Scaling of the Reynolds number in turbulent thermal convection

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

Volumn 72, Issue 6, 2005, Pages

  Sun, Chao ^a   Xia, Ke Qing ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

HEAT CONVECTION; NATURAL FREQUENCIES; TURBULENCE; TURBULENT FLOW;

CIRCULATION FREQUENCY; FREQUENCY MEASUREMENTS; TURBULENT THERMAL CONVECTION;

REYNOLDS NUMBER;

EID: 33244470143     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.067302     Document Type: Article

References (38)

1. E. Siggia, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid. 26.1.137 26, 137 (1994).
2. S. Grossmann and D. Lohse, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112099007545 407, 27 (2000).
3. L. Kadanoff, Phys. Today PHTOAD 0031-9228 54 (8), 34 (2001).
4. R. Krishnamurti and L. N. Howard, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 78, 1981 (1981).
5. X.-L. Qiu and P. Tong, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66. 026308 66, 026308 (2002).
6. S. Grossmann and D. Lohse, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.016305 66, 016305 (2002).
7. X. Chavanne, F. Chillà, B. Chabaud, B. Castaing, and B. Hébral, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1355683 13, 1300 (2001).
8. X.-L. Qiu and P. Tong, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64. 036304 64, 036304 (2001).
9. B. Castaing, J. Fluid Mech. JFLSA7 0022-1120 204, 1 (1989).
10. T. Takeshita, T. Segawa, J. A. Glazier, and M. Sano, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1465 76, 1465 (1996).
11. A. Naert, T. Segawa, and M. Sano, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.R1302 56, R1302 (1997).
12. S. Cioni, S. Ciliberto, and J. Sommeria, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112096004491 335, 111 (1997).
13. X.-L. Qiu and P. Tong, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.094501 87, 094501 (2001).
14. J. J. Niemela, L. Skrbek, K. R. Sreenivasan, and R. J. Donnelly, J. Fluid Mech. JFLSA7 0022-1120 449, 169 (2001).
15. D. Funfschilling and G. Ahlers, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.194502 92, 194502 (2004).
16. S. Ashkenazi and V. Steinberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.3641 83, 3641 (1999).
17. S. Lam, X.-D. Shang, S.-Q. Zhou, and K.-Q. Xia, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.066306 65, 066306 (2002).
18. C. Sun, K.-Q. Xia, and P. Tong, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.026302 72, 026302 (2005).
19. C. Sun, L.-Y. Ren, H. Song, and K.-Q. Xia, J. Fluid Mech. JFLSA7 0022-1120 542, 165 (2005).
20. S.-Q. Zhou and K.-Q. Xia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.064501 87, 064501 (2001).
21. J. J. Niemela and K. R. Sreenivasan, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00447-3 62, 829 (2003).
22. K.-Q. Xia, C. Sun, and S.-Q. Zhou, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.066303 68, 066303 (2003).
23. H.-D. Xi, S. Lam, and K.-Q. Xia, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112004008079 503, 47 (2004).
24. R. M. Kerr, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87. 244502 87, 244502 (2001).
25. See, for example, D. J. Tritton, Physical Fluid Dynamics, 2nd ed. (Clarendon Press, Oxford, 1988). The software TecPlot is used to determine the particle path.
26. G. Ahlers, E. Brown, and A. Nikolaenko (unpublished).
27. X.-D. Shang and K.-Q. Xia, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.065301 64, 065301 (R) (2001).
28. S.-Q. Zhou, C. Sun, and K.-Q. Xia (unpublished).
29. X.-L. Qiu, X.-D. Shang, P. Tong, and K.-Q. Xia, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1637350 16, 412 (2004).
30. M. Sano, X.-Z. Wu, and A. Libchaber, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40.6421 40, 6421 (1989).
31. Y.-B. Xin, K.-Q. Xia, and P. Tong, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1266 77, 1266 (1996).
32. X. Chavanne, F. Chillà, B. Castaing, B. Hébral, B. Chabaud, and J. Chaussy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.3648 79, 3648 (1997).
33. X.-L. Qiu and K.-Q. Xia, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.486 58, 486 (1998).
34. X.-L. Qiu, S.-H. Yao, and P. Tong, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.R6075 61, R6075 (2000).
35. E. Brown, A. Nikolaenko, and G. Ahlers, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.084503 95, 084503 (2005).
36. F. F. Araujo, S. Grossmann, and D. Lohse, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.084502 95, 084502 (2005).
37. H.-D. Xi, Q. Zhou, and K.-Q. Xia (unpublished).
38. R. Verzicco and R. Camussi, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112098003619 383, 55 (1999).