Turbulent Rayleigh-Bénard convection in a cylindrical container with aspect ratio γ = 0.50 and Prandtl number Pr = 4.38

Journal of Fluid Mechanics

Volumn 676, Issue , 2011, Pages 5-40

  Weiss, Stephan ^a   Ahlers, Guenter ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

B nard convection; turbulent convection

Indexed keywords

CONTAINERS; NATURAL CONVECTION; NUSSELT NUMBER; PRANDTL NUMBER; PRASEODYMIUM; STOCHASTIC SYSTEMS;

CYLINDRICAL CONTAINERS; CYLINDRICAL SAMPLES; GAUSSIAN DISTRIBUTED; LARGE-SCALE CIRCULATION; STATISTICAL PROPERTIES; STOCHASTIC VARIABLE; TORSIONAL OSCILLATION; TURBULENT CONVECTION;

ASPECT RATIO;

CIRCULATION; COMPUTATIONAL FLUID DYNAMICS; CONVECTION; FLOW MEASUREMENT; GAUSSIAN METHOD; RAYLEIGH NUMBER; STOCHASTICITY; TURBULENT FLOW;

EID: 79959269324     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010005963     Document Type: Article

References (49)

1. Ahlers, G. 2009 Turbulent convection. Physics 2, 74.
2. Ahlers, G., Bodenschatz, E., Funfschilling, D. & Hogg, J. 2009a Turbulent Rayleigh-Benard convection for a Prandtl number of 0.67. J. Fluid Mech. 641, 157-167.
3. Ahlers, G., Brown, E., Fontenele Araujo, F., Funfschilling, D., Grossmann, S. & Lohse, D. 2006a Non-Oberbeck-Boussinesq effects in strongly turbulent Rayleigh-Benard convection. J. Fluid Mech. 569, 409-445. (Pubitemid 44756434)
4. Ahlers, G., Brown, E. & Nikolaenko, A. 2006b The search for slow transients, and the effect of imperfect vertical alignment, in turbulent Rayleigh-Benard convection. J. Fluid Mech. 557, 347-367. (Pubitemid 44069752)
5. Ahlers, G., Calzavarini, E., Fontenele Araujo, F., Funfschilling, D., Grossmann, S., Lohse, D. & Sugiyama, K. 2008 Non-Oberbeck-Boussinesq effects in turbulent thermal convection in ethane close to the critical point. Phys. Rev. E 77, 046302 (1-16).
6. Ahlers, G., Cannell, D. S., Berge, L. I. & Sakurai, S. 1994 Thermal conductivity of the nematic liquid crystal 4-n-pentyl-4'-cyanobiphenyl. Phys. Rev. E 49, 545-553.
7. Ahlers, G., Grossmann, S. & Lohse, D. 2002 Hochprazision im Kochtopf: Neues zur turbulenten Konvektion. Phys. J. 1 (2), 31-37.
8. Ahlers, G., Grossmann, S. & Lohse, D. 2009b Heat transfer and large scale dynamics in turbulent Rayleigh-Benard convection. Rev. Mod. Phys. 81, 503-538.
9. Boussinesq, J. 1903 Theorie Analytique de la Chaleur, vol. 2. Gauthier-Villars.
10. Brown, E. & Ahlers, G. 2006a Effect of the Earth's Coriolis force on turbulent Rayleigh-Benard convection in the laboratory. Phys. Fluids 18, 125108 (1-15).
11. Brown, E. & Ahlers, G. 2006b Rotations and cessations of the large-scale circulation in turbulent Rayleigh-Benard convection. J. Fluid Mech. 568, 351-386. (Pubitemid 44741358)
12. Brown, E. & Ahlers, G. 2007a Large-scale circulation model of turbulent Rayleigh-Benard convection. Phys. Rev. Lett. 98, 134501 (1-4).
13. Brown, E. & Ahlers, G. 2007b Temperature gradients, and search for non-Boussinesq effects, in the interior of turbulent Rayleigh-Benard convection. Europhys. Lett. 80, 14001 (1-6).
