Numerical Study of Flows of Two Immiscible Liquids at Low Reynolds Number
2000; Society for Industrial and Applied Mathematics; Volume: 42; Issue: 3 Linguagem: Inglês
10.1137/s0036144599354604
ISSN1095-7200
Autores Tópico(s)Lattice Boltzmann Simulation Studies
ResumoPrevious article Next article Numerical Study of Flows of Two Immiscible Liquids at Low Reynolds NumberJie Li and Yuriko RenardyJie Li and Yuriko Renardyhttps://doi.org/10.1137/S0036144599354604PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractWe review our recent results on fingering, bamboo waves, and drop breakup in low Reynolds number flows composed of two viscous liquids under shear.[1] Google Scholar[2] Google Scholar[3] D. Joseph, , R. Bai, , K. Chen and , Y. Renardy, Core‐annular flows, Annu. Rev. Fluid Mech., Vol. 29, Annual Reviews, Palo Alto, CA, 1997, 65–90 10.1146/annurev.fluid.29.1.65 1435034 CrossrefGoogle Scholar[4] C. S. Yih, Instability due to viscosity stratification, J. Fluid Mech., 26 (1967), p. 337. jfl JFLSA7 0022-1120 J. Fluid Mech. CrossrefISIGoogle Scholar[5] Google Scholar[6] Google Scholar[7] J. Li, Calcul d'interface affine par morceaux (Piecewise Linear Interface Calculation), C. R. Acad. Sci. Paris Sér. II, 320 (1995), pp. 391–396. Google Scholar[8] Google Scholar[9] E. J. Puckett, , A. S. Almgren, , J. B. Bell, , D. L. Marcus and , and W. J. Rider, A higher order projection method for tracking fluid interfaces in variable density incompressible flow, J. Comput. Phys., 130 (1997), pp. 269–282. jct JCTPAH 0021-9991 J. Comput. Phys. CrossrefISIGoogle Scholar[10] William Rider and , Douglas Kothe, Reconstructing volume tracking, J. Comput. Phys., 141 (1998), 112–152 10.1006/jcph.1998.5906 99a:65200 CrossrefISIGoogle Scholar[11] Ruben Scardovelli and , Stéphane Zaleski, Direct numerical simulation of free‐surface and interfacial flow, Annu. Rev. Fluid Mech., Vol. 31, Annual Reviews, Palo Alto, CA, 1999, 567–603 10.1146/annurev.fluid.31.1.567 99m:76002 CrossrefGoogle Scholar[12] Bruno Lafaurie, , Carlo Nardone, , Ruben Scardovelli, , Stéphane Zaleski and , Gianluigi Zanetti, Modelling merging and fragmentation in multiphase flows with SURFER, J. Comput. Phys., 113 (1994), 134–147 10.1006/jcph.1994.1123 1278194 CrossrefISIGoogle Scholar[13] Adrian Coward, , Yuriko Renardy, , Michael Renardy and , John Richards, Temporal evolution of periodic disturbances in two‐layer Couette flow, J. Comput. Phys., 132 (1997), 346–361 10.1006/jcph.1996.5640 97m:76136 CrossrefISIGoogle Scholar[14] D. Gueyffier, , J. Li, , A. Nadim, , R. Scardovell and , and S. Zaleski, Volume of fluid interface tracking and smoothed surface stress methods applied to multiphase flow and pendant drop pinching, J. Comput. Phys., 152 (1999), pp. 423–456. jct JCTPAH 0021-9991 J. Comput. Phys. CrossrefISIGoogle Scholar[15] S. Popinet and and S. Zaleski, A front‐tracking algorithm for the accurate representation of surface tension, Internat. J. Numer. Methods Fluids, 30 (1999), pp. 775–793. ijy IJNFDW 0271-2091 Int. J. Numer. Methods Fluids CrossrefISIGoogle Scholar[16] J. Li, , Y. Renardy and , and M. Renardy, Numerical simulation of breakup of a viscous drop in simple shear flow with a volume‐of‐fluid method, Phys. Fluids, 12 (2000), pp. 