoustic streaming facilitates the generation of vortices.

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Reinker, Felix, Marek Kapitz, and Stefan aus der Wiesche. "Boiling Under Hele-Shaw Flow Conditions: The Occurrence of Viscous Fingering." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-62886.

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Boiling and bubble dynamics were experimentally investigated in a Hele-Shaw flow cell using pure water at atmospheric pressure as working fluid. The resulting vapor bubble shapes were recorded by means of a high-speed camera for several plate spacings and heating power levels. It was found that viscous fingering phenomena of vapor bubbles occurred only under very special boiling conditions and cell parameters. The evaporation front velocity was identified as a major parameter for the onset of viscous fingering. The observed basic viscous fingering dynamics was in reasonable agreement with theoretical analyses. In addition to that classical viscous large fingering, small-scale evaporation instability was observed leading to microscopic roughening of accelerating evaporation fronts. This instability might be explicitly related to evaporative heat and mass transfer effects across the fast-moving phase interface.

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Ngo, C. C., and C. G. Peinder. "Flow Simulation of Radiant Floor Heating System Using Hele-Shaw Analogy." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-38733.

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Radiant floor heating systems are becoming increasingly popular in green building designs. Typically, solar or geothermal energy is employed as a source for such hydronic heating systems. Buried heating pipe system can be used for heating both residential and industrial spaces as well as defrosting snow on walkways, driveways and sport fields. Most of the heating pipes considered in such applications are buried in a porous medium (i.e., insulation layer or soils). Hele-Shaw cells with different pipe spacing were constructed to simulate different floor heating configurations. The objective of the present experimental study is to examine the flow field within porous medium using the Hele-Shaw analogy. The flow visualization experiment was set up to investigate how a change in pipe spacing and pipe temperature would affect the flow patterns from the heated pipes. Using time-elapsed photographs, one observes that the flow fields for different pipe spacings with different buoyancy strengths display distinct characteristics.

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Clark, Peter E., and Qinsheng Zhu. "Flow in a Hele-Shaw Cell With Restrictions Above and Below the Entrance." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-1179.

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Abstract The question of how slurries are transported and placed during hydraulic fracturing treatments was first broached by Kern et al. (Kern, Perkins et al., 1959), in 1959. In the early 90’s, Cleary and Fonseca (Cleary and Fonseca Jr., 1992) suggested that gravity acting on the slurry as a whole would cause the heavier slurry to fall through the fluid in the fracture and that this would dominate individual particle settling in determining the final distribution of proppant. This sparked a healthy debate concerning the nature of flow into a fracture and brought about a renewed interest in fracture fluid flow. A fracture is analogous to a Hele-Shaw flow cell. However, most experimental studies that deal with flow in fractures assume that the fracture is globally uniform with constant height and width. This is hardly the case in real fractures. Downhole cameras have revealed that fractures are anything but uniform. There are wide and narrow regions coupled with abrupt changes in uniformity. In addition, pressure analysis indicates that, in many cases, the height of the fracture changes during most of the treatment. These all serve to disturb not only bulk slurry flow but also the settling behavior of the particles that make up the slurry. While it is difficult to simulate the growth of a fracture experimentally, width non-uniformities can be simulated and their effect on slurry flow determined. A method that can be used to predict the behavior of the slurry in the presence of a non-uniformity will be presented. These techniques can be incorporated into computer models to improve predictive capabilities.

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Dupret, F., V. Verleye, and B. Languillier. "Numerical Prediction of the Molding of Composite Parts." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0476.

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Abstract This paper concerns the prediction of the effect of Hele Shaw flow upon the orientation of a suspension of short fibers. A numerical method to solve the decoupled free boundary flow problem and to calculate the fiber orientation is elaborated. Recent developments in the theory of the 3D natural closure approximation are presented and discussed.

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Reports on the topic "Hele-Shaw flow"

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Zeybek, M., and Y. C. Yortsos. Long waves in parallel flow in Hele-Shaw cells. Office of Scientific and Technical Information (OSTI), 1991. http://dx.doi.org/10.2172/5920848.

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