Saffman-Taylor problem on a sphere

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 63, Issue 3, 2001, Pages

  Parisio, Fernando ^a   Moraes, Fernando ^a   Miranda, José A ^a   Widom, Michael ^b  

^a FEDERAL UNIVERSITY OF PERNAMBUCO   (Brazil)

^b CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMAL MAPPING; DIFFERENTIAL EQUATIONS; MORPHOLOGY; PERTURBATION TECHNIQUES; PHASE INTERFACES; SOLUBILITY; SPHERES; VISCOSITY;

HELE-SHAW FLOW; SAFFMANN-TAYLOR PROBLEM;

VISCOUS FLOW;

EID: 4244062998     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.036307     Document Type: Article

References (16)

1. Y. Nakagava, Nature (London) 175, 417 (1955).
2. Y. Nakagava, Proc. R. Soc. London, Ser. A 240, 108 (1957).
3. Y. Nakagava, Proc. R. Soc. London, Ser. A 249, 138 (1959).
4. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover Publications, New York, 1961).
5. R. Moreau, Magnetohydrodynamics (Kluwer Academic Publishers, Dordrecht, 1990).
6. J.A. Shercliff, J. Fluid Mech. 91, 231 (1979).
7. O. Lielausis et al., in International Symposium on Electromagnetic Processing of Materials, Tokyo, Japan, 1994, edited by The Iron and Steel Institute of Japan.
8. P. Lehmann et al, Mater. Sci. Forum 217-222, 235 (1996).
9. P. Lehmann et al, in Progress in Fluid Flow Research: Turbulence and Applied MHD (American Institute of Aeronautics and Astronautics, Reston, 1998), V. 182.
10. R. Moreau, O. Laskar, and M. Tanaka, in International Symposium on Electromagnetic Processing of Materials (Ref. 7).
11. Y.Y. Khine and J.S. Walker, in Proceedings of the First Hydromag Conference PAMIR, Aussois, France, 1997.
12. G. Müller, A. Ostrogorsky, in Handbook of Crystal Growth, edited by D.T.J.Hurle, (Elsevier Science, Amsterdam, 1994), Vol. 2.
13. D.T.J. Hurle and R.W. Series, in Handbook of Crystal Growth (Ref. 12).
14. I.N. Bronstein et al, Taschenbuch der Mathematik, 4th ed. (Verlag Harry Deutsch, Frankfurt am Main, 1999).
15. W.H. Press et al, Numerical Recipes (Cambrige University Press, Cambridge, 1986).
16. C. Normand, Y. Pomeau, and M.G. Velarde, Rev. Mod. Phys. 49, 591 (1977).