메뉴 건너뛰기




Volumn 67, Issue 6, 2011, Pages 671-699

Incorporation of diffuse interface in smoothed particle hydrodynamics: Implementation of the scheme and case studies

Author keywords

Bubble evolution; Diffuse interface; Drop deformation; Parabolic flow; Shear flow; Smoothed particle hydrodynamics

Indexed keywords

BUBBLE EVOLUTION; DIFFUSE INTERFACE; DROP DEFORMATION; PARABOLIC FLOW; SMOOTHED PARTICLE HYDRODYNAMICS;

EID: 80053104936     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.2382     Document Type: Article
Times cited : (23)

References (88)
  • 2
  • 4
    • 34249806912 scopus 로고
    • Principia Generalia Theoriae Figurae Fluidorum
    • Gauss CF. Principia Generalia Theoriae Figurae Fluidorum. Werke 1830; 5:31.
    • (1830) Werke , vol.5 , pp. 31
    • Gauss, C.F.1
  • 5
    • 80053092359 scopus 로고
    • Nouvelle Théorie de l'action capillaire
    • Poisson SD. Nouvelle Théorie de l'action capillaire. Annalen der Physik 1832; 101(6):270-287.
    • (1832) Annalen der Physik , vol.101 , Issue.6 , pp. 270-287
    • Poisson, S.D.1
  • 6
    • 0002451791 scopus 로고
    • Capillary action
    • 9th edn). Encyclopedia Britannica Inc.: New York
    • Maxwell JC. Capillary action. Encyclopedia Britannica (9th edn). Encyclopedia Britannica Inc.: New York, 1876.
    • (1876) Encyclopedia Britannica
    • Maxwell, J.C.1
  • 8
    • 0001407145 scopus 로고
    • On the theory of surface forces-II Compressible fluids
    • Rayleigh L. On the theory of surface forces-II Compressible fluids. Philosophical Magazine 1892; 33:209-220.
    • (1892) Philosophical Magazine , vol.33 , pp. 209-220
    • Rayleigh, L.1
  • 10
    • 0001799940 scopus 로고
    • Sur la forme que prennent les équations du mouvements des fluides si l'on tient compte des forces capillaries causées par des variations de densité considérables mais continues et sur la théorie de la capillarité dans l'hypothése d'une variation continue de la densité
    • Korteweg DJ. Sur la forme que prennent les équations du mouvements des fluides si l'on tient compte des forces capillaries causées par des variations de densité considérables mais continues et sur la théorie de la capillarité dans l'hypothése d'une variation continue de la densité. Archives Néerlandaises des Sciences Exactes et Naturelles Series II 1901; 6:1-24.
    • (1901) Archives Néerlandaises des Sciences Exactes et Naturelles Series II , vol.6 , pp. 1-24
    • Korteweg, D.J.1
  • 11
    • 0004168443 scopus 로고
    • Cambridge University Press: Cambridge
    • Lamb H. Hydrodynamics. Cambridge University Press: Cambridge, 1932.
    • (1932) Hydrodynamics
    • Lamb, H.1
  • 14
    • 0001093433 scopus 로고
    • In, van Dooren AI, Zandbergen PJ (eds), Lecture Notes in Physics, Springer: New York
    • Noh WF, Woodward P. In SLIC (Simple Line Interface Calculation), van Dooren AI, Zandbergen PJ (eds), Lecture Notes in Physics, vol. 59. Springer: New York, 1976; 330-340.
    • (1976) SLIC (Simple Line Interface Calculation) , vol.59 , pp. 330-340
    • Noh, W.F.1    Woodward, P.2
  • 15
    • 0019367877 scopus 로고
    • Volume of fluid (VOF) methods for the dynamics of free boundaries
    • Hirt CW, Nichols BD. Volume of fluid (VOF) methods for the dynamics of free boundaries. Journal of Computational Physics 1981; 39:201-255.
