Bénard-Marangoni instability in rigid rectangular containers

Journal of Fluid Mechanics

Volumn 329, Issue , 1996, Pages 25-64

  Dauby, P C ^a   Lebon, G ^a  

^a UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

CONTAINERS; FLOW PATTERNS; HEAT CONVECTION; NUMERICAL METHODS; SURFACE TENSION; THERMAL EFFECTS; WALLS (STRUCTURAL PARTITIONS);

BENARD MARANGONI INSTABILITY; BIOT NUMBER; THERMOCAPILLARY CONVECTION;

CAPILLARY FLOW;

EID: 0030382322     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096008816     Document Type: Article

References (37)

1. BéNARD, H. 1900 Rev. Gen. Sci. Pure Appl. 11, 1261.
2. CANUTO, C., HUSSAINI, M. Y., QUARTERONI, A. & ZANG, T. A. 1988 Spectral Methods in Fluid Dynamics. Springer.
3. CHANDRASEKHAR, S. 1961 Hydrodynamic and Hydromagnetic Stability. Clarendon.
4. DAUBY, P. C. 1994 Instabilités thermocapillaires et effets de confinement. PhD thesis, University of Liège, Belgium.
5. DAUBY, P. C. & LEBON, G. 1994 Series on Advances in Mathematics for Applied Sciences (ed. S. Rionero & T. Ruggeri), vol. 23, pp. 118-123. World Scientific. (Proc. of the VII Intl Conf. on Waves and Stability in Continuous Media, Bologna, Italy, 4-9 October 1993).
6. DAUBY, P. C., LEBON, G. & COLINET, P. 1996 Series on Advances in Mathematics for Applied Sciences. World Scientific. (Proc. of the VIII Int. Conf. on Waves and Stability in Continuous Media, Palermo, Italy, 9-15 October 1995).
7. DAUBY, P. C., LEBON, G., COLINET, P. & LEGROS, J. C. 1993 Q. J. Mech. Appl. Maths, 46, 683.
8. DAVIES-JONES, R. P. 1970 J. Fluid Mech. 44, 695.
9. DAVIS, S. H. 1967 J. Fluid Mech.30, 465.
10. DIJKSTRA, H. A. 1992 J. Fluid Mech. 243, 73.
11. DIJKSTRA, H. A. 1995a Microgravity Sci. Technol. 7, 307.
12. DIJKSTRA, H. A. 1995b Microgravity Sci. Technol. 8, 70.
13. DIJKSTRA, H. A. 1995c Microgravity Sci. Technol. 8, 155.
14. ECKHAUS, W. 1965 Studies in Nonlinear Stability Theory. Springer.
15. FINLAYSON, B. A. 1972 The Method of Weighted Residuals and Variational Principles. Academic.
16. FOIAS, C., JOLLY, M. S., KEVREKIDIS, I. G., SELL, G. R. & TITI, E. S. 1988 Phys. Lett. A 131, 433.
17. HAKEN, H. 1983 Advanced Synergetics. Springer.
18. KOSCHMIEDER, E. L. 1993 Bénard Cells and Taylor Vortices. Cambridge University Press.
19. KOSCHMIEDER, E. L. & BIGGERSTAFF, M. I. 1986 J. Fluid Mech. 167, 49.
20. KOSCHMIEDER, E. L. & PRAHL, S. A. 1990 J. Fluid Mech. 215, 571.
21. LEBON, G. & PÉREZ-GARCÍA, C. 1980 Bull. Classe Sci., Acad. R. Belg. 64, 520.
22. LUIJKX, J. M. & PLATTEN, J. K. 1981 J. Non-equilibr. Therm. 6, 141.
23. MANNEVILLE, P. 1990 Dissipative Structures and Weak Turbulence. Academic.
24. NIELD, D. A. 1964 J. Fluid Mech. 19, 341.
25. PARMENTIER, P., REGNIER, V., LEBON, G. & LEGROS, J.-C. 1996 Phys. Rev. E 53 (to be published).
26. PEARSON, J. R A. 1958 J. Fluid Mech. 4, 489.
27. PELLEW, A. & SOUTHWELL, R. V. 1940 Prov. R. Soc. A 176, 312.
28. PLATTEN, J. K. & LEGROS, J. C. 1984 Convection in Liquids. Springer.
29. RAYLEIGH, LORD 1916 Phil. Mag. 32, 529.
30. ROSENBLAT, S., DAVIS, S. H. & HOMSY, G. M. 1982a J. Fluid Mech. 120, 91.
31. ROSENBLAT, S., HOMSY, G. M. & DAVIS, S. H. 1982b J. Fluid Mech. 120, 123.
32. SEYDEL, R. 1988 From Equilibrium to Chaos. Elsevier.
33. TAKASHIMA, M. 1970 J. Phys. Soc. Japan 28, 810.
34. VIDAL, A. & ACRIVOS, A. 1966 Phys. Fluids 9, 615.
35. VOOREN, A. I. VAN DE & DIJKSTRA, H. A. 1989 Comput. Fluids 17, 467.
36. WINTERS, K. H. & PLESSER, TH. 1988 Physica D 29, 387.
37. ZAMAN, A. A. & NARAYANAN, R. 1996 J. Colloid Interface Sci. 179, 151.