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Relevant bibliographies by topics / Hele-Shaw flow

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Academic literature on the topic 'Hele-Shaw flow'

Author: Grafiati

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

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3

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 viscosit

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4

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 bou

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6

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 solut

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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 th

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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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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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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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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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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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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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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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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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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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2

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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4

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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5

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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8

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

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9

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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2

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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3

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"

1

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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2

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

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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 Nav

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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 theo

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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 t

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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 f

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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"

1

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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