Wind and boundary layers in Rayleigh-Bénard convection. II. Boundary layer character and scaling

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

Volumn 77, Issue 3, 2008, Pages

  Van Reeuwijk, Maarten ^a   Jonker, Harm J J ^b   Hanjalić, Kemo ^b,c  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY LAYERS; DIRECT NUMERICAL SIMULATION; INTEGRAL EQUATIONS; PARAMETERIZATION; REYNOLDS NUMBER; ASPECT RATIO; HEAT FLUX; MATHEMATICAL MODELS; TEMPERATURE DISTRIBUTION;

CONTINUOUS SPECTRUM; FRICTION FACTOR; RAYLEIGH-BENARD CONVECTION; REYNOLDS STRESSES; PERIODIC SIDEWALLS; THERMAL BOUNDARY LAYER; VERTICAL HEAT FLUX;

HEAT CONVECTION;

EID: 41549110328     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.036312     Document Type: Article

References (25)

1. S. Grossmann and D. Lohse, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112099007545 407, 27 (2000).
2. Y. B. Xin, K. Q. Xia, and P. Tong, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1266 77, 1266 (1996).
3. Y. B. Xin and K. Q. Xia, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.3010 56, 3010 (1997).
4. R. M. Kerr, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112096001760 310, 139 (1996).
5. R. M. Kerr and J. R. Herring, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112000001464 419, 325 (2000).
6. H. Schlichting and K. Gersten, Boundary Layer Theory (McGraw-Hill, New York, 2000).
7. S. Grossmann and D. Lohse, Phys. Fluids 16, 4462 (2004). 1070-6631
8. S. Grossmann and D. Lohse, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112003004270 486, 105 (2003).
9. M. van Reeuwijk, H. J. J. Jonker, and K. Hanjalić, preceding paper, Phys. Rev. E PLEEE8 1063-651X 77, 036311 (2007).
10. X. Chavanne, F. Chilla, B. Castaing, B. Hebral, B. Chabaud, and J. Chaussy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.3648 79, 3648 (1997).
11. X. Chavanne, F. Chilla, B. Chabaud, B. Castaing, and B. Hebral, Phys. Fluids 13, 1300 (2001). 1070-6631
12. G. Amati, K. Koal, F. Massaioli, K. R. Sreenivasan, and R. Verzicco, Phys. Fluids 17, 121701 (2005). 1070-6631
13. J. Verdoold, M. van Reeuwijk, M. J. Tummers, H. J. J. Jonker, and K. Hanjalić, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.77.016303 77, 016303 (2008).
14. M. van Reeuwijk, H. J. J. Jonker, and K. Hanjalić, Phys. Fluids 17, 051704 (2005). 1070-6631
15. F. M. White, Viscous Fluid Flow (McGraw-Hill, New York, 1991).
16. 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).
17. X. L. Qiu and K. Q. Xia, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.5816 58, 5816 (1998).
18. R. B. Dean, J. Fluids Eng. JFEGA4 0098-2202 100, 215 (1978).
19. N. Rajaratnam, Turbulent Jets, Developments in Water Science No. 5 (Elsevier, Amsterdam, 1976).
20. J. J. Niemela and K. R. Sreenivasan, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112006009669 557, 411 (2006).
21. F. Heslot, B. Castaing, and A. Libchaber, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.36.5870 36, 5870 (1987).
22. R. M. Kerr, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87. 244502 87, 244502 (2001).
23. J. J. Niemela and K. R. Sreenivasan, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112003004087 481, 355 (2003).
24. S. J. Kline, W. C. Reynolds, F. A. Schraub, and P. W. Runstadler, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112067001740 30, 741 (1967).
25. The values for Cf in Table 3 are slightly smaller than those in Table 1, as the latter are deduced from the plane-averaged squared mean velocity.