메뉴 건너뛰기




Volumn 39, Issue 5, 2010, Pages 768-779

Lattice Boltzmann simulation of viscous fingering phenomenon of immiscible fluids displacement in a channel

Author keywords

Immiscible fluids displacement; Interface; LBM; Viscous fingering phenomenon

Indexed keywords

BOND NUMBERS; CAPILLARY NUMBERS; FINGER FORMATION; IMMISCIBLE DISPLACEMENT; IMMISCIBLE FLUIDS; INTERFACE EVOLUTION; LATTICE BOLTZMANN SIMULATIONS; LATTICE-BOLTZMANN METHOD; MESOSCOPICS; NUMERICAL RESULTS; ON FLOW; PHYSICAL MECHANISM; RELATIVE IMPORTANCE; VISCOSITY RATIOS; VISCOUS FINGERING; VISCOUS FORCES;

EID: 76949088393     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2009.12.005     Document Type: Article
Times cited : (73)

References (57)
  • 1
    • 0001628758 scopus 로고
    • Interfacial stability of immiscible displacement in a porous medium
    • Stokes J.P., Weitz D.A., Gollub J.P., et al. Interfacial stability of immiscible displacement in a porous medium. Phys Rev Lett 57 (1986) 1718-1721
    • (1986) Phys Rev Lett , vol.57 , pp. 1718-1721
    • Stokes, J.P.1    Weitz, D.A.2    Gollub, J.P.3
  • 4
    • 41349096202 scopus 로고    scopus 로고
    • Fluctuations in viscous fingering
    • Moore M.G., Juel A., Burgess J.M., et al. Fluctuations in viscous fingering. Phys Rev E 65 (2002) 0306011-0306014
    • (2002) Phys Rev E , vol.65 , pp. 0306011-0306014
    • Moore, M.G.1    Juel, A.2    Burgess, J.M.3
  • 5
    • 23944507034 scopus 로고    scopus 로고
    • Influence of pore-scale disorder on viscous fingering during drainage
    • Toussaint R., Løvoll G., Méheust Y., et al. Influence of pore-scale disorder on viscous fingering during drainage. Europhys Lett 71 (2005) 583-589
    • (2005) Europhys Lett , vol.71 , pp. 583-589
    • Toussaint, R.1    Løvoll, G.2    Méheust, Y.3
  • 6
    • 20444397774 scopus 로고    scopus 로고
    • Experimental investigation of self-induced thermocapillary convection for an evaporating meniscus in capillary tubes using micro-particle image velocimetry
    • Buffone C., Sefiane K., and Christy J.R.E. Experimental investigation of self-induced thermocapillary convection for an evaporating meniscus in capillary tubes using micro-particle image velocimetry. Phys Fluids 17 (2005) 052104-052118
    • (2005) Phys Fluids , vol.17 , pp. 052104-052118
    • Buffone, C.1    Sefiane, K.2    Christy, J.R.E.3
  • 7
    • 0023289295 scopus 로고
    • Pore-scale difference between miscible and immiscible viscous fingering in porous media
    • Jing-Den C. Pore-scale difference between miscible and immiscible viscous fingering in porous media. AIChE J 33 (1987) 307-311
    • (1987) AIChE J , vol.33 , pp. 307-311
    • Jing-Den, C.1
  • 8
    • 0026868699 scopus 로고
    • Observations and correlations for immiscible viscous-fingering experiments
    • Pavone D. Observations and correlations for immiscible viscous-fingering experiments. SPE Reservoir Eng 7 (1992) 187-194
    • (1992) SPE Reservoir Eng , vol.7 , pp. 187-194
    • Pavone, D.1
  • 9
    • 0022059386 scopus 로고
    • Finger-interaction mechanisms in stratified Hele-Shaw flow
    • Tryggvason G., and Aref H. Finger-interaction mechanisms in stratified Hele-Shaw flow. J Fluid Mech 154 (1985) 287-301
    • (1985) J Fluid Mech , vol.154 , pp. 287-301
    • Tryggvason, G.1    Aref, H.2
  • 10
    • 0022681535 scopus 로고
    • A boundary-integral method for two-phase displacement in Hele-Shaw cells