14. Brown, E. & Ahlers, G. 2008a Azimuthal asymmetries of the large-scale circulation in turbulent Rayleigh-Benard convection. Phys. Fluids 20, 105105 (1-15).
15. Brown, E. & Ahlers, G. 2008b A model of diffusion in a potential well for the dynamics of the large-scale circulation in turbulent Rayleigh-Benard convection. Phys. Fluids 20, 075101 (1-16).
16. Brown, E. & Ahlers, G. 2009 The origin of oscillations of the large-scale circulation of turbulent Rayleigh-Benard convection. J. Fluid Mech. 638, 383-400.
17. Brown, E., Nikolaenko, A. & Ahlers, G. 2005a Reorientation of the large-scale circulation in turbulent Rayleigh-Benard convection. Phys. Rev. Lett. 95, 084503 (1-4).
18. Brown, E., Nikolaenko, A., Funfschilling, D. & Ahlers, G. 2005b Heat transport by turbulent Rayleigh-Benard convection: effect of finite top- and bottom-plate conductivity. Phys. Fluids 17, 075108 (1-10).
19. Busse, F H. 1994 Convection-driven zonal flows and vortices in the major planets. Chaos 4, 123-134.
20. Cardin, P. & Olson, P. 1994 Chaotic thermal convection in a rapidly rotating spherical shell: consequences for flow in the outer core. Phys. Earth Planet. Inter. 82, 235-259. (Pubitemid 24426043)
21. Cattaneo, F., Emonet, T. & Weiss, N. 2003 On the interaction between convection and magnetic fields. Astrophys. J. 588, 1183-1198. (Pubitemid 37104183)
22. Chillà, F., Rastello, M., Chaumat, S. & Castaing, B. 2004 Long relaxation times and tilt sensitivity in Rayleigh-Bénard turbulence. Eur. Phys. J. B 40, 223-227.
23. Cioni, S., Ciliberto, S. & Sommeria, J. 1997 Strongly turbulent Rayleigh-Bénard convection in mercury: comparison with results at moderate Prandtl number. J. Fluid Mech. 335, 111-140.
24. van Doorn, E., Dhruva, B., Sreenivasan, K. R. & Cassella, V. 2000 Statistics of wind direction and its increments. Phys. Fluids 12, 1529-1534.
25. Funfschiling, D., Brown, E., Nikolaenko, A. & Ahlers, G. 2005 Heat transport by turbulent Rayleigh-Bénard convection in cylindrical cells with aspect ratio one and larger. J. Fluid Mech. 536, 145-154. (Pubitemid 41174787)
26. Funfschilling, D. & Ahlers, G. 2004 Plume motion and large-scale circulation in a cylindrical Rayleigh-Bénard cell. Phys. Rev. Lett. 92, 194502 (1-4).
27. Funfschilling, D., Brown, E. & Ahlers, G. 2008 Torsional oscillations of the large-scale circulation in turbulent Rayleigh-Bénard convection. J. Fluid Mech. 607, 119-139. (Pubitemid 351965827)
28. Glatzmaier, G., Coe, R., Hongre, L. & Roberts, P. 1999 The role of the Earth's mantle in controlling the frequency of geomagnetic reversals. Nature (London) 401, 885-890.
29. Grossmann, S. & Lohse, D. 2000 Scaling in thermal convection: a unifying view. J. Fluid. Mech. 407, 27-56.
30. Grossmann, S. & Lohse, D. 2001 Thermal convection for large Prandtl number. Phys. Rev. Lett. 86, 3316-3319. (Pubitemid 32380624)
31. Hartmann, D. L., Moy, L. A. & Fu, Q. 2001 Tropical convection and the energy balance at the top of the atmosphere. J. Climate 14, 4495-4511. (Pubitemid 34143802)
32. Kadanoff, L. P. 2001 Turbulent heat flow: structures and scaling. Phys. Today 54 (8), 34-39.
