메뉴 건너뛰기




Volumn 519, Issue , 2004, Pages 105-132

Fluid displacement between two parallel plates: A non-empirical model displaying change of type from hyperbolic to elliptic equations

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONCENTRATION (PROCESS); DIFFUSION; NUMERICAL METHODS; PROBLEM SOLVING; VISCOSITY OF LIQUIDS;

EID: 10244263518     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112004001089     Document Type: Article
Times cited : (10)

References (30)
  • 1
    • 0000159327 scopus 로고    scopus 로고
    • Instabilities, fingering and Saffman-Taylor problem in filtration combustion
    • ALDUSHIN, A. P. & MATKOWSKY, B. J. 1998 Instabilities, fingering and Saffman-Taylor problem in filtration combustion. Combust. Sci. Technol. 133, 293-341.
    • (1998) Combust. Sci. Technol. , vol.133 , pp. 293-341
    • Aldushin, A.P.1    Matkowsky, B.J.2
  • 3
    • 0022720178 scopus 로고
    • Structure formation in bidisperse sedimentation
    • BATCHELOR, G. K. & JANSE VAN RENSBURG, R. W. 1985 Structure formation in bidisperse sedimentation. J. Fluid Mech. 166, 379-407.
    • (1985) J. Fluid Mech. , vol.166 , pp. 379-407
    • Batchelor, G.K.1    Janse Van Rensburg, R.W.2
  • 4
    • 0022890421 scopus 로고
    • Conservation laws of mixed type describing three-phase flow in porous media
    • BELL, J. B., TRANGENSTEIN, J. A. & SHUBIN, G. R. 1986 Conservation laws of mixed type describing three-phase flow in porous media. SIAM J. Appl. Maths 46, 1000-1023.
    • (1986) SIAM J. Appl. Maths , vol.46 , pp. 1000-1023
    • Bell, J.B.1    Trangenstein, J.A.2    Shubin, G.R.3
  • 5
    • 0030291473 scopus 로고    scopus 로고
    • Miscible displacements in capillary tubes. Part 2. Numerical simulations
    • CHEN, C. Y. & MEIBURG, E. 1996 Miscible displacements in capillary tubes. Part 2. Numerical simulations. J. Fluid Mech. 326, 57-65.
    • (1996) J. Fluid Mech. , vol.326 , pp. 57-65
    • Chen, C.Y.1    Meiburg, E.2
  • 7
    • 0021411005 scopus 로고
    • Evaluation of normalized Stone's method for estimating three-phase relative permeabilities
    • FAYERS, F. & MATTHEWS, J. 1984 Evaluation of normalized Stone's method for estimating three-phase relative permeabilities. Soc. Pet. Engng. J. 24, 225-232.
    • (1984) Soc. Pet. Engng. J. , vol.24 , pp. 225-232
    • Fayers, F.1    Matthews, J.2
  • 10
    • 0036722545 scopus 로고    scopus 로고
    • Elliptic region and stable solutions for three-phase flow in porous media
    • JACKSON, M. D. & BLUNT, M. J. 2002 Elliptic region and stable solutions for three-phase flow in porous media. Transport in Porous Media 48, 249-269.
    • (2002) Transport in Porous Media , vol.48 , pp. 249-269
    • Jackson, M.D.1    Blunt, M.J.2
  • 11
    • 1242310684 scopus 로고    scopus 로고
    • Analytical solution to the Riemann problem of three-phase flow in porous media
    • JUANES, R. & PATZEK, T. W. 2003 Analytical solution to the Riemann problem of three-phase flow in porous media. Transport in Porous Media 55, 47-70.
    • (2003) Transport in Porous Media , vol.55 , pp. 47-70
    • Juanes, R.1    Patzek, T.W.2
  • 12
    • 0001217962 scopus 로고
    • Change of type in three-phase flow: A simple analog
    • KEYFITZ, B. L. 1989 Change of type in three-phase flow: a simple analog. J. Diff. Equations 80, 280-305.
    • (1989) J. Diff. Equations , vol.80 , pp. 280-305
    • Keyfitz, B.L.1
  • 14
    • 0003410619 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • LAKE, L. W. 1989 Enhanced Oil Recovery. Prentice-Hall, Englewood Cliffs, NJ.
    • (1989) Enhanced Oil Recovery
    • Lake, L.W.1
  • 15
    • 0001293409 scopus 로고    scopus 로고
    • The effect of mobility gradients on viscous instabilities in miscible flows in porous media
    • LOGGIA, D., RAKOTOMALALA, N. & SALIN, D. 1999 The effect of mobility gradients on viscous instabilities in miscible flows in porous media. Phys. Fluids 11, 740-742.
    • (1999) Phys. Fluids , vol.11 , pp. 740-742
    • Loggia, D.1    Rakotomalala, N.2    Salin, D.3
  • 16
    • 0027391615 scopus 로고
    • Stability of miscible displacements in porous media with nonmonotonic viscosity profiles
    • MANICKAM, O. & HOMSY, G. M. 1993 Stability of miscible displacements in porous media with nonmonotonic viscosity profiles. Phys. Fluids A 5, 1356-1367.