    • Degregoria A.J., and Schwartz L.W. A boundary-integral method for two-phase displacement in Hele-Shaw cells. J Fluid Mech 164 (1986) 383-400
    • (1986) J Fluid Mech , vol.164 , pp. 383-400
    • Degregoria, A.J.1    Schwartz, L.W.2
  • 11
    • 0037360014 scopus 로고    scopus 로고
    • Viscous fingering in a Hele-Shaw cell with finite viscosity ratio and interfacial tension
    • Guan X., and Pitchumani R. Viscous fingering in a Hele-Shaw cell with finite viscosity ratio and interfacial tension. J Fluids Eng 125 (2003) 354-364
    • (2003) J Fluids Eng , vol.125 , pp. 354-364
    • Guan, X.1    Pitchumani, R.2
  • 12
    • 33745451794 scopus 로고    scopus 로고
    • Fingering instability in water-oil displacement
    • Brailovsky I., Babchin A., Frankel M., et al. Fingering instability in water-oil displacement. Transp Porous Media 63 (2006) 363-380
    • (2006) Transp Porous Media , vol.63 , pp. 363-380
    • Brailovsky, I.1    Babchin, A.2    Frankel, M.3
  • 13
    • 33645686970 scopus 로고    scopus 로고
    • Numerical simulation of immiscible two-phase flow in porous media
    • Riaz A., and Tchelepi H.A. Numerical simulation of immiscible two-phase flow in porous media. Phys Fluids 18 (2006) 014104-014112
    • (2006) Phys Fluids , vol.18 , pp. 014104-014112
    • Riaz, A.1    Tchelepi, H.A.2
  • 14
    • 22544479143 scopus 로고    scopus 로고
    • Linear stability analysis of immiscible two-phase flow in porous media with capillary dispersion and density variation
    • Riaz A., and Tchelepi H.A. Linear stability analysis of immiscible two-phase flow in porous media with capillary dispersion and density variation. Phys Fluids 16 (2004) 4727-4737
    • (2004) Phys Fluids , vol.16 , pp. 4727-4737
    • Riaz, A.1    Tchelepi, H.A.2
  • 15
    • 0000469966 scopus 로고
    • Pore-scale viscous fingering in porous media
    • Chen J.-D., and Wilkinson D. Pore-scale viscous fingering in porous media. Phys Rev Lett 55 (1985) 1892-1895
    • (1985) Phys Rev Lett , vol.55 , pp. 1892-1895
    • Chen, J.-D.1    Wilkinson, D.2
  • 16
    • 0037087997 scopus 로고    scopus 로고
    • Lattice Boltzmann simulation of the flow of binary immiscible fluids with different viscosities using the Shan-Chen microscopic interaction model
    • Chin J., Boek E.S., and Coveney P.V. Lattice Boltzmann simulation of the flow of binary immiscible fluids with different viscosities using the Shan-Chen microscopic interaction model. Philos Trans Math Phys Eng Sci 360 (2002) 547-558
    • (2002) Philos Trans Math Phys Eng Sci , vol.360 , pp. 547-558
    • Chin, J.1    Boek, E.S.2    Coveney, P.V.3
  • 17
    • 3843140350 scopus 로고    scopus 로고
    • Structural and dynamical characterization of Hele-Shaw viscous fingering
    • Grosfils P., Boon J.P., Chin J., et al. Structural and dynamical characterization of Hele-Shaw viscous fingering. Philos Trans Math Phys Eng Sci 362 (2004) 1723-1734
    • (2004) Philos Trans Math Phys Eng Sci , vol.362 , pp. 1723-1734
    • Grosfils, P.1    Boon, J.P.2    Chin, J.3
  • 18
    • 0348134616 scopus 로고    scopus 로고
    • Immiscible displacement in a channel: simulations of fingering in two dimensions
    • Kang Q., Zhang D., and Chen S. Immiscible displacement in a channel: simulations of fingering in two dimensions. Adv Water Resour 27 (2004) 13-22
    • (2004) Adv Water Resour , vol.27 , pp. 13-22