33. Lohse, D. & Xia, K.-Q. 2010 Small-scale properties of turbulent Rayleigh-Bénard convection. Annu. Rev. Fluid Mech. 42, 335-364.
34. Marshall, J. & Schott, F. 1999 Open-ocean convection: observations, theory, and models. Rev. Geophys. 37, 1-64. (Pubitemid 29280563)
35. Nikolaenko, A., Brown, E., Funfschilling, D. & Ahlers, G. 2005 Heat transport by turbulent Rayleigh-Bénard convection in cylindrical cells with aspect ratio one and less. J. Fluid Mech. 523, 251-260. (Pubitemid 40252440)
36. Oberbeck, A. 1879 über die Ẅarmeleitung der Flüssigkeiten bei Berücksichtigung der Strömungen infolge von Temperaturdifferenzen. Ann. Phys. Chem. 7, 271-292.
37. Rahmstorf, S. 2000 The thermohaline ocean circulation: a system with dangerous thresholds? Clim. Change 46, 247-256.
38. Roche, P. E., Castaing, B., Chabaud, B. & Hebral, B. 2004 Heat transfer in turbulent Rayleigh-Bénard convection below the ultimate regime. J. Low. Temp. Phys. 134, 1011-1042. (Pubitemid 38473668)
39. Sugiyama, K., Calzavarini, E., Grossmann, S. & Lohse, D. 2009 Flow organization in two-dimensional non-Oberbeck-Boussinesq Rayleigh-Bénard convection in water. J. Fluid Mech. 637, 105-135.
40. Sugiyama, K., Rui, N., Stevens, R., Chan, T., Zhou, S.-Q., Xi, H.-D., Sun, C., Grossmann, S., Xia, K.-Q. & Lohse, D. 2010 Flow reversals in thermally driven turbulence. Phys. Rev. Lett. 105, 034503 (1-4).
41. Sun, C., Ren, L.-Y., Song, H. & Xia, K.-Q. 2005a Heat transport by turbulent Rayleigh-Bénard convection in cylindrical cells of widely varying aspect ratios. J. Fluid Mech. 542, 165-174. (Pubitemid 41655592)
42. Sun, C., Xi, H. D. & Xia, K. Q. 2005b Azimuthal symmetry, flow dynamics, and heat transport in turbulent thermal convection in a cylinder with an aspect ratio of 0.5. Phys. Rev. Lett. 95, 074502 (1-4).
43. Xi, H.-D. & Xia, K.-Q. 2007 Cessations and reversals of the large-scale circulation in turbulent thermal convection. Phys. Rev. E 75, 066307 (1-5).
44. Xi, H.-D. & Xia, K.-Q. 2008a Azimuthal motion, reorientation, cessation, and reversals of the large-scale circulation in turbulent thermal convection: a comparative study in aspect ratio one and one-half geometries. Phys. Rev. E 78, 036326 (1-11).
45. Xi, H.-D. & Xia, K.-Q. 2008b Flow mode transition in turbulent thermal convection. Phys. Fluids 20, 055104 (1-15).
46. Xi, H. D., Zhou, Q. & Xia, K. Q. 2006 Azimuthal motion of the mean wind in turbulent thermal convection. Phys. Rev. E 73, 056312 (1-13).
47. Xi, H.-D., Zhou, S.-Q., Zhou, Q., Chan, T.-S. & Xia, K.-Q. 2009 Origin of the temperature oscillation in turbulent thermal convection. Phys. Rev. Lett. 102, 044503 (1-4).
48. Zhong, J.-Q. & Ahlers, G. 2010 Heat transport and the large-scale circulation in rotating turbulent Rayleigh-Bénard convection. J. Fluid Mech. 665, 300-333.
49. Zhou, Q., Xi, H.-D., Zhou, S.-Q., Sun, C. & Xia, K.-Q. 2009 Oscillations of the large-scale circulation in turbulent Rayleigh-Bénard convection: the sloshing mode and its relationship with the torsional mode. J. Fluid Mech. 630, 367-390.