Convective instabilities in two superposed horizontal liquid layers heated laterally

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

Volumn 68, Issue 4 1, 2003, Pages 416071-4160712

  Madruga, S ^a,b   Perez Garcia C ^b,c   Lebon, G ^a  

^a UNIVERSITY OF LIÈGE   (Belgium)

^b UNIVERSITY OF NAVARRA   (Spain)

^c TECNUN UNIVERSITY OF NAVARRA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BUOYANCY; CAPILLARITY; CRYSTALLIZATION; HEAT CONVECTION; HEATING; NUMERICAL METHODS; PERTURBATION TECHNIQUES; WAVE PROPAGATION;

HYDROTHERMAL WAVES; VERTICAL HEATING;

BOUNDARY LAYERS;

EID: 18544405837     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. M.F. Schatz and G.P. Neitzel, Annu. Rev. Fluid Mech. 33, 93 (2001).
2. M.K. Smith and S.H. Davis, J. Fluid Mech. 132, 119 (1983).
3. M.K. Smith, Phys. Fluids 29, 3182 (1986).
4. P. Parmentier, V. Regnier, and G. Lebon, Int. J. Heat Mass Transfer 36, 2417 (1993).
5. G.Z. Gershuni, P. Laure, V.M. Myznikov, B. Roux, and E.M. Zhukhovitsky, Microgravity Q. 2, 141 (1992).
6. J.F. Mercier and C. Normand, Phys. Fluids 8, 1433 (1996).
7. F. Daviaud and J.M. Vince, Phys. Rev. E 48, 4432 (1993).
8. J. Priede and G. Gerbeth, Phys. Rev. E 56, 4187 (1997).
9. R.J. Riley and G.P. Neitzel, J. Fluid Mech. 359, 143 (1998).
10. M.K. Smith, J. Fluid Mech. 194, 391 (1988).
11. M.A. Pelacho, A. Garcimartín, and J. Burguete, Phys. Rev. E 62, 477 (2000); J. Burguete, N. Mukolobwiez, F. Daviaud, N. Garnier, and A. Chiffaudel, Phys. Fluids 13, 2773 (2001).
12. M.A. Pelacho, A. Garcimartín, and J. Burguete, Phys. Rev. E 62, 477 (2000); J. Burguete, N. Mukolobwiez, F. Daviaud, N. Garnier, and A. Chiffaudel, Phys. Fluids 13, 2773 (2001).
13. W.A. Tokaruk, T.C.A. Molteno, and S.W. Morris, Phys. Rev. Lett. 84, 3590 (2000).
14. D.D. Joseph and Y.Y. Renardy, Fundamentals of Two-fluid Dynamics (Springer, Berlin 1993); I.B. Simanovski and A.A. Nepomnyashchy, Connective Instabilities in Systems with Interface (Gordon and Breach, London, 1993); P. Colinet, P. Géoris, J.C. Legros, and G. Lebon, Phys. Rev. E 54, 514 (1996); A. Engel and J.B. Swift, ibid. 62, 6540 (2000).
15. D.D. Joseph and Y.Y. Renardy, Fundamentals of Two-fluid Dynamics (Springer, Berlin 1993); I.B. Simanovski and A.A. Nepomnyashchy, Connective Instabilities in Systems with Interface (Gordon and Breach, London, 1993); P. Colinet, P. Géoris, J.C. Legros, and G. Lebon, Phys. Rev. E 54, 514 (1996); A. Engel and J.B. Swift, ibid. 62, 6540 (2000).
16. D.D. Joseph and Y.Y. Renardy, Fundamentals of Two-fluid Dynamics (Springer, Berlin 1993); I.B. Simanovski and A.A. Nepomnyashchy, Connective Instabilities in Systems with Interface (Gordon and Breach, London, 1993); P. Colinet, P. Géoris, J.C. Legros, and G. Lebon, Phys. Rev. E 54, 514 (1996); A. Engel and J.B. Swift, ibid. 62, 6540 (2000).
17. D.D. Joseph and Y.Y. Renardy, Fundamentals of Two-fluid Dynamics (Springer, Berlin 1993); I.B. Simanovski and A.A. Nepomnyashchy, Connective Instabilities in Systems with Interface (Gordon and Breach, London, 1993); P. Colinet, P. Géoris, J.C. Legros, and G. Lebon, Phys. Rev. E 54, 514 (1996); A. Engel and J.B. Swift, ibid. 62, 6540 (2000).
18. C.D. Andereck, P.W. Colovas, M.M. Degen, and Y.Y. Renardy, Int. J. Eng. Sci. 36, 1451 (1998).
19. A. Juel, J.M. Burgess, W.D. McCormick, J.B. Swift, and H.L. Swinney, Physica D 143, 169 (2000).
20. P. Cardin and H.C. Nataf, Europhys. Lett. 14, 655 (1991).
21. D. Villers and J.K. Platten, Appl. Sci. Res. 45, 145 (1988); 47, 177 (1990).
22. D. Villers and J.K. Platten, Appl. Sci. Res. 45, 145 (1988); 47, 177 (1990).
23. T. Doi and J.N. Koster, Phys. Fluids A 5, 1914 (1993).
24. Q.S. Liu, G. Chen, and G. Roux, Int. J. Heat Mass Transfer 36, 101 (1993).
25. Q.S. Liu, B. Roux, and M.G. Velarde, Int. J. Heat Mass Transfer 41, 1499 (1998).
26. J.K. Platten and D. Villers, in Physicochemical Hydrodynamics: Interfacial Phenomena, Vol. 174 of NATO Advanced Studies Institute, Series B, Physics, edited by M.G. Velarde (Plenum, New York, 1988), p. 311.
27. G. Carneiro and C. Pérez-García, Phys. Fluids 3, 292 (1991).
28. V.C. Regnier, P.C. Dauby, and G. Lebon, Phys. Fluids 12, 2787 (2000).
29. K. Fujimura and Y. Renardy, Physica D 85, 25 (1995).