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Volumn 7, Issue 2, 1996, Pages 169-199

Interfacial wave theory for oscillatory finger formation in a Hele-Shaw cell: A comparison with experiments

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EID: 0642285635     PISSN: 09567925     EISSN: None     Source Type: Journal    
DOI: 10.1017/s095679250000228x     Document Type: Article
Times cited : (10)

References (26)
  • 2
    • 0000081494 scopus 로고
    • Narrow fingers in the Saffman-Taylor instability
    • COUDER, Y., GERARD, N. & RABAUD, M. 1986 Narrow fingers in the Saffman-Taylor instability. Phys. Rev. A 34, 5175.
    • (1986) Phys. Rev. A , vol.34 , pp. 5175
    • Couder, Y.1    Gerard, N.2    Rabaud, M.3
  • 3
    • 0013037698 scopus 로고
    • Narrow fingers in a Hele-Shaw cell
    • KOPF-SILL, A. R. & HOMSY, G. M. 1987 Narrow fingers in a Hele-Shaw cell. Phys. Fluids 30 (9), 2607.
    • (1987) Phys. Fluids , vol.30 , Issue.9 , pp. 2607
    • Kopf-Sill, A.R.1    Homsy, G.M.2
  • 4
    • 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. London Ser. A 245, 312.
    • (1958) Proc. R. Soc. London Ser. A , vol.245 , pp. 312
    • Saffman, P.G.1    Taylor, G.I.2
  • 5
    • 0023537903 scopus 로고
    • Dynamics of curved fronts and pattern selection
    • BENSIMON, D., PELCE, P. & SHRAIMAN, B. I. 1987 Dynamics of curved fronts and pattern selection. J. Physique 48, 2081.
    • (1987) J. Physique , vol.48 , pp. 2081
    • Bensimon, D.1    Pelce, P.2    Shraiman, B.I.3
  • 6
    • 0642357493 scopus 로고
    • PhD Thesis, California Institute Technology
    • ROMERO, L. A. 1981 PhD Thesis, California Institute Technology.
    • (1981)
    • Romero, L.A.1
  • 7
    • 0000395122 scopus 로고
    • Fingers in a Hele-Shaw cell with surface tension
    • VANDEN-BROECK, J.-M. 1983 Fingers in a Hele-Shaw cell with surface tension. Phys. Fluids 26 (8), 2033.
    • (1983) Phys. Fluids , vol.26 , Issue.8 , pp. 2033
    • Vanden-Broeck, J.-M.1
  • 8
    • 0001677454 scopus 로고
    • Analytic theory for the selection of a symmetric Saffman-Taylor instability
    • TANVEER, S. 1987 Analytic theory for the selection of a symmetric Saffman-Taylor instability. Phys. Fluid 30 (8), 1589.
    • (1987) Phys. Fluid , vol.30 , Issue.8 , pp. 1589
    • Tanveer, S.1
  • 9
    • 0000772855 scopus 로고
    • Analytic theory of the selection mechanism in the Saffman-Taylor problem
    • HONG, D. C. & LANGER, J. S. 1986 Analytic theory of the selection mechanism in the Saffman-Taylor problem. Phys. Rev. Lett. 56, 2032.
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 2032
    • Hong, D.C.1    Langer, J.S.2
  • 10
    • 35949019873 scopus 로고    scopus 로고
    • Stability of finger patterns in Hele-Shaw cells
    • KESSLER, D. A. & LEVINE, H. 1985 Stability of finger patterns in Hele-Shaw cells. Phys. Rev. A 32, 1930. (Also: 1986 Theory of the Saffman-Taylor 'finger' pattern. Phys. Rev. A 323, 2632.)
    • (1985) Phys. Rev. A , vol.32 , pp. 1930
    • Kessler, D.A.1    Levine, H.2
  • 11
    • 35949019873 scopus 로고    scopus 로고
    • 1986 Theory of the Saffman-Taylor 'finger' pattern
    • KESSLER, D. A. & LEVINE, H. 1985 Stability of finger patterns in Hele-Shaw cells. Phys. Rev. A 32, 1930. (Also: 1986 Theory of the Saffman-Taylor 'finger' pattern. Phys. Rev. A 323, 2632.)
    • Phys. Rev. A , vol.323 , pp. 2632
  • 12
    • 0019374495 scopus 로고
    • The effect of surface tension on the shape of fingers in a Hele-Shaw cell
    • MCLEAN, J. & SAFFMAN, P. G. 1981 The effect of surface tension on the shape of fingers in a Hele-Shaw cell. J. Fluid Mech. 102, 455.
    • (1981) J. Fluid Mech. , vol.102 , pp. 455
    • Mclean, J.1    Saffman, P.G.2
  • 13
    • 0022681535 scopus 로고
    • A boundary integral method for two-phase displacement in Hele-Shaw cell