    • (1981) Journal of Computational Physics , vol.39 , pp. 201-255
    • Hirt, C.W.1    Nichols, B.D.2
  • 18
    • 0000163297 scopus 로고
    • Computations of three-dimensional Rayleigh-Taylor instability
    • Tryggvason G, Unverdi SO. Computations of three-dimensional Rayleigh-Taylor instability. Physics of Fluids A 1990; 2:656-659.
    • (1990) Physics of Fluids A , vol.2 , pp. 656-659
    • Tryggvason, G.1    Unverdi, S.O.2
  • 20
    • 0242628999 scopus 로고    scopus 로고
    • Computations of drop dynamics with the immersed boundary method, part 2: drop impact and heat transfer
    • Francois M, Shyy W. Computations of drop dynamics with the immersed boundary method, part 2: drop impact and heat transfer. Numerical Heat Transfer Part B 2003; 44(2):119-143.
    • (2003) Numerical Heat Transfer Part B , vol.44 , Issue.2 , pp. 119-143
    • Francois, M.1    Shyy, W.2
  • 21
    • 67649472402 scopus 로고    scopus 로고
    • An accurate adaptive solver for surface-tension-driven interfacial flows
    • Popinet S. An accurate adaptive solver for surface-tension-driven interfacial flows. Journal of Computational Physics 2009; 228:5838-5866.
    • (2009) Journal of Computational Physics , vol.228 , pp. 5838-5866
    • Popinet, S.1
  • 22
  • 23
    • 33745833380 scopus 로고    scopus 로고
    • Liquid moment amplitude assessment in sloshing type problems with smooth particle hydrodynamics
    • Souto Iglesias A, Delorme L, Perez-Rojas L, Abril-Perez S. Liquid moment amplitude assessment in sloshing type problems with smooth particle hydrodynamics. Ocean Engineering 2006; 33:1462-1484.
    • (2006) Ocean Engineering , vol.33 , pp. 1462-1484
    • Souto Iglesias, A.1    Delorme, L.2    Perez-Rojas, L.3    Abril-Perez, S.4
  • 24
    • 85087193182 scopus 로고    scopus 로고
    • Application of 3D smoothed particle hydrodynamics to a shock tube flow: effect and control of particle distribution. Proceedings of the 17th AIAA Computational Fluid Dynamics Conference, Toronto, Canada, 6-9 June 2005.
    • Lastiwka M, Basa M, Quinlan N. Application of 3D smoothed particle hydrodynamics to a shock tube flow: effect and control of particle distribution. Proceedings of the 17th AIAA Computational Fluid Dynamics Conference, Toronto, Canada, 6-9 June 2005.
    • Lastiwka, M.1    Basa, M.2    Quinlan, N.3
  • 25
    • 0001364855 scopus 로고
    • Numerical simulation of viscous flow by smoothed particle hydrodynamics
    • Takeda H, Miyama SM, Sekiya M. Numerical simulation of viscous flow by smoothed particle hydrodynamics. Progress of Theoretical Physics 1994; 92:939-960.
    • (1994) Progress of Theoretical Physics , vol.92 , pp. 939-960
    • Takeda, H.1    Miyama, S.M.2    Sekiya, M.3
  • 26
    • 80053099348 scopus 로고    scopus 로고
    • Smoothed particle hydrodynamics with strength of materials. Proceedings of the Next Free Lagrange Method Conference, Jackson Hole, U.S.A., June 1990.
    • Libersky LD, Petscheck AG. Smoothed particle hydrodynamics with strength of materials. Proceedings of the Next Free Lagrange Method Conference, Jackson Hole, U.S.A., June 1990.
    • Libersky, L.D.1    Petscheck, A.G.2
  • 27
    • 80053129256 scopus 로고    scopus 로고
    • Smoothed-particle hydrodynamics and nonequilibrium molecular dynamics. Annual Winter Meeting of the ASME, New Orleans, LA, 1993.