269–282. phf PHFLE6 1070-6631 Phys. Fluids CrossrefISIGoogle Scholar[17] A. J. Chorin, A numerical method for solving incompressible viscous flow problems, J. Comput. Phys., 2 (1967), pp. 12–26. jct JCTPAH 0021-9991 J. Comput. Phys. CrossrefGoogle Scholar[18] F. H. Harlow and and J. E. Welsh, Numerical calculation of time‐dependent viscous incompressible flow with free surface, Phys. Fluids, 8 (1965), pp. 2182–2189. pfl PFLDAS 0031-9171 Phys. Fluids CrossrefISIGoogle Scholar[19] Rozhe Pei˘re and , Tomas Tei˘lor, Vychislitelnye metody v zadachakh mekhaniki zhidkosti, "Gidrometeoizdat", 1986, 352–0, Translated from the English, edited and with a preface by N. E. Vol'tsinger, L. V. Rukhovets and B. E. Shneerov 87j:76008 Google Scholar[20] A. Brandt, Multi‐level adaptive solutions to boundary‐value problems, Math. Comput., 31 (1977), pp. 333–390. mcm MCMPAF 0025-5718 Math. Comput. CrossrefISIGoogle Scholar[21] Alexandre Chorin, Flame advection and propagation algorithms, J. Comput. Phys., 35 (1980), 1–11 81d:76061 CrossrefISIGoogle Scholar[22] J. Brackbill, , D. Kothe and , C. Zemach, A continuum method for modeling surface tension, J. Comput. Phys., 100 (1992), 335–354 93c:76008 CrossrefISIGoogle Scholar[23] J. Li, , Y. Renardy and , and M. Renardy, A numerical study of periodic disturbances on two‐layer Couette flow, Phys. Fluids, 10 (1998), pp. 3056–3071. phf PHFLE6 1070-6631 Phys. Fluids CrossrefISIGoogle Scholar[24] J. Li and and Y. Renardy, Direct simulation of unsteady axisymmetric core‐annular flow with high viscosity ratio, J. Fluid Mech., 391 (1999), pp. 123–149. jfl JFLSA7 0022-1120 J. Fluid Mech. CrossrefISIGoogle Scholar[25] Yan Zang, , Robert Street and , Jeffrey Koseff, A non‐staggered grid, fractional step method for time‐dependent incompressible Navier‐Stokes equations in curvilinear coordinates, J. Comput. Phys., 114 (1994), 18–33 10.1006/jcph.1994.1146 95e:76064 CrossrefISIGoogle Scholar[26] Y. Renardy, Instability at the interface between two shearing fluids in a channel, Phys. Fluids, 28 (1985), pp. 3441–3443. pfl PFLDAS 0031-9171 Phys. Fluids CrossrefISIGoogle Scholar[27] Yuriko Renardy, Weakly nonlinear behavior of periodic disturbances in two‐layer Couette‐Poiseuille flow, Phys. Fluids A, 1 (1989), 1666–1676 10.1063/1.857548 90k:76051 CrossrefGoogle Scholar[28] Google Scholar[29] Google Scholar[30] C. Pozrikidis, Instability of two‐layer creeping flow in a channel with parallel‐sided walls, J. Fluid Mech., 351 (1997), 139–165 10.1017/S0022112097007052 98j:76028 CrossrefISIGoogle Scholar[31] J. C. Lasheras and and H. Choi, Three‐dimensional instability of a plane free shear layer: An experimental study of the formation and evolution of streamwise vortices, J. Fluid Mech., 189 (1988), pp. 53–86. jfl JFLSA7 0022-1120 J. Fluid Mech. CrossrefISIGoogle Scholar[32] Y. Renardy and and J. Li, Comment on "A numerical study of periodic disturbances on two‐layer Couette flow", Phys. Fluids, 11 (1999), pp. 3189–3190. phf PHFLE6 1070-6631 Phys. Fluids CrossrefISIGoogle Scholar[33] V. Cristini, , J. Blawzdziewicz and , and M. Loewenberg, Drop breakup in three‐dimensional viscous flows, Phys. Fluids, 10 (1998), pp. 1781–1783. phf PHFLE6 1070-6631 Phys. Fluids CrossrefISIGoogle Scholar[34] R. Bai, , K. Chen