    • Kang, Q.1    Zhang, D.2    Chen, S.3
  • 20
    • 1542471855 scopus 로고    scopus 로고
    • Lattice Boltzmann method for fluid flows
    • Chen S., and Doolen G.D. Lattice Boltzmann method for fluid flows. Annu Rev Fluid Mech 30 (1998) 329-364
    • (1998) Annu Rev Fluid Mech , vol.30 , pp. 329-364
    • Chen, S.1    Doolen, G.D.2
  • 21
    • 4243307948 scopus 로고
    • Lattice Boltzmann model of immiscible fluids
    • Gunstensen A.K., and Rothman D.H. Lattice Boltzmann model of immiscible fluids. Phys Rev A 43 (1991) 4320-4327
    • (1991) Phys Rev A , vol.43 , pp. 4320-4327
    • Gunstensen, A.K.1    Rothman, D.H.2
  • 22
    • 36449006585 scopus 로고
    • A lattice Boltzmann model for multiphase fluid flows
    • Grunau D., Chen S., and Eggert K. A lattice Boltzmann model for multiphase fluid flows. Phys Rev A 5 (1993) 2557-2562
    • (1993) Phys Rev A , vol.5 , pp. 2557-2562
    • Grunau, D.1    Chen, S.2    Eggert, K.3
  • 23
    • 26944441187 scopus 로고    scopus 로고
    • Diffusion properties of gradient-based lattice Boltzmann models of immiscible fluids
    • Latva-Kokko M., and Rothman D.H. Diffusion properties of gradient-based lattice Boltzmann models of immiscible fluids. Phys Rev E 71 (2005) 056702-056708
    • (2005) Phys Rev E , vol.71 , pp. 056702-056708
    • Latva-Kokko, M.1    Rothman, D.H.2
  • 24
    • 34548832432 scopus 로고    scopus 로고
    • Lattice Boltzmann model for simulating immiscible two-phase flows
    • Reis T., and Phillips T.N. Lattice Boltzmann model for simulating immiscible two-phase flows. J Phys A 40 (2007) 4033-4053
    • (2007) J Phys A , vol.40 , pp. 4033-4053
    • Reis, T.1    Phillips, T.N.2
  • 25
    • 24844466239 scopus 로고
    • Lattice Boltzmann model for simulating flows with multiple phases and components
    • Shan X., and Chen H. Lattice Boltzmann model for simulating flows with multiple phases and components. Phys Rev E 47 (1993) 1815-1819
    • (1993) Phys Rev E , vol.47 , pp. 1815-1819
    • Shan, X.1    Chen, H.2
  • 26
    • 21844513027 scopus 로고
    • Multicomponent lattice-Boltzmann model with interparticle interaction
    • Shan X., and Doolen G. Multicomponent lattice-Boltzmann model with interparticle interaction. J Stat Phys 81 (1995) 379-393
    • (1995) J Stat Phys , vol.81 , pp. 379-393
    • Shan, X.1    Doolen, G.2
  • 27
    • 4644301820 scopus 로고    scopus 로고
    • Lattice Boltzmann simulations of liquid-gas and binary fluid systems
    • Swift M.R., Orlandini E., Osborn W.R., et al. Lattice Boltzmann simulations of liquid-gas and binary fluid systems. Phys Rev E 54 (1996) 5041-5052
    • (1996) Phys Rev E , vol.54 , pp. 5041-5052
    • Swift, M.R.1    Orlandini, E.2    Osborn, W.R.3
  • 28
    • 11744361965 scopus 로고
    • Lattice Boltzmann simulation of nonideal fluids
    • Swift M.R., Osborn W.R., and Yeomans J.M. Lattice Boltzmann simulation of nonideal fluids. Phys Rev Lett 75 (1995) 830-833
    • (1995) Phys Rev Lett , vol.75 , pp. 830-833
    • Swift, M.R.1    Osborn, W.R.2    Yeomans, J.M.3
  • 29
    • 0032027315 scopus 로고    scopus 로고
    • Lattice Boltzmann simulation of nonideal vapor-liquid flow in porous media
    • Angelopoulos A.D., Paunov V.N., Burganos V.N., et al. Lattice Boltzmann simulation of nonideal vapor-liquid flow in porous media. Phys Rev E 57 (1998) 3237-3245
    • (1998) Phys Rev E , vol.57 , pp. 3237-3245