    • Hoover WG, Hoover CG. Smoothed-particle hydrodynamics and nonequilibrium molecular dynamics. Annual Winter Meeting of the ASME, New Orleans, LA, 1993.
    • Hoover, W.G.1    Hoover, C.G.2
  • 28
    • 0031237355 scopus 로고    scopus 로고
    • Modeling low Reynolds number incompressible flows using SPH
    • Morris JP, Fox JP, Yi Z. Modeling low Reynolds number incompressible flows using SPH. Journal of Computational Physics 1997; 136:214-226.
    • (1997) Journal of Computational Physics , vol.136 , pp. 214-226
    • Morris, J.P.1    Fox, J.P.2    Yi, Z.3
  • 29
    • 0242362572 scopus 로고    scopus 로고
    • Numerical simulation of interfacial flows by smoothed particle hydrodynamics
    • Colagrossi A, Landrini M. Numerical simulation of interfacial flows by smoothed particle hydrodynamics. Journal of Computational Physics 2003; 191:448-475.
    • (2003) Journal of Computational Physics , vol.191 , pp. 448-475
    • Colagrossi, A.1    Landrini, M.2
  • 30
    • 27244441013 scopus 로고    scopus 로고
    • Modeling of surface tension and contact angles with smoothed particle hydrodynamics
    • 026301.1-026301.9.
    • Tartakovsky A, Meakin P. Modeling of surface tension and contact angles with smoothed particle hydrodynamics. Physical Review 2005; 72:026301.1-026301.9.
    • (2005) Physical Review , vol.72
    • Tartakovsky, A.1    Meakin, P.2
  • 31
    • 0033121923 scopus 로고    scopus 로고
    • An improvement for tensile instability in smoothed particle hydrodynamics
    • Chen JK, Beraun JE, Jih CJ. An improvement for tensile instability in smoothed particle hydrodynamics. Computational Mechanics 1999; 23:279-287.
    • (1999) Computational Mechanics , vol.23 , pp. 279-287
    • Chen, J.K.1    Beraun, J.E.2    Jih, C.J.3
  • 32
    • 59149085449 scopus 로고    scopus 로고
    • A constant-density approach for incompressible multi-phase SPH
    • Hu XY, Adams NA. A constant-density approach for incompressible multi-phase SPH. Journal of Computational Physics 2009; 228:2082-2091.
    • (2009) Journal of Computational Physics , vol.228 , pp. 2082-2091
    • Hu, X.Y.1    Adams, N.A.2
  • 36
    • 34247560717 scopus 로고    scopus 로고
    • Inertial effects in droplet spreading: a comparison between diffuse-interface and level-set simulations
    • Ding H, Spelt PDM. Inertial effects in droplet spreading: a comparison between diffuse-interface and level-set simulations. Journal of Fluid Mechanics 2007; 576:287-296.
    • (2007) Journal of Fluid Mechanics , vol.576 , pp. 287-296
    • Ding, H.1    Spelt, P.D.M.2
  • 37
    • 33746012315 scopus 로고
    • Free energy of a non uniform system. I. Interfacial free energy
    • Cahn JW, Hilliard JE. Free energy of a non uniform system. I. Interfacial free energy. Journal of Chemical Physics 1958; 28:258-267.
    • (1958) Journal of Chemical Physics , vol.28 , pp. 258-267
    • Cahn, J.W.1    Hilliard, J.E.2
  • 38
    • 0029106255 scopus 로고
    • A phase field model of capillarity
    • Antanovskii LK. A phase field model of capillarity. Physics of Fluids 1995; 7:747-753.
    • (1995) Physics of Fluids , vol.7 , pp. 747-753
    • Antanovskii, L.K.1
  • 39
    • 0033909679 scopus 로고    scopus 로고
    • Contact-line dynamics of a diffuse fluid interface
    • Jacqmin D. Contact-line dynamics of a diffuse fluid interface. Journal of Fluid Mechanics 2000; 402:57-88.
