Principle of maximum entropy applied to Rayleigh-Bénard convection

Journal of the Physical Society of Japan

Volumn 75, Issue 12, 2006, Pages

  Kita, Takafumi ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

Boltzmann equation; Entropy; Nusselt number; Oberbeck Boussinesq approximation; Rayleigh B nard convection

Indexed keywords

EID: 33847319363     PISSN: 00319015     EISSN: 13474073     Source Type: Journal    
DOI: 10.1143/JPSJ.75.124005     Document Type: Article

References (27)

1. T. Kita: J. Phys. Soc. Jpn. 75 (2006) 114005.
2. S. Chandrasekhar: Hydrodynamic and Hydromagnetic Stability (Clarendon Press, Oxford, 1961).
3. F. H. Busse: Rep. Prog. Phys. 41 (1978) 1929.
4. R. P. Behringer: Rev. Mod. Phys. 57 (1985) 657.
5. V. Croquette: Comtemp. Phys. 30 (1989) 113;
6. V. Croquette: Comtemp. Phys. 30 (1989) 153.
7. M. C. Cross and P. C. Hohenberg: Rev. Mod. Phys. 65 (1993) 851.
8. E. L. Koschmieder: Bénard Cells and Taylor Vortices (Cambridge University Press, Cambridge, 1993).
9. J. R. de Bruyn, E. Bodenschatz, S. W. Morris, S. P. Trainoff, Y. Hu, D. S. Cannell and G. Ahlers: Rev. Sci. Instrum. 67 (1996) 2043.
10. E. Bodenschatz, W. Pesch and G. Ahlers: Annu. Rev. Fluid Mech. 32 (2000) 709.
11. D. D. Joseph: J. Fluid Mech. 47 (1971) 257.
12. E. A. Spiegel and G. Veronis: Astrophys. J. 131 (1960) 442;
13. E. A. Spiegel and G. Veronis: Astrophys. J. 135 (1962) 655.
14. J. M. Mihaljan: Astrophys. J. 136 (1962) 1126.
15. R. P. Cordon and M. G. Velarde: J. Phys. (Paris) 36 (1975) 591;
16. R. P. Cordon and M. G. Velarde: J. Phys. (Paris) 37 (1976) 177.
17. D. D. Gray and A. Giorgini: Int. J. Heat Mass Transfer 19 (1976) 545.
18. K. R. Rajagopal, M. Ruzicka and A. R. Srinivasa: Math. Mod. Methods Appl. Sci. 6 (1996) 1157.
19. S. Chapman and T. G. Cowling: The Mathematical Theory of Non-uniform Gases (Cambridge University Press, Cambridge, 1990).
20. J. O. Hirschfelder, C. F. Curtiss and R. B. Bird: Molecular Theory of Gases and Liquids (Wiley, New York, 1954).
21. L. D. Landau and E. M. Lifshitz: Mechanics (Pergamon, New York, 1976) Sect. 18.
22. F. Reif: Fundamentals of Statistical and Thermal Physics (McGraw-Hill, New York, 1965) Sect. 7.3.
23. A. Schlüter, D. Lortz and F. Busse: J. Fluid Mech. 23 (1965) 129.
24. J. Orban and A. Bellemans: Phys. Lett. A 24 (1967) 620.
25. C. Cercignani: Ludwig Boltzmann: The Man Who Trusted Atoms (Oxford University Press, Oxford, 1998) Sect. 5.4.
26. W. V. R. Malkus and G. Veronis: J. Fluid Mech. 4 (1958) 225.
27. Y. Hu, R. Ecke and G. Ahlers: Phys. Rev. E 48 (1993) 4399.