    • Angelopoulos, A.D.1    Paunov, V.N.2    Burganos, V.N.3
  • 30
    • 0034229781 scopus 로고    scopus 로고
    • A Galilean invariant model of the lattice Boltzmann method for multiphase fluid flows using free-energy approach
    • Inamuro T., Konishi N., and Ogino F. A Galilean invariant model of the lattice Boltzmann method for multiphase fluid flows using free-energy approach. Comput Phys Commun 129 (2000) 32-45
    • (2000) Comput Phys Commun , vol.129 , pp. 32-45
    • Inamuro, T.1    Konishi, N.2    Ogino, F.3
  • 31
    • 3242883476 scopus 로고    scopus 로고
    • A lattice Boltzmann method for incompressible two-phase flows with large density differences
    • Inamuro T., Ogata T., Tajima S., et al. A lattice Boltzmann method for incompressible two-phase flows with large density differences. J Comput Phys 198 (2004) 628-644
    • (2004) J Comput Phys , vol.198 , pp. 628-644
    • Inamuro, T.1    Ogata, T.2    Tajima, S.3
  • 32
    • 35348876084 scopus 로고    scopus 로고
    • A lattice Boltzmann method for incompressible two-phase flows on partial wetting surface with large density ratio
    • Yan Y.Y., and Zu Y.Q. A lattice Boltzmann method for incompressible two-phase flows on partial wetting surface with large density ratio. J Comput Phys 227 (2007) 763-775
    • (2007) J Comput Phys , vol.227 , pp. 763-775
    • Yan, Y.Y.1    Zu, Y.Q.2
  • 33
    • 0000192442 scopus 로고    scopus 로고
    • Unified theory of lattice Boltzmann models for nonideal gases
    • Luo L. Unified theory of lattice Boltzmann models for nonideal gases. Phys Rev Lett 81 (1998) 1618-1621
    • (1998) Phys Rev Lett , vol.81 , pp. 1618-1621
    • Luo, L.1
  • 34
    • 0034297477 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: Lattice Boltzmann models for nonideal gases
    • Luo L. Theory of the lattice Boltzmann method: Lattice Boltzmann models for nonideal gases. Phys Rev E 62 (2000) 4982-4996
    • (2000) Phys Rev E , vol.62 , pp. 4982-4996
    • Luo, L.1
  • 35
    • 0347963841 scopus 로고    scopus 로고
    • A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability
    • He X., Chen S., and Zhang R. A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability. J Comput Phys 152 (1999) 642-663
    • (1999) J Comput Phys , vol.152 , pp. 642-663
    • He, X.1    Chen, S.2    Zhang, R.3
  • 36
    • 0033669318 scopus 로고    scopus 로고
    • Numerical investigation of bubble growth and detachment by the lattice-Boltzmann method
    • Yang Z.L., Dinh T.N., Nourgaliev R.R., et al. Numerical investigation of bubble growth and detachment by the lattice-Boltzmann method. Int J Heat Mass Tranfer 44 (2001) 195-206
    • (2001) Int J Heat Mass Tranfer , vol.44 , pp. 195-206
    • Yang, Z.L.1    Dinh, T.N.2    Nourgaliev, R.R.3
  • 37
    • 0035807706 scopus 로고    scopus 로고
    • Numerical simulation of bubbly two-phase flow in a narrow channel
    • Yang Z.L., Palm B., and Sehgal B.R. Numerical simulation of bubbly two-phase flow in a narrow channel. Int J Heat Mass Transfer 45 (2002) 631-639
    • (2002) Int J Heat Mass Transfer , vol.45 , pp. 631-639
    • Yang, Z.L.1    Palm, B.2    Sehgal, B.R.3
  • 38
    • 51349087653 scopus 로고    scopus 로고
    • Lattice Boltzmann simulation to study multiple bubble dynamics
    • Gupta A., and Kumar R. Lattice Boltzmann simulation to study multiple bubble dynamics. Int J Heat Mass Transfer 51 (2008) 5192-5203