    • (2000) Journal of Fluid Mechanics , vol.402 , pp. 57-88
    • Jacqmin, D.1
  • 40
    • 0037880420 scopus 로고    scopus 로고
    • A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
    • Liu C, Shen J. A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method. Physica D 2003; 179:211-228.
    • (2003) Physica D , vol.179 , pp. 211-228
    • Liu, C.1    Shen, J.2
  • 41
    • 5444256136 scopus 로고    scopus 로고
    • A diffuse interface method for simulating two phase flows of complex fluids
    • Yue P, Feng JJ, Liu C, Shen J. A diffuse interface method for simulating two phase flows of complex fluids. Journal of Fluid Mechanics 2004; 515:293-317.
    • (2004) Journal of Fluid Mechanics , vol.515 , pp. 293-317
    • Yue, P.1    Feng, J.J.2    Liu, C.3    Shen, J.4
  • 42
    • 33750324569 scopus 로고    scopus 로고
    • Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite element with adaptive meshing
    • Yue P, Zhou C, Feng JJ, Ollivier-Gooch CF, Hu HH. Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite element with adaptive meshing. Journal of Computational Physics 2006; 219:47-67.
    • (2006) Journal of Computational Physics , vol.219 , pp. 47-67
    • Yue, P.1    Zhou, C.2    Feng, J.J.3    Ollivier-Gooch, C.F.4    Hu, H.H.5
  • 46
    • 63649087790 scopus 로고    scopus 로고
    • Diffuse-interface modelling for smoothed particle hydrodynamics
    • Xu Z, Meakin P, Tartakovsky AM. Diffuse-interface modelling for smoothed particle hydrodynamics. Physical Review E 2009; 79:036702.1-036702.7.
    • (2009) Physical Review E , vol.79 , pp. 0367021-0367027
    • Xu, Z.1    Meakin, P.2    Tartakovsky, A.M.3
  • 50
    • 80053124403 scopus 로고    scopus 로고
    • Smoothed particle hydrodynamics: a review. NATO Workshop, Les, Arcs, France, 1989.
    • Benz W. Smoothed particle hydrodynamics: a review. NATO Workshop, Les, Arcs, France, 1989.
    • Benz, W.1
  • 51
    • 27744534674 scopus 로고    scopus 로고
    • Modeling incompressible flows using a finite particle method
    • Liu MB, Xie WP, Liu GR. Modeling incompressible flows using a finite particle method. Applied Mathematical Modeling 2005; 29:1252-1270.
    • (2005) Applied Mathematical Modeling , vol.29 , pp. 1252-1270
    • Liu, M.B.1    Xie, W.P.2    Liu, G.R.3
  • 52
    • 0036877437 scopus 로고    scopus 로고
    • Investigations into water mitigations using a meshless particle method
    • Liu MB, Liu GR, Lam KY. Investigations into water mitigations using a meshless particle method. Shock Waves 2002; 12(3):181-195.
    • (2002) Shock Waves , vol.12 , Issue.3 , pp. 181-195
    • Liu, M.B.1    Liu, G.R.2    Lam, K.Y.3
  • 53
    • 64049093905 scopus 로고    scopus 로고
    • Bubble evolution through submerged orifice using smoothed particle hydrodynamics: basic formulation and model validation
    • Das AK, Das PK. Bubble evolution through submerged orifice using smoothed particle hydrodynamics: basic formulation and model validation. Chemical Engineering Science 2009; 64:2281-2290.
    • (2009) Chemical Engineering Science , vol.64 , pp. 2281-2290
    • Das, A.K.1    Das, P.K.2
  • 54
    • 0000553356 scopus 로고
    • The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density
    • Van der Waals JD. The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density. Zeitschrift für Physikalische Chemie 1894; 13:657-725.
    • (1894) Zeitschrift für Physikalische Chemie , vol.13 , pp. 657-725
    • Van der Waals, J.D.1
  • 55
    • 43449102981 scopus 로고
    • On spinodal decomposition
    • Cahn JW. On spinodal decomposition. Acta Metallurgica 1961; 9:795-801.