and , and D. D. Joseph, Lubricated pipelining: Stability of core‐annular flow. Part 5. experiments and comparison with theory, J. Fluid Mech., 240 (1992), pp. 97–142. jfl JFLSA7 0022-1120 J. Fluid Mech. CrossrefISIGoogle Scholar[35] Yuriko Renardy, Snakes and corkscrews in core‐annular down‐flow of two fluids, J. Fluid Mech., 340 (1997), 297–317 10.1017/S0022112097005351 98d:76072 CrossrefISIGoogle Scholar[36] H. Hu and and N. Patankar, Non‐axisymmetric instability of core‐annular flow, J. Fluid Mech., 290 (1995), pp. 213–234. jfl JFLSA7 0022-1120 J. Fluid Mech. CrossrefISIGoogle Scholar[37] R. Bai, , K. Kelkar and , and D. D. Joseph, Direct simulation of interfacial waves in a high‐viscosity‐ratio and axisymmetric core‐annular flow, J. Fluid Mech., 327 (1996), pp. 1–34. jfl JFLSA7 0022-1120 J. Fluid Mech. CrossrefISIGoogle Scholar[38] G. I. Taylor, The viscosity of a fluid containing small drops of another fluid, Proc. Roy. Soc. London Ser. A, 138 (1932), pp. 41–48. b6h PRLAAZ 0950-1207 Proc. R. Soc. London, Ser. A CrossrefGoogle Scholar[39] G. I. Taylor, The formation of emulsions in definable fields of flow, Proc. Roy. Soc. London Ser. A, 146 (1934), pp. 501–523. b6h PRLAAZ 0950-1207 Proc. R. Soc. London, Ser. A CrossrefGoogle Scholar[40] E. J. Hinch and and A. Acrivos, Steady long slender droplets in two‐dimensional streaming motion, J. Fluid Mech., 91 (1979), pp. 401–414. jfl JFLSA7 0022-1120 J. Fluid Mech. CrossrefISIGoogle Scholar[41] H. P. Grace, Dispersion phenomena in high viscosity immiscible fluid systems and application of static mixers as dispersion devices in such systems, Chem. Engrg. Commun., 14 (1982), pp. 225–277. cec CEGCAK 0098-6445 Chem. Eng. Commun. CrossrefISIGoogle Scholar[42] T. G. Mason and and J. Bibette, Shear rupturing of droplets in complex fluids, Langmuir, 13 (1997), pp. 4600–4613. lan LANGD5 0743-7463 Langmuir CrossrefISIGoogle Scholar[43] Google Scholar[44] S. Kwak and , C. Pozrikidis, Adaptive triangulation of evolving, closed, or open surfaces by the advancing‐front method, J. Comput. Phys., 145 (1998), 61–88 10.1006/jcph.1998.6030 1640150 CrossrefISIGoogle Scholar[45] J. M. Rallison, The deformation of small viscous drops and bubbles in the shear flows, Ann. Rev. Fluid Mech., 16 (1984), pp. 45–66. arf ARVFA3 0066-4189 Annu. Rev. Fluid Mech. CrossrefISIGoogle Scholar[46] Howard Stone, Dynamics of drop deformation and breakup in viscous fluids, Annual Reviews, Palo Alto, CA, 1994, 65–102 10.1146/annurev.fluid.26.1.65 1262134 CrossrefGoogle Scholar[47] B. J. Bentley and and L. G. Leal, An experimental investigation of drop deformation and breakup in steady, two‐dimensional linear flows, J. Fluid Mech., 167 (1986), pp. 241–283. jfl JFLSA7 0022-1120 J. Fluid Mech. CrossrefISIGoogle Scholar[48] Michael Siegel, Influence of surfactant on rounded and pointed bubbles in two‐dimensional Stokes flow, SIAM J. Appl. Math., 59 (1999), 1998–2027 10.1137/S0036139997327435 2000f:76130 LinkISIGoogle Scholar[49] M. Loewenberg and and E. J. Hinch, Numerical simulation of a concentrated emulsion in shear flow, J. Fluid Mech., 321 (1996), pp. 395–419. jfl JFLSA7 0022-1120 J. Fluid Mech. CrossrefISIGoogle Scholar[50] J. M. Rallison, A numerical study of the deformation