Linear stability analysis of the Hele-Shaw cell with lifting plates

European Physical Journal B

Volumn 1, Issue 1, 1998, Pages 123-127

  Zhang, S Z ^a,c   Louis, E ^a   Pla, O ^b   Guinea, F ^b  

^a UNIVERSITY OF ALICANTE   (Spain)

^b INSTITUTO DE CIENCIA DE MATERIALES DE MADRID   (Spain)

^c Physics Department   (China)

Author keywords

47.20. k Hydrodynamics stability; 68.10. m Fluid surfaces and fluid fluid interfaces

Indexed keywords

FLUID DYNAMICS; HYDRODYNAMICS; INTERFACES (MATERIALS); STABILITY;

FLUID SURFACE; HELE-SHAW CELL; HYDRODYNAMIC STABILITY;

VISCOUS FLOW;

EID: 0031621419     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510050161     Document Type: Article

References (16)

1. P.G. Saffman, G.I. Taylor, Proc. R. Soc. Lond. 245, 312 (1958).
2. D.C. Hong, J.S. Langer, Phys. Rev. Lett. 56, 2032 (1986); J.V. Maher, ibid. 54, 1498 (1985); B.I. Schraiman, ibid. 56, 2028 (1985).
3. D.C. Hong, J.S. Langer, Phys. Rev. Lett. 56, 2032 (1986); J.V. Maher, ibid. 54, 1498 (1985); B.I. Schraiman, ibid. 56, 2028 (1985).
4. D.C. Hong, J.S. Langer, Phys. Rev. Lett. 56, 2032 (1986); J.V. Maher, ibid. 54, 1498 (1985); B.I. Schraiman, ibid. 56, 2028 (1985).
5. K.V. McCloud, J.V. Maher, Phys. Rep. 260, 139 (1995).
6. K. J. Ruschak, Ann. Rev. Fluid Mech. 17, 65 (1985).
7. E. Ben-Jacob, R. Godbey, N.D. Goldenfeld, H. Levine, T. Mueller, L.M. Sander, Phys. Rev. Lett. 55, 1315 (1985).
8. J. S. Langer, Rev. Mod. Phys. 52, 1 (1980).
9. W. Kurz, D.J. Fisher, Fundamentals of Solidification (Trans Tech Publications, Switzerland, 1989).
10. H. Zhao, J. Casademunt, C. Yeung, J.V. Maher, Phys. Rev. A 45, 2455 (1992).
11. J.R.A. Pearson, J. Fluid Mech. 7, 481 (1959).
12. H. La Roche, J.F. Fernández, M. Octavio, A.G. Loeser, C.J. Lobb, Phys. Rev. A 44, R6185 (1991).
13. E. Louis, O. Pla, L.M. Sander, F. Guinea, Modern Phys. Lett. B 8, 1739 (1994).
14. L.D. Landau, E.M. Lifshitz, Fluid Mechanics (Pergamon Press, New York, 1987).
15. D. Bensimon, L.P. Kadanoff, S. Liang, B.I. Schraiman, C. Tang, Rev. Mod. Phys. 58, 977 (1986).
16. C.-W. Park, G.M. Homsy, J. Fluid Mech. 139, 291 (1984).