    • DEGREGORIA, A. J. & SCHWARTZ, L. W. 1986 A boundary integral method for two-phase displacement in Hele-Shaw cell. J. Fluid Mech. 164, 383.
    • (1986) J. Fluid Mech. , vol.164 , pp. 383
    • Degregoria, A.J.1    Schwartz, L.W.2
  • 15
    • 0023331242 scopus 로고
    • An experimental study of the Saffman-Taylor instability
    • TABLING, P., ZOCCH, G. & LIBCHABER, A. 1987 An experimental study of the Saffman-Taylor instability. J. Fluid Mech. 177, 67.
    • (1987) J. Fluid Mech. , vol.177 , pp. 67
    • Tabling, P.1    Zocch, G.2    Libchaber, A.3
  • 16
    • 0023242924 scopus 로고
    • Viscous fingering in porous media
    • HOMSY, G. M. 1987 Viscous fingering in porous media. Ann. Rev. Fluid Mech. 19, 271.
    • (1987) Ann. Rev. Fluid Mech. , vol.19 , pp. 271
    • Homsy, G.M.1
  • 18
    • 25344478646 scopus 로고
    • Interfacial wave theory for dendritic structure of a growing needle crystal: (I) local instability mechanism; (II) wave emission mechanism at turning point
    • XU, J. J. 1989 Interfacial wave theory for dendritic structure of a growing needle crystal: (I) local instability mechanism; (II) wave emission mechanism at turning point. Phys. Rev. A 40 (3), 1599, 1609.
    • (1989) Phys. Rev. A , vol.40 , Issue.3 , pp. 1599
    • Xu, J.J.1
  • 19
    • 0025405342 scopus 로고
    • Global neutral stability of dendrite growth and selection condition of tip velocity
    • XU, J. J. 1990 Global neutral stability of dendrite growth and selection condition of tip velocity. J. Crystal Growth 100, 481.
    • (1990) J. Crystal Growth , vol.100 , pp. 481
    • Xu, J.J.1
  • 20
    • 0025234126 scopus 로고
    • Asymptotic theory of steady axi-symmetrical needlike crystal growth
    • XU, J. J. 1990 Asymptotic theory of steady axi-symmetrical needlike crystal growth. Studies in Appl. Math. 83, 71.
    • (1990) Studies in Appl. Math. , vol.83 , pp. 71
    • Xu, J.J.1
  • 21
    • 0000193019 scopus 로고
    • Interfacial wave theory of solidification: Dendritic pattern formation and selection of growth velocity
    • XU, J. J. 1991 Interfacial wave theory of solidification: dendritic pattern formation and selection of growth velocity. Physical Review A 15 43 (2), 930-947.
    • (1991) Physical Review A 15 , vol.43 , Issue.2 , pp. 930-947
    • Xu, J.J.1
  • 22
    • 0027575991 scopus 로고
    • Interfacial wave theory of dendritic growth from a binary mixture: A comparison with experiment
    • XU, J. J. & PAN, Z. X. 1993 Interfacial wave theory of dendritic growth from a binary mixture: a comparison with experiment. J. Crystal Growth 129, 666.
    • (1993) J. Crystal Growth , vol.129 , pp. 666
    • Xu, J.J.1    Pan, Z.X.2
  • 23
    • 84972004495 scopus 로고
    • Global instability of viscous fingering in a Hele-Shaw cell: Formation of oscillatory fingers
    • XU, J. J. 1991 Global instability of viscous fingering in a Hele-Shaw cell: formation of oscillatory fingers. Euro. J. Appl. Math. 2, 105-132.
    • (1991) Euro. J. Appl. Math. , vol.2 , pp. 105-132
    • Xu, J.J.1
  • 24
    • 0642296195 scopus 로고
    • Numerical investigation of global instability mechanism of dendrite growth
    • submitted
    • XU, J. J., PAN, Z. X. & COLE, J. D. 1993 Numerical investigation of global instability mechanism of dendrite growth. Euro. J. Appl. Math. (submitted).
    • (1993) Euro. J. Appl. Math.
    • Xu, J.J.1    Pan, Z.X.2    Cole, J.D.3
  • 26
    • 0030263321 scopus 로고    scopus 로고
    • Interfacial instabilities and fingering formation in Hele-Shaw flow
    • to appear
    • XU, J. J. 1996 Interfacial instabilities and fingering formation in Hele-Shaw flow. IMA J. Appl. Math. (to appear).
    • (1996) IMA J. Appl. Math.
    • Xu, J.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.