and burst of a drop in general shear flows, J. Fluid Mech., 109 (1981), pp. 465–482. jfl JFLSA7 0022-1120 J. Fluid Mech. CrossrefISIGoogle Scholar[51] M. R. Kennedy, , C. Pozrikidis and , and R. Skalak, Motion and deformation of liquid drops and the rheology of dilute emulsions in simple flow, Comput. Fluids, 23 (1994), p. 251. cmf CPFLBI 0045-7930 Comput. Fluids CrossrefISIGoogle Scholar[52] H. A. Stone, , B. J. Bentley and , and L. G. Leal, An experimental study of transient effects in the breakup of viscous drops, J. Fluid Mech., 173 (1986), pp. 131–158. jfl JFLSA7 0022-1120 J. Fluid Mech. CrossrefISIGoogle Scholar[53] A. Khokhlov, Fully threaded tree algorithms for adaptive refinement fluid dynamics simulations, J. Comput. Phys., 143 (1998), 519–543 10.1006/jcph.1998.9998 1631200 CrossrefISIGoogle ScholarKeywordsvolume-of-fluid schemeinterface trackingsemi-implicit Stokes solvertwo-layer flowslow Reynolds number flows Previous article Next article FiguresRelatedReferencesCited ByDetails Application of Wireless Mesh Network in Interface Tracking Between Two Immiscible FluidsJournal of Nanofluids, Vol. 11, No. 3 | 1 Jun 2022 Cross Ref Investigation of local and temporal interfacial shear stress distribution during membrane emulsificationThe Canadian Journal of Chemical Engineering, Vol. 100, No. 5 | 4 June 2021 Cross Ref A C1 finite element method for axisymmetric lipid membranes in the presence of the Gaussian energyComputer Methods in Applied Mechanics and Engineering, Vol. 391 | 1 Mar 2022 Cross Ref Numerical simulation of interface tracking between two immiscible micropolar and dusty fluidsMaterials Today: Proceedings, Vol. 50 | 1 Jan 2022 Cross Ref Numerical Study of Interface Tracking for the Unsteady Flow of Two Immiscible Micropolar and Newtonian Fluids Through a Horizontal Channel with an Unstable InterfaceJournal of Nanofluids, Vol. 10, No. 4 | 1 Dec 2021 Cross Ref Characterization of dissimilar liquids mixing in T-junction and offset T-junction microchannelsProceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, Vol. 235, No. 6 | 4 May 2021 Cross Ref Phase-field modeling of multicomponent and multiphase flows in microfluidic systems: a reviewInternational Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31, No. 10 | 10 August 2020 Cross Ref A coupled SPH–FVM method for simulating incompressible interfacial flows with large density differenceEngineering Analysis with Boundary Elements, Vol. 128 | 1 Jul 2021 Cross Ref A CFD study on horizontal oil-water flow with high viscosity ratioChemical Engineering Science, Vol. 229 | 1 Jan 2021 Cross Ref Multi-phase fluid flow simulation by using peridynamic differential operatorOcean Engineering, Vol. 216 | 1 Nov 2020 Cross Ref Multi-layer flows of immiscible fractional Maxwell fluids in a cylindrical domainChinese Journal of Physics, Vol. 67 | 1 Oct 2020 Cross Ref An alternative phase-field interfacial tension force representation for binary fluid systemsPhysics of Fluids, Vol. 32, No. 10 | 1 Oct 2020 Cross Ref Finite amplitude instability in a two-fluid plane Poiseuille flowInternational Journal of Multiphase Flow, Vol. 123 | 1 Feb 2020 Cross Ref Two‐layer flows of generalized immiscible second grade fluids in a rectangular channelMathematical