    • (2008) Int J Heat Mass Transfer , vol.51 , pp. 5192-5203
    • Gupta, A.1    Kumar, R.2
  • 39
    • 33947631948 scopus 로고    scopus 로고
    • 2 bubbles from the anode microchannels of a micro fuel cell by lattice-Boltzmann simulation
    • 2 bubbles from the anode microchannels of a micro fuel cell by lattice-Boltzmann simulation. Microfluid Nanofluid 3 (2007) 77-88
    • (2007) Microfluid Nanofluid , vol.3 , pp. 77-88
    • Fei, K.1    Hong, C.2
  • 40
    • 0002453444 scopus 로고    scopus 로고
    • Spreading dynamics of three-dimensional droplets by the lattice-Boltzmann method
    • Raiskinmäki P., Koponen A., Merikoski J., et al. Spreading dynamics of three-dimensional droplets by the lattice-Boltzmann method. Comput Mater Sci 18 (2000) 7-12
    • (2000) Comput Mater Sci , vol.18 , pp. 7-12
    • Raiskinmäki, P.1    Koponen, A.2    Merikoski, J.3
  • 41
    • 0001445389 scopus 로고    scopus 로고
    • Lattice Boltzmann simulations of three-dimensional single droplet deformation and breakup under simple shear flow
    • Xi H., and Duncan C. Lattice Boltzmann simulations of three-dimensional single droplet deformation and breakup under simple shear flow. Phys Rev E 59 (1999) 3022-3026
    • (1999) Phys Rev E , vol.59 , pp. 3022-3026
    • Xi, H.1    Duncan, C.2
  • 42
    • 46749101729 scopus 로고    scopus 로고
    • Pore-scale studies of spontaneous imbibition into oil-saturated porous media
    • Hatiboglu C.U., and Babadagli T. Pore-scale studies of spontaneous imbibition into oil-saturated porous media. Phys Rev E 77 (2008) 066311
    • (2008) Phys Rev E , vol.77 , pp. 066311
    • Hatiboglu, C.U.1    Babadagli, T.2
  • 43
    • 3843118614 scopus 로고    scopus 로고
    • Large-scale grid-enabled lattice Boltzmann simulations of complex fluid flow in porous media and under shear
    • Harting J., Venturoli M., and Coveney P.V. Large-scale grid-enabled lattice Boltzmann simulations of complex fluid flow in porous media and under shear. Philos Trans Math Phys Eng Sci 362 (2004) 1703-1722
    • (2004) Philos Trans Math Phys Eng Sci , vol.362 , pp. 1703-1722
    • Harting, J.1    Venturoli, M.2    Coveney, P.V.3
  • 44
    • 1642271800 scopus 로고    scopus 로고
    • Lattice-Boltzmann simulation of two-phase flow in porous media
    • Pan C., Hilpert M., and Miller C.T. Lattice-Boltzmann simulation of two-phase flow in porous media. Water Resour Res 40 (2004) W01501
    • (2004) Water Resour Res , vol.40
    • Pan, C.1    Hilpert, M.2    Miller, C.T.3
  • 45
    • 0242409419 scopus 로고    scopus 로고
    • Invasion percolation of single component, multiphase fluids with lattice Boltzmann models
    • Sukop M.C., and Or D. Invasion percolation of single component, multiphase fluids with lattice Boltzmann models. Phys B Condens Matter 338 (2003) 298-303
    • (2003) Phys B Condens Matter , vol.338 , pp. 298-303
    • Sukop, M.C.1    Or, D.2
  • 46
    • 2542565811 scopus 로고    scopus 로고
    • Lattice Boltzmann method for modeling liquid-vapor interface configurations in porous media
    • Sukop M.C., and Or D. Lattice Boltzmann method for modeling liquid-vapor interface configurations in porous media. Water Resour Res 40 (2004) W01509
    • (2004) Water Resour Res , vol.40
    • Sukop, M.C.1    Or, D.2
  • 47
    • 33751013299 scopus 로고    scopus 로고
    • Linking drainage front morphology with gaseous diffusion in unsaturated porous media: a lattice Boltzmann study
