Connecting flow structures and heat flux in turbulent Rayleigh- Bénard convection

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

Volumn 84, Issue 4, 2011, Pages

  Van Der Poel, Erwin P ^a   Stevens, Richard J A M ^a   Lohse, Detlef ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

INITIAL CONDITIONS; RATIO DEPENDENCE; RAYLEIGH; RAYLEIGH NUMBER; RICH STRUCTURE; SHARP TRANSITION; TURBULENT STATE;

HEAT FLUX; NUSSELT NUMBER;

ASPECT RATIO;

EID: 80054973776     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.045303     Document Type: Article

References (45)

1. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 30, 9 (1941)
2. A. N. Kolmogorov, [reprinted in Proc. R. Soc. London A 1364-5021 10.1098/rspa.1991.0075 434, 9 (1991)].
3. P. P. Cortet, A. Chiffaudel, F. Daviaud, and B. Dubrulle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.214501 105, 214501 (2010);
4. R. Monchaux, F. Ravelet, B. Dubrulle, A. Chiffaudel, and F. Daviaud, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.124502 96, 124502 (2006);
5. A. de la Torre and J. Burguete, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.054101 99, 054101 (2007). (Pubitemid 47210330)
6. F. Ravelet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101. 074502 101, 074502 (2008);
7. R. Monchaux, Phys. Fluids PHFLE6 1070-6631 10.1063/1.3085724 21, 035108 (2009);
8. M. Berhanu, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2010-00272-5 77, 459 (2010).
9. R. J. A. M. Stevens, J. Q. Zhong, H. J. H. Clercx, G. Ahlers, and D. Lohse, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.024503 103, 024503 (2009);
10. S. Weiss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105. 224501 105, 224501 (2010).
11. D. S. Zimmerman, A. A. Triana, and D. P. Lathrop, Phys. Fluids PHFLE6 1070-6631 10.1063/1.3593465 23, 065104 (2011);
12. P. E. Roche, B. Castaing, B. Chabaud, and B. Hebral, Europhys. Lett. 0295-5075 10.1209/epl/i2002-00405-1 58, 693 (2002);
13. F. Chilla, M. Rastello, S. Chaumat, and B. Castaign, Euro. Phys. J. B 1434-6028 10.1140/epjb/e2004-00261-3 40, 223 (2004);
14. C. Sun, H.-D. Xi, and K.-Q. Xia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.074502 95, 074502 (2005); (Pubitemid 41505992)
15. H.-D. Xi and K.-Q. Xia, Phys. Fluids 1070-6631 10.1063/1.2920444 20, 055104 (2008); (Pubitemid 351784952)
16. S. Weiss and G. Ahlers, J. Fluid Mech. 0022-1120 10.1017/ S0022112010005963 676, 5 (2011).
17. G. Ahlers, D. Funfschilling, and E. Bodenschatz, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/13/4/049401 13, 049401 (2011).
18. S. Grossmann and D. Lohse, Phys. Fluids PHFLE6 1070-6631 10.1063/1.3582362 23, 045108 (2011).
19. P. E. Roche, G. Gauthier, R. Kaiser, and J. Salort, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/8/085014 12, 085014 (2010).
20. E. Bodenschatz, W. Pesch, and G. Ahlers, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.32.1.709 32, 709 (2000). (Pubitemid 36145007)
21. G. Ahlers, S. Grossmann, and D. Lohse, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.81.503 81, 503 (2009).
22. C. Sun, H. D. Xi, and K.-Q. Xia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.074502 95, 074502 (2005); (Pubitemid 41505992)
23. H. D. Xi and K.-Q. Xia, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2920444 20, 055104 (2008). (Pubitemid 351784952)
24. S. Grossmann and D. Lohse, J. Fluid. Mech. JFLSA7 0022-1120 10.1017/S0022112003004270 486, 105 (2003). (Pubitemid 36882118)
25. E. S. C. Ching and W. S. Tam, J. Turbulence JFLSA7 1468-5248 10.1080/14685240500307389 7, 1 (2006). (Pubitemid 43173731)
26. J. Bailon-Cuba, M. S. Emran, and J. Schumacher, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112010000820 655, 152 (2010).
27. D. Funfschilling, E. Brown, A. Nikolaenko, and G. Ahlers, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112005005057 536, 145 (2005). (Pubitemid 41174787)
28. A. Nikolaenko, E. Brown, D. Funfschilling, and G. Ahlers, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112004002289 523, 251 (2005). (Pubitemid 40252440)
29. C. Sun, L.-Y. Ren, H. Song, and K.-Q. Xia, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112005006610 542, 165 (2005). (Pubitemid 41655592)
30. E. E. DeLuca, J. Werne, R. Rosner, and F. Cattaneo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.2370 64, 2370 (1990);
31. J. Werne, E. E. DeLuca, R. Rosner, and F. Cattaneo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.3519 67, 3519 (1991);
32. J. Werne, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.48.1020 48, 1020 (1993).
33. J. Schmalzl, M. Breuer, and U. Hansen, Geophys. Astrophys. Fluid Dyn. GAFDD3 0309-1929 10.1080/0309192021000049929 96, 381 (2002); (Pubitemid 44273274)
34. J. Schmalzl, M. Breuer, S. Wessling, and U. Hansen, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10298-4 67, 390 (2004). (Pubitemid 39046972)
35. K. Sugiyama, E. Calzavarini, S. Grossmann, and D. Lohse, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/80/34002 80, 34002 (2007).
36. G. Ahlers, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.046302 77, 046302 (2008). (Pubitemid 351531592)
37. K. Sugiyama, E. Calzavarini, S. Grossmann, and D. Lohse, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112009008027 637, 105 (2009).
38. H. Johnston and C. R. Doering, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.064501 102, 064501 (2009).
39. K. Sugiyama, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105. 034503 105, 034503 (2010).
40. Q. Zhou, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112010003824 664, 297 (2010);
41. M. Chandra and M. K. Verma, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.067303 83, 067303 (2011).
42. R. J. A. M. Stevens, R. Verzicco, and D. Lohse, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112009992461 643, 495 (2010).
43. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevE.84.045303 for flow field movies.
44. R. Halír and J. Flusser, Proc. Sixth International Conference Computer Graphics and Visualization 1, 125 (1998).
45. S. Weiss and G. Ahlers, J. Fluid. Mech. JFLSA7 0022-1120 10.1017/S0022112010005963 676, 5 (2010).