    • (1993) Phys. Fluids A , vol.5 , pp. 1356-1367
    • Manickam, O.1    Homsy, G.M.2
  • 17
    • 35949012093 scopus 로고
    • The Riemann problem for fluid flow of real materials
    • MENIKOFF, R. & PLOHR, B. J. 1989 The Riemann problem for fluid flow of real materials. Rev. Mod. Phys. 61, 75-130.
    • (1989) Rev. Mod. Phys. , vol.61 , pp. 75-130
    • Menikoff, R.1    Plohr, B.J.2
  • 18
    • 84903717133 scopus 로고
    • Two-phase displacement in Hele-Shaw cells: Theory
    • PARK, C. W. & HOMSY, G. M. 1984 Two-phase displacement in Hele-Shaw cells: theory. J. Fluid Mech. 139, 291-308.
    • (1984) J. Fluid Mech. , vol.139 , pp. 291-308
    • Park, C.W.1    Homsy, G.M.2
  • 20
    • 0030286458 scopus 로고    scopus 로고
    • Miscible displacements in capillary tubes. Part 1. Experiments
    • PETITJEANS, P. & MAXWORTHY, T. 1996 Miscible displacements in capillary tubes. Part 1. Experiments. J. Fluid Mech. 326, 37-56.
    • (1996) J. Fluid Mech. , vol.326 , pp. 37-56
    • Petitjeans, P.1    Maxworthy, T.2
  • 21
    • 0031136242 scopus 로고    scopus 로고
    • Miscible displacement between two parallel plates: BGK lattice gas simulations
    • RAKOTOMALALA, N., SALIN, D. & WATZKY, P. 1997 Miscible displacement between two parallel plates: BGK lattice gas simulations. J. Fluid Mech. 338, 277-297.
    • (1997) J. Fluid Mech. , vol.338 , pp. 277-297
    • Rakotomalala, N.1    Salin, D.2    Watzky, P.3
  • 22
    • 0001655483 scopus 로고
    • The penetration of a finger into a viscous fluid in a channel
    • REINELT, D. A. & SAFFMAN, P. G. 1985 The penetration of a finger into a viscous fluid in a channel. SIAM J. Sci. Stat. Comput. 6, 542-561.
    • (1985) SIAM J. Sci. Stat. Comput. , vol.6 , pp. 542-561
    • Reinelt, D.A.1    Saffman, P.G.2
  • 23
    • 0001383598 scopus 로고
    • The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
    • SAFFMAN, P. G. & TAYLOR, G. I. 1958 The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid. Proc. R. Soc. Lond. A 245 312-329.
    • (1958) Proc. R. Soc. Lond. A , vol.245 , pp. 312-329
    • Saffman, P.G.1    Taylor, G.I.2
  • 24
    • 10244220496 scopus 로고    scopus 로고
    • Effect of non-monotonic mobility at various scales in porous media
    • PhD Dissertation, University of Southern California
    • SHARIATI, M. 2000 Effect of Non-Monotonic Mobility at Various Scales in Porous Media. PhD Dissertation, University of Southern California.
    • (2000)
    • Shariati, M.1
  • 25
    • 0035423973 scopus 로고    scopus 로고
    • Stability of miscible displacements across stratified porous media
    • SHARIATI, M. & YORTSOS, Y. C. 2001 Stability of miscible displacements across stratified porous media. Phys. Fluids 13, 2245-2257.
    • (2001) Phys. Fluids , vol.13 , pp. 2245-2257
    • Shariati, M.1    Yortsos, Y.C.2
  • 26
    • 0001643513 scopus 로고
    • Loss of real characteristics for models of three-phase flow in porous media
    • SHEARER, M. & TRANGENSTEIN, J. 1989 Loss of real characteristics for models of three-phase flow in porous media. Transport Porous Media 4, 499-525.
    • (1989) Transport Porous Media , vol.4 , pp. 499-525
    • Shearer, M.1    Trangenstein, J.2
  • 27
    • 84972277804 scopus 로고
    • The Riemann problem for a system of conservation laws of mixed type with a cubic nonlinearity
    • SHEARER, M. & YANG, Y. 1995 The Riemann problem for a system of conservation laws of mixed type with a cubic nonlinearity. Proc. R. Soc. Edin. A 125, 675-699.
    • (1995) Proc. R. Soc. Edin. A , vol.125 , pp. 675-699
    • Shearer, M.1    Yang, Y.2
  • 28
    • 2442677705 scopus 로고
    • Dynamics of nonequilibrium phase boundaries in a heat conducting elastic medium
    • TRUSKINOVSKY, L. 1987 Dynamics of nonequilibrium phase boundaries in a heat conducting elastic medium. Z. angew. Math. Mech. 51, 777-784.
    • (1987) Z. Angew. Math. Mech. , vol.51 , pp. 777-784
    • Truskinovsky, L.1
  • 30
    • 0001414396 scopus 로고    scopus 로고
    • Asymptotic solutions of miscible displacements in geometries of large aspect ratio
    • YANG, Z. & YORTSOS, Y. C. 1997 Asymptotic solutions of miscible displacements in geometries of large aspect ratio. Phys. Fluids 9, 286-298.
    • (1997) Phys. Fluids , vol.9 , pp. 286-298
    • Yang, Z.1    Yortsos, Y.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.