Nonlinear effects due to gravity in a conical Hele-Shaw cell

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

Volumn 65, Issue 3, 2002, Pages

  Miranda, José A ^a  

^a FEDERAL UNIVERSITY OF PERNAMBUCO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

AGGLOMERATION; CELLS; CONTACTS (FLUID MECHANICS); DENSITY (SPECIFIC GRAVITY); DIFFUSION; FLOW PATTERNS; GRAVITATION; PRESSURE EFFECTS; TOPOLOGY; VISCOUS FLOW;

CELL TOPOLOGY; HELE-SHAW CELLS; NONLINEAR EFFECTS; VISCOUS FINGERING;

CONES;

EID: 37649030165     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.036310     Document Type: Article

References (24)

1. P. G. Saffman and G. I. Taylor, Proc. R. Soc. London, Ser. A 245, 312 (1958).
2. D. Bensimon, L. P. Kadanoff, S. Liang, B. I. Shraiman, and C. Tang, Rev. Mod. Phys. 58, 977 (1986);
3. G. Homsy, Annu. Rev. Fluid Mech. 19, 271 (1987);
4. K. V. McCloud and J. V. Maher, Phys. Rep. 260, 139 (1995).
5. L. Paterson, J. Fluid Mech. 113, 513 (1981).
6. J.-D. Chen, J. Fluid Mech. 201, 223 (1989).
7. H. Thomé, M. Rabaud, V. Hakim, and Y. Couder, Phys. Fluids A 1, 224 (1989).
8. E. Lajeunesse and Y. Couder, J. Fluid Mech. 419, 125 (2000).
9. F. Parisio, F. Moraes, J. A. Miranda, and M. Widom, Phys. Rev. E 63, 036307 (2001).
10. J. A. Miranda, F. Parisio, F. Moraes, and M. Widom, Phys. Rev. E 63, 016311 (2001).
11. J. A. Miranda, Phys. Rev. E 65, 026303 (2002).
12. J. A. Miranda and F. Moraes (unpublished).
13. H. Zhao and J. V. Maher, Phys. Rev. A 42, 5894 (1990).
14. L. W. Schwartz and D. E. Weidner, J. Eng. Math. 29, 91 (1995).
15. A. Oron, S. H. Davis, and S. G. Bankoff, Rev. Mod. Phys. 69, 931 (1997).
16. S. Kalliadasis, C. Bielarz, and G. M. Homsy, Phys. Fluids 12, 1889 (2000).
17. J. A. Diez and L. Kondic, Phys. Rev. Lett. 86, 632 (2001).
18. M. P. do Carmo, Differential Geometry of Curves and Surfaces (Prentice Hall, New York, 1977).
19. B. A. Dubrovin, A. T. Fomenko, and S. P. Novikov, Modern Geometry-Methods and Applications, Parts 1 and 2 (Springer-Verlag, New York, 1984).
20. D. M. Tavares and C. Romero, Mod. Phys. Lett. A 13, 2077 (1998).
21. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, New York, 1987).
22. J. A. Miranda and M. Widom, Physica D 120, 315 (1998).
23. F. X. Magdaleno, A. Rocco, and J. Casademunt, Phys. Rev. E 62, R5887 (2000).
24. D. A. Kessler, Z. Olami, J. Oz, I. Procaccia, E. Somfai, and L. M. Sander, Phys. Rev. E 57, 6913 (1998).