Turbulent thermal convection at high Rayleigh numbers for a Boussinesq fluid of constant Prandtl number

Physics of Fluids

Volumn 17, Issue 12, 2005, Pages 1-4

  Amati, G ^a   Koal, K ^a   Massaioli, F ^a   Sreenivasan, K R ^b   Verzicco, R ^c  

^a CASPUR   (Italy)

^b ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^c POLITECNICO DI BARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; NAVIER STOKES EQUATIONS; NUSSELT NUMBER; PRANDTL NUMBER; TURBULENT FLOW;

BOUSSINESQ FLUID; CONSTANT PRANDTL NUMBER; RAYLEIGH NUMBERS;

HEAT CONVECTION;

COMPUTER SIMULATION; HEAT CONVECTION; NAVIER STOKES EQUATIONS; NUSSELT NUMBER; PRANDTL NUMBER; TURBULENT FLOW;

EID: 31144435555     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2140023     Document Type: Article

References (25)

1. D. Threlfall, "Free convection in low-temperature gaseous helium," J. Fluid Mech. JFLSA70022-1120 67, 17 (1975).
2. R. J. Goldstein and S. Tokuda, "Heat transfer by thermal convection at high Rayleigh numbers," Int. J. Heat Mass Transfer IJHMAK0017-931010.1016/0017-9310(80)90022-8 23, 738 (1979).
3. X.-Z. Wu and A. Libchaber, "Scaling relations in thermal turbulence: The aspect-ratio dependence," Phys. Rev. A PLRAAN1050-294710.1103/PhysRevA.45.842 45, 842 (1992).
4. B. Castaing, G. Gunaratne, F. Heslot, L. Kadanoff, A. Libchaber, S. Thomae, X.-Z. Wu, S. Zaleski, and G. Zanetti, "Scaling of hard thermal turbulence in Rayleigh-Bénard convection," J. Fluid Mech. JFLSA70022-1120 204, 1 (1989).
5. J. J. Niemela, L. Skrbek, K. R. Sreenivasan, and R. J. Donnely, "Turbulent convection at very high Rayleigh numbers," Nature (London) NATUAS0028-083610.1038/35009036 404, 837 (2000).
6. X. Chavanne, F. Chillà, B. Chabaud, B. Castaing, and B. Hebral, "Turbulent Rayleigh-Bénard convection in gaseous and liquid He," Phys. Fluids PHFLE61070-663110.1063/1.1355683 13, 1300 (2001).
7. P. E. Roche, B. Castaing, B. Chabaud, and B. Hebral, "Prandtl and Rayleigh numbers dependences in Rayleigh-Bènard convection," Europhys. Lett. EULEEJ0295-507510.1209/epl/i2002-00405-1 58, 693 (2002).
8. K. R. Sreenivasan and R. J. Donnelly, "Role of cryogenic helium in classical fluid dynamics: Basic research and model testing," Adv. Appl. Mech. AAMCAY0065-2156 37, 239 (2000).
9. P. E. Roche, "Convection thermique turbulente en cellule de Rayleigh-Bènard cryogénique," Ph.D. thesis, Centre de Recherche sur les Trés Basses Températures Laboratoire CNRS associé á l'Université Joseph Fourier, 2000.
10. G. Ahlers, "Effect of sidewall conductance on heat-transport measurements for turbulent Rayleigh-Benard convection," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.63.015303 63, 015303 (2001).
11. R. Verzicco, "Side wall finite conductivity effects in confined turbulent thermal convection," J. Fluid Mech. JFLSA70022-112010.1017/S0022112002002501 473, 201 (2002).
12. J. J. Niemela and K. R. Sreenivasan, "Confined turbulent convection," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112003004087 481, 355 (2003).
13. R. Verzicco, "Effect of non-perfect thermal sources in turbulent thermal convection," Phys. Fluids PHFLE61070-663110.1063/1.1723463 16, 1965 (2004).
14. E. Brown, A. Nikolaenko, D. Funfschilling, and G. Ahlers, "Heat transport in turbulent Rayleigh-Benard convection: Effect of finite top- and bottom-plate conductivity," Phys. Fluids PHFLE61070-663110.1063/ 1.1964987 17, 075108 (2005).
15. S. Sun, K.-Q. Xia, and P. Tong, "Three-dimensional flow structures and dynamics of turbulent thermal convection in a cylindrical cell," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.72.026302 72, 026302 (2005).
16. S. Grossmann and D. Lohse, "Scaling in thermal convection: A unifying theory," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112099007545 407, 27 (2000);
17. S. Grossmann and D. Lohse "Thermal convection for large Prandtl number," Phys. Rev. Lett. PRLTAO0031-9007 66, 016305 (2002).
18. R. Verzicco and R. Camussi, "Numerical experiments on strongly turbulent thermal convection in a slender cylindrical cell," J. Fluid Mech. JFLSA70022-112010.1017/S0022112002003063 477, 19 (2003).
19. G. Grötzbach, "Spatial resolution requirements for direct numerical simulation of the Rayleigh-Bénard convection," J. Comput. Phys. JCTPAH0021-999110.1016/0021-9991(83)90125-0 49, 241 (1983).
20. M. V. R. Malkus, "Heat transport and spectrum of thermal turbulence," Proc. R. Soc. London, Ser. A PRLAAZ0962-8444 225, 196 (1954);
21. C. H. B. Priestley, Turbulent Transfer in the Lower Atmosphere (University of Chicago Press, Chicago, 1959).
22. A. Nikolaenko, E. Brown, D. Funfschilling, and G. Ahlers, "Heat transport by turbulent Rayleigh-Benard convection in cylindrical cells with aspect ratio one and less," J. Fluid Mech. JFLSA70022-112010.1017/S0022112004002289 523, 251 (2005).
23. G. Stringano and R. Verzicco, "Mean flow structure in thermal convection in a cylindrical cell of aspect-ratio one half," J. Fluid Mech. JFLSA70022-1120 (to be published).
24. B. I. Shraiman and E. D. Siggia, "Heat transport in high Rayleigh number convection," Phys. Rev. A PLRAAN1050-294710.1103/ PhysRevA.42.3650 42, 3650 (1990).
25. H. Schlichting, Boundary Layer Theory (McGraw-Hill, New York, 2000).