Saffman-Taylor instability for generalized Newtonian fluids

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 1, 2009, Pages

  Mora, S ^a   Manna, M ^b  

^a UNIVERSITÉ MONTPELLIER 2   (France)

^b UNIVERSITÉ MONTPELLIER II   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL APPROACH; DARCY'S LAW; GENERALIZED NEWTONIAN FLUID; HELE-SHAW CELLS; HIGH SHEAR RATE; LARGE CLASS; NEWTONIAN FLUIDS; NON-NEWTONIAN FLUIDS; NORMAL MODES; SAFFMAN-TAYLOR INSTABILITY; SHEAR THINNING FLUIDS; SHEAR-THICKENING FLUIDS;

CELL MEMBRANES; DRAG; FLUID DYNAMICS; FLUIDS; GROUNDWATER FLOW; NEWTONIAN FLOW; NEWTONIAN LIQUIDS; SEEPAGE; SHEAR DEFORMATION;

NON NEWTONIAN FLOW;

EID: 68949107778     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.016308     Document Type: Article

References (28)

1. P. G. Saffman and G. I. Taylor, Proc. R. Soc. London, Ser. A 245, 312 (1958). 10.1098/rspa.1958.0085
2. D. Bensimon, L. Kadanoff, S. Liang, B. Shraiman, and C. Tang, Rev. Mod. Phys. 58, 977 (1986). 10.1103/RevModPhys.58.977
3. K. McCloud and J. Maher, Phys. Rep. 260, 139 (1995). 10.1016/0370- 1573(95)91133-U
4. G. Batchelor, H. Moffatt, and M. Worster, Perspectives in Fluid Dynamics (Cambrige University Press, Cambridge, England, 2000).
5. A. Buka, J. Kertez, and T. Vicsek, Nature (London) 323, 424 (1986). 10.1038/323424a0
6. A. Buka and P. Palffy-Muhoray, J. Phys. (France) 49, 1319 (1988).
7. H. Zhao and J. V. Maher, Phys. Rev. E 47, 4278 (1993). 10.1103/PhysRevE.47.4278
8. E. Lemaire, P. Levitz, G. Daccord, and H. Van Damme, Phys. Rev. Lett. 67, 2009 (1991). 10.1103/PhysRevLett.67.2009
9. D. Bonn, H. Kellay, M. Bräunlich, M. Ben Amar, and J. Meunier, Physica A 220, 60 (1995). 10.1016/0378-4371(95)00114-M
10. P. Coussot, J. Fluid Mech. 380, 363 (1999). 10.1017/S002211209800370X
11. A. Lindner, D. Bonn, and J. Meunier, Phys. Fluids 12, 256 (2000). 10.1063/1.870303
12. A. Lindner, D. Bonn, and J. Meunier, J. Phys.: Condens. Matter 12, A477 (2000). 10.1088/0953-8984/12/8A/366
13. A. Lindner, P. Coussot, and D. Bonn, Phys. Rev. Lett. 85, 314 (2000). 10.1103/PhysRevLett.85.314
14. S. Wilson, J. Fluid Mech. 220, 413 (1990). 10.1017/S0022112090003329
15. M. Constantin, M. Widom, and J. A. Miranda, Phys. Rev. E 67, 026313 (2003). 10.1103/PhysRevE.67.026313
16. J. E. Sader, D. Y. C. Chan, and B. D. Hughes, Phys. Rev. E 49, 420 (1994). 10.1103/PhysRevE.49.420
17. P. Fast, L. Kondic, M. Shelley, and P. Palffy-Muhoray, Phys. Fluids 13, 1191 (2001). 10.1063/1.1359417
18. G. Astarita and G. Marrucci, Principles of Non-Newtonian Fluid Mechanics (McGraw-Hill, New York, 1974).
19. C. Macosko, Rheology: Principles, Measurements and Applications (Wiley, New York, 1994).
20. L. Kondic, P. Palffy-Muhoray, and M. J. Shelley, Phys. Rev. E 54, R4536 (1996). 10.1103/PhysRevE.54.R4536
21. L. Kondic, M. J. Shelley, and P. Palffy-Muhoray, Phys. Rev. Lett. 80, 1433 (1998). 10.1103/PhysRevLett.80.1433
22. M. Ben Amar, Phys. Rev. E 51, R3819 (1995). 10.1103/PhysRevE.51.R3819
23. E. Corvera Poiré and M. Ben Amar, Phys. Rev. Lett. 81, 2048 (1998). 10.1103/PhysRevLett.81.2048
24. H. A. Barnes, J. F. Hutton, and K. Walters, An Introduction to Rheology (Elsevier, Amsterdam, 1989).
25. V. Herle, J. Kohlbrecher, B. Pfister, P. Fischer, and E. J. Windhab, Phys. Rev. Lett. 99, 158302 (2007). 10.1103/PhysRevLett.99.158302
26. A. Fall, N. Huang, F. Bertrand, G. Ovarlez, and D. Bonn, Phys. Rev. Lett. 100, 018301 (2008). 10.1103/PhysRevLett.100.018301
27. J. Nase, A. Lindner, and C. Creton, Phys. Rev. Lett. 101, 074503 (2008). 10.1103/PhysRevLett.101.074503
28. P. G. Drazin and W. H. Reid, Hydrodynamic Stability (Cambridge University Press, Cambridge, England, 2004).