Methods in the Applied Sciences, Vol. 43, No. 3 | 4 December 2019 Cross Ref Stability of multiple emulsions under shear stressThe Canadian Journal of Chemical Engineering, Vol. 98, No. 1 | 27 August 2019 Cross Ref An immersed discontinuous finite element method for the Stokes problem with a moving interfaceJournal of Computational and Applied Mathematics, Vol. 362 | 1 Dec 2019 Cross Ref Front dynamics in exchange flow of two immiscible iso-viscous fluids in two-dimensional straight and curved plane channelsPhysics of Fluids, Vol. 31, No. 9 | 1 Sep 2019 Cross Ref Starting Poiseuille Flow in a Circular Tube With Two Immiscible FluidsJournal of Fluids Engineering, Vol. 141, No. 3 | 20 August 2018 Cross Ref Evaluating interfacial shear and strain stress during droplet deformation in micro-poresPhysics of Fluids, Vol. 31, No. 1 | 1 Jan 2019 Cross Ref Interfacial behaviour in two-fluid Taylor–Couette flowThe Quarterly Journal of Mechanics and Applied Mathematics, Vol. 71, No. 1 | 17 October 2017 Cross Ref Effect of pulse pressure on borehole stability during shear swirling flow vibration cementingPLOS ONE, Vol. 12, No. 11 | 16 November 2017 Cross Ref Water-lubricated transport of high-viscosity oil in horizontal pipes: The water holdup and pressure gradientInternational Journal of Multiphase Flow, Vol. 96 | 1 Nov 2017 Cross Ref Simulation of dispersed phase evolution for immiscible polymer blends in injection moldingEngineering Computations, Vol. 34, No. 7 | 2 Oct 2017 Cross Ref CFD simulation of horizontal oil-water flow with matched density and medium viscosity ratio in different flow regimesJournal of Petroleum Science and Engineering, Vol. 151 | 1 Mar 2017 Cross Ref Dynamics of Multi-Component Flows: Diffusive Interface Methods With Energetic Variational ApproachesReference Module in Materials Science and Materials Engineering | 1 Jan 2016 Cross Ref A phase-field fluid modeling and computation with interfacial profile correction termCommunications in Nonlinear Science and Numerical Simulation, Vol. 30, No. 1-3 | 1 Jan 2016 Cross Ref Decoupled energy stable schemes for phase-field vesicle membrane modelJournal of Computational Physics, Vol. 302 | 1 Dec 2015 Cross Ref Incipient mixing by Marangoni effects in slow viscous flow of two immiscible fluid layersIMA Journal of Applied Mathematics, Vol. 80, No. 5 | 9 May 2015 Cross Ref Effect of surfactant on two-layer channel flowJournal of Fluid Mechanics, Vol. 735 | 25 October 2013 Cross Ref Numerical simulation of the three-dimensional Rayleigh–Taylor instabilityComputers & Mathematics with Applications, Vol. 66, No. 8 | 1 Nov 2013 Cross Ref Second law analysis for Poiseuille flow of immiscible micropolar fluids in a channelInternational Journal of Heat and Mass Transfer, Vol. 65 | 1 Oct 2013 Cross Ref Microstructure and Morphology SimulationComputer Modeling for Injection Molding | 28 March 2013 Cross Ref Review on Applicable breakup/coalescence models in turbulent liquid-liquid flowsReviews in Chemical Engineering, Vol. 29, No. 3 | 1 Jan 2013 Cross Ref Phase-Field Models for Multi-Component Fluid FlowsCommunications in Computational Physics, Vol. 12, No. 3 | 20 August 2015 Cross Ref A comparison study of the Boussinesq and the variable density