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Volumn 18, Issue 3, 2007, Pages 337-362

Freely draining gravity currents in porous media: Dipole self-similar solutions with and without capillary retention

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EID: 34249815800     PISSN: 09567925     EISSN: 14694425     Source Type: Journal    
DOI: 10.1017/S0956792507006985     Document Type: Article
Times cited : (8)

References (18)
  • 4
    • 0032327229 scopus 로고    scopus 로고
    • A new free boundary problem for unsteady flows in porous media
    • BARENBLATT, G. I. & VAZQUEZ, J. L. (1998) A new free boundary problem for unsteady flows in porous media. Eur J. Appl. Math. 9, 37-54.
    • (1998) Eur J. Appl. Math , vol.9 , pp. 37-54
    • BARENBLATT, G.I.1    VAZQUEZ, J.L.2
  • 5
    • 0011468611 scopus 로고
    • On dipole solutions in problems on non-stationary filtration of gas under polytropic regime
    • BARENBLATT, G. I. & ZEL'DOVICH, YA. B. (1957) On dipole solutions in problems on non-stationary filtration of gas under polytropic regime. Prikladnaia Matematika i Mekhanika 21(5), 718-720.
    • (1957) Prikladnaia Matematika i Mekhanika , vol.21 , Issue.5 , pp. 718-720
    • BARENBLATT, G.I.1    ZEL'DOVICH, Y.B.2
  • 7
    • 0003352932 scopus 로고    scopus 로고
    • Dipoles and similarity solutions of the thin film equation in the half-line
    • BERNIS, F., HULSHOF, J. & KING, J. R. (2000) Dipoles and similarity solutions of the thin film equation in the half-line. Nonlinearity 13, 413-439.
    • (2000) Nonlinearity , vol.13 , pp. 413-439
    • BERNIS, F.1    HULSHOF, J.2    KING, J.R.3
  • 8
    • 33750192169 scopus 로고    scopus 로고
    • The linear limit of the dipole problem for the thin film equation
    • BOWEN, M. & WITELSKI, T. P. (2006) The linear limit of the dipole problem for the thin film equation. SIAM J. Appl. Math. 66, 1727-1748.
    • (2006) SIAM J. Appl. Math , vol.66 , pp. 1727-1748
    • BOWEN, M.1    WITELSKI, T.P.2
  • 10
    • 0000062672 scopus 로고
    • Anomalous dimensions and the Renormalization Group in a nonlinear diffusion process
    • GOLDENFELD, N., MARTIN, O., OONO, Y. & LIU, F. (1990) Anomalous dimensions and the Renormalization Group in a nonlinear diffusion process. Phys. Rev. Lett. 64, 1361-1364.
    • (1990) Phys. Rev. Lett , vol.64 , pp. 1361-1364
    • GOLDENFELD, N.1    MARTIN, O.2    OONO, Y.3    LIU, F.4
  • 11
    • 0005215593 scopus 로고
    • Eigenvalues of the Barenblatt-Pattle similarity solution in nonlinear diffusion
    • GRUNDY, R. E. & MCLAUGHLIN, R. (1982) Eigenvalues of the Barenblatt-Pattle similarity solution in nonlinear diffusion. Proc. Royal. Soc. Lond. Ser. A 383, 89-100.
    • (1982) Proc. Royal. Soc. Lond. Ser. A , vol.383 , pp. 89-100
    • GRUNDY, R.E.1    MCLAUGHLIN, R.2
  • 12
    • 0029413140 scopus 로고
    • Gravity-driven flows in porous layers
    • HUPPERT, H. E. & WOODS, A. W. (1995) Gravity-driven flows in porous layers. J. of Fluid Mech. 292, 53-69.
    • (1995) J. of Fluid Mech , vol.292 , pp. 53-69
    • HUPPERT, H.E.1    WOODS, A.W.2
  • 14
    • 0020190477 scopus 로고
    • Waiting-time behaviour in a nonlinear diffusion equation
    • KATH, W. L. & COHEN, D. S. (1982) Waiting-time behaviour in a nonlinear diffusion equation. Stud. Appl. Math. 67, 79-105.
    • (1982) Stud. Appl. Math , vol.67 , pp. 79-105
    • KATH, W.L.1    COHEN, D.S.2
  • 15
    • 0037634189 scopus 로고    scopus 로고
    • Dipole solutions for viscous gravity currents: Theory and experiments
    • KING, S. E. & WOODS, A. W. (2003) Dipole solutions for viscous gravity currents: Theory and experiments. J. Fluid Mech. 483 91-109.
    • (2003) J. Fluid Mech , vol.483 , pp. 91-109
    • KING, S.E.1    WOODS, A.W.2
  • 16
    • 33645869551 scopus 로고    scopus 로고
    • Self-similar gravity currents in porous media: Linear stability of the Barenblatt-Pattle solution revisited
    • MATHUNJWA, J. S. & HOOG, A. J. (2006) Self-similar gravity currents in porous media: Linear stability of the Barenblatt-Pattle solution revisited. Eur. J. Mech. B Fluids 25, 360-378.
    • (2006) Eur. J. Mech. B Fluids , vol.25 , pp. 360-378
    • MATHUNJWA, J.S.1    HOOG, A.J.2
  • 17
    • 33644802140 scopus 로고    scopus 로고
    • An asymptotic approach to second-kind similarity solutions of modified porousmedium equation
    • WAGNER, B. (2005) An asymptotic approach to second-kind similarity solutions of modified porousmedium equation. J. Eng. Math. 53, 201-220.
    • (2005) J. Eng. Math , vol.53 , pp. 201-220
    • WAGNER, B.1
  • 18
    • 0032312258 scopus 로고    scopus 로고
    • Vapourizing gravity currents in a superheated porous medium
    • WOODS, A. W. (1998) Vapourizing gravity currents in a superheated porous medium. J. Fluid Mech. 377, 151-168.
    • (1998) J. Fluid Mech , vol.377 , pp. 151-168
    • WOODS, A.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.