Linear Bénard-Marangoni instability in rigid circular containers

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

Volumn 56, Issue 1, 1997, Pages 520-530

  Dauby, P C ^a   Lebon, G ^a   Bouhy, E ^a  

^a UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001193784     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.520     Document Type: Article

References (38)

1. E L. Koschmieder, Bénard Cells and Taylor Vortices (Cambridge University Press, Cambridge, 1993).
2. H. Bénard, Rev. Gen. Sci. Pure Appl.11, 1261 (1900).
3. Lord Rayleigh, Philos. Mag.32, 529 (1916).
4. J. R. A. Pearson, J. Fluid Mech.4, 489 (1958).JFLSA7
5. D A. Nield, J. Fluid Mech.19, 341 (1964).JFLSA7
6. E L. Koschmieder and S A. Prahl, J. Fluid Mech.215, 571 (1990).JFLSA7
7. A. B. Ezersky, A. D. Preobrazhensky, and M. I. Rabinovich, Eur. J. Mech. B, Fluids, 10, 205 (1991).
8. T. Ondarçuhu, J. Millán-Rodríguez, H L. Mancini, A. Garcimartín, and C. Pérez-García, Phys. Rev. E48, 1051 (1993).PLEEE8
9. T. Ondarçuhu, G B. Mindlin, H L. Mancini, and C. Pérez-García, Phys. Rev. Lett.70, 3892 (1993).PRLTAO
10. D. Johnson and R. Narayanan, Phys. Rev. E54, R3102 (1996).PLEEE8
11. D. Schwabe, O. Dupont, P. Queeckers, and J C. Legros (unpublished).
12. S H. Davis, J. Fluid Mech.30, 465 (1967).JFLSA7
13. S. Rosenblat, S H. Davis, and G M. Homsy, J. Fluid Mech.120, 91 (1982).JFLSA7
14. S. Rosenblat, G M. Homsy, and S H. Davis, J. Fluid Mech.120, 123 (1982).JFLSA7
15. P C. Dauby, G. Lebon, P. Colinet, and J C. Legros, Q. J. Mech. Appl. Math.46, 683 (1993).QJMMAV
16. B. Echebarría, D. Krmpotic, and C. Pérez-García, Physica D99, 487 (1997).PDNPDT
17. D. Johnson and R. Narayanan (unpublished).
18. K H. Winters and Th. Plesser, Physica D29, 387 (1988).PDNPDT
19. A. I. van de Vooren and H A. Dijkstra, Comput. Fluids17, 467 (1989).CPFLBI
20. H A. Dijkstra, J. Fluid Mech.243, 73 (1992).JFLSA7
21. H A. Dijkstra, Microgravity Sci. Technol.VII, 307 (1995).MSTYEN
22. H A. Dijkstra, Microgravity Sci. Technol.VIII, 70 (1995).MSTYEN
23. H A. Dijkstra, Microgravity Sci. Technol.VIII, 155 (1995).MSTYEN
24. P C. Dauby and G. Lebon, J. Fluid Mech.329, 25 (1996).JFLSA7
25. J S. Vrentas, R. Narayanan, and S S. Agrawal, Int. J. Heat Mass Transf.24, 1513 (1981).IJHMAK
26. J.-C. Chen, J.-Y. Chen, and Z.-C. Hong (unpublished).
27. C. Wagner, R. Friedrich, and R. Narayanan, Phys. Fluids6, 1425 (1994).PHFLE6
28. A A. Zaman and R. Narayanan, J. Colloid Interface Sci.179, 151 (1996).JCISA5
29. C. Canuto, M Y. Hussaini, A. Quarteroni, and T A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, Berlin, 1988).
30. C. Normand, Y. Pomeau, and M. Velarde, Rev. Mod. Phys.49, 581 (1977).RMPHAT
31. P. Parmentier, V. Regnier, G. Lebon, and J.-C. Legros, Phys. Rev. E54, 411 (1996).PLEEE8
32. M. Golubitsky and D. G. Schaeffer, Singularities and Group in Bifurcation Theory (Springer, New York, 1985), Vol. 1.
33. M. Golubitsky, I. Steward, and D. G. Schaeffer, Singularities and Group in Bifurcation Theory (Springer, New York, 1988), Vol. 2.
34. J D. Crawford and E. Knobloch, Annu. Rev. Fluid Mech.23, 341 (1991).ARVFA3
35. K A. Cliffe and K H. Winters, J. Comput. Phys.67, 310 (1986).JCTPAH
36. A X. Zhao, F C. Moates, and R. Narayanan, Phys. Fluids7, 1576 (1995).PFLDAS
37. R. Narayanan (private communication).
38. D. Johnson, R. Narayanan, and P C. Dauby (unpublished).