models on buoyancy-driven flowsJournal of Engineering Mathematics, Vol. 75, No. 1 | 7 October 2011 Cross Ref Mechanism of stability of the shear flow of a two-layer system of viscous liquidsDoklady Physical Chemistry, Vol. 440, No. 1 | 7 October 2011 Cross Ref BibliographyComputational Fluid Dynamics | 28 July 2011 Cross Ref On the long time simulation of the Rayleigh-Taylor instabilityInternational Journal for Numerical Methods in Engineering, Vol. 85, No. 13 | 28 September 2010 Cross Ref A Parallel Strategy for a Level Set Simulation of Droplets Moving in a Liquid MediumHigh Performance Computing for Computational Science – VECPAR 2010 | 1 Jan 2011 Cross Ref Influence of Interfacial Slip on Mechanical Adhesion of Immiscible PolymersJournal of Adhesion Science and Technology, Vol. 25, No. 12 | 2 April 2012 Cross Ref Linear and nonlinear instability waves in spatially developing two-phase mixing layersPhysics of Fluids, Vol. 22, No. 5 | 21 May 2010 Cross Ref CFD modelling of liquid–liquid multiphase microstructured reactor: Slug flow generationChemical Engineering Research and Design, Vol. 88, No. 3 | 1 Mar 2010 Cross Ref A Study on the Kelvin-Helmholtz Instability Using Two Different Computational Fluid Dynamics MethodsThe Journal of Computational Multiphase Flows, Vol. 2, No. 1 | 1 March 2010 Cross Ref Phase-field modelling for metals and colloids and nucleation therein—an overviewJournal of Physics: Condensed Matter, Vol. 21, No. 46 | 27 October 2009 Cross Ref FGMRES preconditioning by symmetric/skew-symmetric decomposition of generalized stokes problemsMathematics and Computers in Simulation, Vol. 79, No. 6 | 1 Feb 2009 Cross Ref Numerical simulation of bubble and droplet deformation by a level set approach with surface tension in three dimensionsInternational Journal for Numerical Methods in Fluids, Vol. 8 | 1 Jan 2009 Cross Ref Numerical simulation of gas driven waves in a liquid filmPhysics of Fluids, Vol. 20, No. 12 | 1 Dec 2008 Cross Ref Steady flow of ionic liquid through a cylindrical microfluidic contraction–expansion pipe: Electroviscous effects and pressure dropChemical Engineering Science, Vol. 63, No. 14 | 1 Jul 2008 Cross Ref Asymptotic Analysis of Phase Field Formulations of Bending Elasticity ModelsXiaoqiang WangSIAM Journal on Mathematical Analysis, Vol. 39, No. 5 | 9 January 2008AbstractPDF (423 KB)Advances of and by phase-field modelling in condensed-matter physicsAdvances in Physics, Vol. 57, No. 1 | 1 Jan 2008 Cross Ref Electroviscous effects in low Reynolds number liquid flow through a slit-like microfluidic contractionChemical Engineering Science, Vol. 62, No. 16 | 1 Aug 2007 Cross Ref Coalescence of droplets in viscoelastic matrix with diffuse interface under simple shear flowJournal of Polymer Science Part B: Polymer Physics, Vol. 45, No. 14 | 1 January 2007 Cross Ref A study on hydrodynamics and mass transfer of moving liquid layers using computation fluid dynamics17th European Symposium on Computer Aided Process Engineering | 1 Jan 2007 Cross Ref Numerical simulation of liquid/gas phase flow during mold fillingComputer Methods in Applied Mechanics and Engineering, Vol. 196, No. 1-3 | 1 Dec 2006 Cross Ref Development and implementation of VOF-PROST for 3D viscoelastic