    • (1961) Acta Metallurgica , vol.9 , pp. 795-801
    • Cahn, J.W.1
  • 56
    • 37649032001 scopus 로고    scopus 로고
    • Diffuse-interface effects near a cusp singularity on a free surface
    • 051604.1-051604.9.
    • Pismen LM. Diffuse-interface effects near a cusp singularity on a free surface. Physical Review E 2004; 70:051604.1-051604.9.
    • (2004) Physical Review E , vol.70
    • Pismen, L.M.1
  • 57
    • 76649133427 scopus 로고    scopus 로고
    • Simulating two phase viscoelastic flows using moving finite element methods
    • Zhang Y, Wang H, Tang T. Simulating two phase viscoelastic flows using moving finite element methods. Communications in Computational Physics 2010; 7(2):333-349.
    • (2010) Communications in Computational Physics , vol.7 , Issue.2 , pp. 333-349
    • Zhang, Y.1    Wang, H.2    Tang, T.3
  • 58
    • 84984082663 scopus 로고
    • Formation of gas bubbles at horizontal orifices
    • Davidson L, Amick E. Formation of gas bubbles at horizontal orifices. AIChE Journal 1956; 2(3):337-342.
    • (1956) AIChE Journal , vol.2 , Issue.3 , pp. 337-342
    • Davidson, L.1    Amick, E.2
  • 61
    • 0027676132 scopus 로고
    • Bubble formation under constant flow conditions
    • Terasaka K, Tsuge H. Bubble formation under constant flow conditions. Chemical Engineering Science 1993; 48(19):3417-3422.
    • (1993) Chemical Engineering Science , vol.48 , Issue.19 , pp. 3417-3422
    • Terasaka, K.1    Tsuge, H.2
  • 62
    • 0142126318 scopus 로고    scopus 로고
    • Bubble formation at multiple orifices bubbling synchronicity and frequency
    • Xie S, Tan RBH. Bubble formation at multiple orifices bubbling synchronicity and frequency. Chemical Engineering Science 2003; 58(20):4639-4647.
    • (2003) Chemical Engineering Science , vol.58 , Issue.20 , pp. 4639-4647
    • Xie, S.1    Tan, R.B.H.2
  • 63
    • 0016872614 scopus 로고
    • A theoretical model for bubble formation at an orifice submerged in an inviscid liquid
    • Marmur A, Rubin E. A theoretical model for bubble formation at an orifice submerged in an inviscid liquid. Chemical Engineering Science 1976; 31:453-463.
    • (1976) Chemical Engineering Science , vol.31 , pp. 453-463
    • Marmur, A.1    Rubin, E.2
  • 65
    • 0022873488 scopus 로고
    • A model for non-spherical bubble growth at a single orifice
    • Tan RBH, Harris IJ. A model for non-spherical bubble growth at a single orifice. Chemical Engineering Science 1986; 41(12):3128-3182.
    • (1986) Chemical Engineering Science , vol.41 , Issue.12 , pp. 3128-3182
    • Tan, R.B.H.1    Harris, I.J.2
  • 66
    • 23844523510 scopus 로고    scopus 로고
    • Bubble formation and bubble rise velocity in gas liquid systems: a review
    • Kulkarni AA, Joshi JB. Bubble formation and bubble rise velocity in gas liquid systems: a review. Industrial Engineering Chemical Research 2005; 44:5873-5931.
    • (2005) Industrial Engineering Chemical Research , vol.44 , pp. 5873-5931
    • Kulkarni, A.A.1    Joshi, J.B.2
  • 67
    • 0027391136 scopus 로고
    • Dynamics of bubble growth and detachment from a needle
    • Oguz H, Prosperetti A. Dynamics of bubble growth and detachment from a needle. Journal of Fluid Mechanics 1993; 257:111-145.
