Quasiperiodic patterns in Rayleigh-Bénard convection under gravity modulation

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

Volumn 56, Issue 5, 1997, Pages 5423-5430

  Volmar, Ulrike E ^a   Müller, Hanns Walter ^a  

^a SAARLAND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012068851     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.5423     Document Type: Article

References (30)

1. For a review see S. H. Davis, Annu. Rev. Fluid Mech. 8, 57 (1976).ARVFA3
2. G. J. Venezian, J. Fluid Mech. 35, 243 (1969).JFLSA7
3. P. M. Gresho and R. L. Sani, J. Fluid Mech. 40, 783 (1970).JFLSA7
4. S. Rosenblat and G. A. Tanaka, Phys. Fluids 14, 1319 (1971).PFLDAS
5. G. Ahlers, P. C. Hohenberg, and M. Lücke, Phys. Rev. Lett. 53, 48 (1983); PRLTAO
6. Phys. Rev. A 32, 3493 (1984).PLRAAN
7. P. C. Hohenberg and J. B. Swift, Phys. Rev. A 35, 3855 (1987).PLRAAN
8. S. Biringen and L. J. Peltier, Phys. Fluids A 2, 754 (1990).PFADEB
9. R. Clever, G. Schubert, and F. H. Busse, J. Fluid Mech. 253, 663 (1993).JFLSA7
10. R. Clever, G. Schubert, and F. H. Busse, Phys. Fluids A 5, 2430 (1993).PFADEB
11. M. C. Cross, P. C. Hohenberg, and M. Lücke, J. Fluid Mech. 136, 269 (1983).JFLSA7
12. M. N. Roppo, S. H. Davis, and S. Rosenblat, Phys. Fluids 27, 796 (1984).PFLDAS
13. R. G. Finucane and R. E. Kelly, Int. J. Heat Mass Transf. 19, 71 (1976).IJHMAK
14. G. Ahlers, P. C. Hohenberg, and M. Lücke, Phys. Rev. A 32, 3519 (1985).PLRAAN
15. J. J. Niemela and R. J. Donnelly, Phys. Rev. Lett. 57, 583 (1986); PRLTAO
16. 59, 2431 (1987).
17. C. W. Meyer, D. S. Cannell, G. Ahlers, J. B. Swift, and P. C. Hohenberg, Phys. Rev. Lett. 61, 947 (1988).PRLTAO
18. C. W. Meyer, D. S. Cannell, and G. Ahlers, Phys. Rev. A 45, 8583 (1992).PLRAAN
19. W. S. Edwards and S. Fauve, J. Fluid Mech. 278, 123 (1994).JFLSA7
20. We are considering systems with rotational symmetry in the pattern forming plane. Accordingly, the set of critical wave vectors is always a circle with radius (Formula presented)
21. E. Palm, J. Fluid Mech. 8, 183 (1960).JFLSA7
22. A. Schlüter, D. Lortz, and F. H. Busse, J. Fluid Mech. 23, 129 (1965).JFLSA7
23. F. H. Busse, J. Fluid Mech. 30, 625 (1967), and cited references.JFLSA7
24. S. Chandraskhar, Hydrodynamic and Hydromagnetic Stability (Clarendon, Oxford, 1961).
25. J. Niederländer, M. Lücke, and M. Kamps, Z. Phys. B 82, 135 (1991).ZPCMDN
26. A. H. Nayfeh and D. T. Mook, Nonlinear Oscillations (Wiley, New York, 1979).
27. In order to show how to return to dimensional units we give here an example for a thin methanol layer ((Formula presented) (Formula presented) (Formula presented) (Formula presented) (Formula presented) (Formula presented)): (Formula presented) (forcing frequency), (Formula presented) (acceleration), and (Formula presented) (peak elevation). The critical Rayleigh number of (Formula presented) corresponds to a temperature difference betweeen the plates of (Formula presented) In view of the high peak elevation and the considerable temperature difference an experimental realization is probably difficult.
28. L. A. Segel and J. T. Stuart, J. Fluid Mech. 13, 289 (1962).JFLSA7
29. E. Palm, T. Ellingsen, and B. Gjevik, J. Fluid Mech. 30, 651 (1967).JFLSA7
30. E. N. Lorenz, J. Atmos. Sci. 20, 130 (1963). JAHSAK