liquid–liquid simulationsJournal of Non-Newtonian Fluid Mechanics, Vol. 140, No. 1-3 | 1 Dec 2006 Cross Ref Pendant drop formation of shear-thinning and yield stress fluidsApplied Mathematical Modelling, Vol. 30, No. 11 | 1 Nov 2006 Cross Ref One time-step finite element discretization of the equation of motion of two-fluid flowsNumerical Methods for Partial Differential Equations, Vol. 22, No. 3 | 1 January 2006 Cross Ref Numerical simulation of a drop undergoing large amplitude oscillatory shearRheologica Acta, Vol. 45, No. 3 | 16 September 2005 Cross Ref Numerical simulation of two-phase free surface flowsArchives of Computational Methods in Engineering, Vol. 12, No. 2 | 1 Jun 2005 Cross Ref A phase field formulation of the Willmore problemNonlinearity, Vol. 18, No. 3 | 24 February 2005 Cross Ref Numerical simulation of free surface incompressible liquid flows surrounded by compressible gasJournal of Computational Physics, Vol. 203, No. 2 | 1 Mar 2005 Cross Ref A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactantJournal of Computational Physics, Vol. 201, No. 2 | 1 Dec 2004 Cross Ref Effects of Gravity, Shear and Surface Tension in Internal Condensing Flows: Results From Direct Computational SimulationsJournal of Heat Transfer, Vol. 126, No. 5 | 16 November 2004 Cross Ref A phase field approach in the numerical study of the elastic bending energy for vesicle membranesJournal of Computational Physics, Vol. 198, No. 2 | 1 Aug 2004 Cross Ref The effect of insoluble surfactant at dilute concentration on drop breakup under shear with inertiaPhysics of Fluids, Vol. 16, No. 1 | 1 Jan 2004 Cross Ref Direct Computational Simulations for Internal Condensing Flows and Results on Attainability/Stability of Steady Solutions, Their Intrinsic Waviness, and Their Noise SensitivityJournal of Applied Mechanics, Vol. 71, No. 1 | 17 March 2004 Cross Ref Inertia-induced breakup of highly viscous drops subjected to simple shearPhysics of Fluids, Vol. 15, No. 5 | 1 May 2003 Cross Ref PROST: A Parabolic Reconstruction of Surface Tension for the Volume-of-Fluid MethodJournal of Computational Physics, Vol. 183, No. 2 | 1 Dec 2002 Cross Ref Experimental observation and matching numerical simulation for the deformation and breakup of immiscible drops in oscillatory shearJournal of Rheology, Vol. 46, No. 5 | 1 Sep 2002 Cross Ref Drop fragment distributions under shear with inertiaInternational Journal of Multiphase Flow, Vol. 28, No. 7 | 1 Jul 2002 Cross Ref Scalings for fragments produced from drop breakup in shear flow with inertiaPhysics of Fluids, Vol. 13, No. 8 | 1 Aug 2001 Cross Ref An Energetic Variational Formulation with Phase Field Methods for Interfacial Dynamics of Complex Fluids: Advantages and ChallengesModeling of Soft Matter Cross Ref Volume 42, Issue 3| 2000SIAM Review367-552 History Published online:04 August 2006 InformationCopyright © 2000 Society for Industrial and Applied MathematicsKeywordsvolume-of-fluid schemeinterface trackingsemi-implicit Stokes solvertwo-layer flowslow Reynolds number flowsMSC codes76D0565-0276E05PDF Download Article & Publication DataArticle DOI:10.1137/S0036144599354604Article page range:pp. 417-439ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics
Referência(s)