    • (1993) Journal of Fluid Mechanics , vol.257 , pp. 111-145
    • Oguz, H.1    Prosperetti, A.2
  • 68
    • 0032501943 scopus 로고    scopus 로고
    • Theory and experiment on the low-Reynolds-number expansion and contraction of a bubble pinned at a submerged tube tip
    • Wong H, Rumschitzki D, Maldarelli C. Theory and experiment on the low-Reynolds-number expansion and contraction of a bubble pinned at a submerged tube tip. Journal of Fluid Mechanics 1998; 356:93-124.
    • (1998) Journal of Fluid Mechanics , vol.356 , pp. 93-124
    • Wong, H.1    Rumschitzki, D.2    Maldarelli, C.3
  • 69
    • 19744367785 scopus 로고    scopus 로고
    • Injection and coalescence of bubbles in a very viscous liquid
    • Higuera F. Injection and coalescence of bubbles in a very viscous liquid. Journal of Fluid Mechanics 2005; 530:369-378.
    • (2005) Journal of Fluid Mechanics , vol.530 , pp. 369-378
    • Higuera, F.1
  • 71
    • 36148958626 scopus 로고    scopus 로고
    • Numerical simulation of bubble formation on submerged orifices: period-1 and period-2 bubbling regimes
    • Buwa VV, Gerlach D, Durst F, Schlucker E. Numerical simulation of bubble formation on submerged orifices: period-1 and period-2 bubbling regimes. Chemical Engineering Science 2007; 62:7119-7132.
    • (2007) Chemical Engineering Science , vol.62 , pp. 7119-7132
    • Buwa, V.V.1    Gerlach, D.2    Durst, F.3    Schlucker, E.4
  • 72
    • 33847114822 scopus 로고    scopus 로고
    • Numerical simulation of periodic bubble formation at submerged orifices under constant inflow conditions
    • Gerlach D, Alleborn N, Buwa V, Durst F. Numerical simulation of periodic bubble formation at submerged orifices under constant inflow conditions. Chemical Engineering Science 2007; 62:2109-2125.
    • (2007) Chemical Engineering Science , vol.62 , pp. 2109-2125
    • Gerlach, D.1    Alleborn, N.2    Buwa, V.3    Durst, F.4
  • 73
    • 0035921771 scopus 로고    scopus 로고
    • Aperiodic bubble formation from a submerged orifice
    • Zhang L, Shoji M. Aperiodic bubble formation from a submerged orifice. Chemical Engineering Science 2001; 56:5371-5381.
    • (2001) Chemical Engineering Science , vol.56 , pp. 5371-5381
    • Zhang, L.1    Shoji, M.2
  • 74
    • 0001290713 scopus 로고
    • Regimes of bubbling at a submerged orifice
    • McCann D, Prince R. Regimes of bubbling at a submerged orifice. Chemical Engineering Science 1971; 26:1505-1512.
    • (1971) Chemical Engineering Science , vol.26 , pp. 1505-1512
    • McCann, D.1    Prince, R.2
  • 75
  • 76
    • 0022736338 scopus 로고
    • An experimental investigation of drop deformation and breakup in steady, two-dimensional linear flows
    • Bentley BJ, Leal LG. An experimental investigation of drop deformation and breakup in steady, two-dimensional linear flows. Journal of Fluid Mechanics 1986; 167:241-283.
    • (1986) Journal of Fluid Mechanics , vol.167 , pp. 241-283
    • Bentley, B.J.1    Leal, L.G.2
  • 77
    • 0030207760 scopus 로고    scopus 로고
    • Numerical simulation of a concentrated emulsion in shear flow
    • Loewenberg M, Hinch EJ. Numerical simulation of a concentrated emulsion in shear flow. Journal of Fluid Mechanics 1996; 321:395-419.