    • Chau J.F., and Or D. Linking drainage front morphology with gaseous diffusion in unsaturated porous media: a lattice Boltzmann study. Phys Rev E 74 (2006) 056304-056311
    • (2006) Phys Rev E , vol.74 , pp. 056304-056311
    • Chau, J.F.1    Or, D.2
  • 48
    • 0036733094 scopus 로고    scopus 로고
    • Displacement of a two-dimensional immiscible droplet in a channel
    • Kang Q., Zhang D., and Chen S. Displacement of a two-dimensional immiscible droplet in a channel. Phys Fluids 14 (2002) 3203-3214
    • (2002) Phys Fluids , vol.14 , pp. 3203-3214
    • Kang, Q.1    Zhang, D.2    Chen, S.3
  • 49
    • 36048986656 scopus 로고    scopus 로고
    • Experiment and lattice Boltzmann simulation of two-phase gas-liquid flows in microchannels
    • Yu Z., Hemminger O., and Fan L.-S. Experiment and lattice Boltzmann simulation of two-phase gas-liquid flows in microchannels. Chem Eng Sci 62 (2007) 7172-7183
    • (2007) Chem Eng Sci , vol.62 , pp. 7172-7183
    • Yu, Z.1    Hemminger, O.2    Fan, L.-S.3
  • 50
    • 0035334076 scopus 로고    scopus 로고
    • Simulation of contact line dynamics in a two-dimensional capillary tube by the lattice Boltzmann model
    • Fan L., Fang H., and Lin Z. Simulation of contact line dynamics in a two-dimensional capillary tube by the lattice Boltzmann model. Phys Rev E 63 (2001) 051603
    • (2001) Phys Rev E , vol.63 , pp. 051603
    • Fan, L.1    Fang, H.2    Lin, Z.3
  • 51
    • 44249100888 scopus 로고    scopus 로고
    • 2 bubble dynamics using thermal lattice-Boltzmann method
    • 2 bubble dynamics using thermal lattice-Boltzmann method. Microfluid Nanofluid 5 (2008) 119-129
    • (2008) Microfluid Nanofluid , vol.5 , pp. 119-129
    • Fei, K.1    Chen, W.2    Hong, C.3
  • 52
    • 5344222636 scopus 로고    scopus 로고
    • Simulation of Rayleigh-Bénard convection using a lattice Boltzmann method
    • Shan X. Simulation of Rayleigh-Bénard convection using a lattice Boltzmann method. Phys Rev E 55 (1997) 2780-2788
    • (1997) Phys Rev E , vol.55 , pp. 2780-2788
    • Shan, X.1
  • 53
    • 4243826396 scopus 로고    scopus 로고
    • Diffusion in a multicomponent lattice Boltzmann equation model
    • Shan X., and Doolen G. Diffusion in a multicomponent lattice Boltzmann equation model. Phys Rev E 54 (1996) 3614-3620
    • (1996) Phys Rev E , vol.54 , pp. 3614-3620
    • Shan, X.1    Doolen, G.2
  • 54
    • 33745635390 scopus 로고    scopus 로고
    • Equations of state in a lattice Boltzmann model
    • Yuan P., and Schaefer L. Equations of state in a lattice Boltzmann model. Phys Fluids 18 (2006) 042101-042111
    • (2006) Phys Fluids , vol.18 , pp. 042101-042111
    • Yuan, P.1    Schaefer, L.2
  • 55
    • 1842650686 scopus 로고    scopus 로고
    • Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method
    • Martys N.S., and Chen H. Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method. Phys Rev E 53 (1996) 743
    • (1996) Phys Rev E , vol.53 , pp. 743
    • Martys, N.S.1    Chen, H.2
  • 56
    • 2142825823 scopus 로고    scopus 로고
    • On pressure and velocity boundary conditions for the lattice Boltzmann BGK model
    • Zou Q., and He X. On pressure and velocity boundary conditions for the lattice Boltzmann BGK model. Phys Fluids 9 (1997) 1591-1598
    • (1997) Phys Fluids , vol.9 , pp. 1591-1598
    • Zou, Q.1    He, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.