    • (1996) Journal of Fluid Mechanics , vol.321 , pp. 395-419
    • Loewenberg, M.1    Hinch, E.J.2
  • 78
    • 0037032697 scopus 로고    scopus 로고
    • Effects of matrix viscoelasticity on drop deformation in dilute polymer blends under slow shear flow
    • Guido S, Simeone M, Greco F. Effects of matrix viscoelasticity on drop deformation in dilute polymer blends under slow shear flow. Polymer 2003; 44:467-471.
    • (2003) Polymer , vol.44 , pp. 467-471
    • Guido, S.1    Simeone, M.2    Greco, F.3
  • 79
    • 0034077402 scopus 로고    scopus 로고
    • Numerical simulation of breakup of a viscous drop in simple shear flow through a volume-of-fluid method
    • Li J, Renardy YY, Renardy M. Numerical simulation of breakup of a viscous drop in simple shear flow through a volume-of-fluid method. Physics of Fluids 2000; 12(2):269-282.
    • (2000) Physics of Fluids , vol.12 , Issue.2 , pp. 269-282
    • Li, J.1    Renardy, Y.Y.2    Renardy, M.3
  • 80
    • 0034746256 scopus 로고    scopus 로고
    • Effect of inertia on drop breakup under shear
    • Renardy YY, Cristini V. Effect of inertia on drop breakup under shear. Physics of Fluids 2001; 13(1):7-13.
    • (2001) Physics of Fluids , vol.13 , Issue.1 , pp. 7-13
    • Renardy, Y.Y.1    Cristini, V.2
  • 82
    • 0023089336 scopus 로고
    • An experimental study of the lateral migration of a droplet in a creeping flow
    • Hiller W, Kowalewski TA. An experimental study of the lateral migration of a droplet in a creeping flow. Experiments in Fluids 1987; 5:43-48.
    • (1987) Experiments in Fluids , vol.5 , pp. 43-48
    • Hiller, W.1    Kowalewski, T.A.2
  • 83
    • 45549119181 scopus 로고
    • Low Reynolds number motion of a droplet between two parallel plates
    • Shapira M, Haber S. Low Reynolds number motion of a droplet between two parallel plates. International Journal of Multiphase Flow 1988; 14:483-506.
    • (1988) International Journal of Multiphase Flow , vol.14 , pp. 483-506
    • Shapira, M.1    Haber, S.2
  • 84
    • 0032025536 scopus 로고    scopus 로고
    • Motion of an array of drops through a cylindrical tube
    • Couillette C, Pozrikidis C. Motion of an array of drops through a cylindrical tube. Journal of Fluid Mechanics 1998; 358:1-28.
    • (1998) Journal of Fluid Mechanics , vol.358 , pp. 1-28
    • Couillette, C.1    Pozrikidis, C.2
  • 85
    • 0000293075 scopus 로고    scopus 로고
    • Pore-scale prototypes of multiphase flow in porous media
    • Olbricht WL. Pore-scale prototypes of multiphase flow in porous media. Annual Review of Fluid Mechanics 1996; 28:187-213.
    • (1996) Annual Review of Fluid Mechanics , vol.28 , pp. 187-213
    • Olbricht, W.L.1
  • 86
    • 0033913185 scopus 로고    scopus 로고
    • A numerical study of the motion of drops in Poiseuille flow. Part 1. Lateral migration of one drop
    • Mortazavi S, Tryggvason G. A numerical study of the motion of drops in Poiseuille flow. Part 1. Lateral migration of one drop. Journal of Fluid Mechanics 2000; 411:325-350.
    • (2000) Journal of Fluid Mechanics , vol.411 , pp. 325-350
    • Mortazavi, S.1    Tryggvason, G.2
  • 87
    • 0035861629 scopus 로고    scopus 로고
    • Slow motion of droplet between two parallel plane walls
    • Keh HJ, Chen PY. Slow motion of droplet between two parallel plane walls. Chemical Engineering Science 2001; 56:6863-6871.
    • (2001) Chemical Engineering Science , vol.56 , pp. 6863-6871
    • Keh, H.J.1    Chen, P.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.