Transitions in heat transport by turbulent convection at Rayleigh numbers up to 1015

New Journal of Physics

Volumn 11, Issue , 2009, Pages

  Ahlers, Guenter ^a   Funfschilling, Denis ^b   Bodenschatz, Eberhard ^c,d,e  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITÉ DE LORRAINE   (France)

^c MAX PLANCK INSTITUTE FOR DYNAMICS AND SELF ORGANIZATION   (Germany)

^d UNIVERSITY OF GÖTTINGEN   (Germany)

^e Laboratory of Atomic and Solid State Physics and Sibley School of Mechanical and Aerospace Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BI-STABILITY; CONVECTION CELL; HEAT TRANSPORT; HIGH PRESSURE; RAYLEIGH; RAYLEIGH NUMBER; SHARP TRANSITION; TURBULENT CONVECTION;

BOILERS; CAISSONS; HELIUM; NUSSELT NUMBER; PRESSURE VESSELS; SULFUR;

SULFUR HEXAFLUORIDE;

EID: 72049083731     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/11/12/123001     Document Type: Article

References (46)

1. Ahlers G, Grossmann S and Lohse D 2009 Heat transfer and large scale dynamics in turbulent Rayleigh-Bénard convection Rev. Mod. Phys. 81 503
2. Ahlers G 2009 Turbulent convection Physics 2 74
3. Lohse D and Xia K-Q 2010 Small-scale properties of turbulent Rayleigh-Bénard convection Annu. Rev. Fluid Mech. 42 335
4. [4] Cardin P and 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 (Pubitemid 24426043)
5. [5] Glatzmaier G, Coe R, Hongre L and Roberts P 1999 The role of the Earth's mantle in controlling the frequency of geomagnetic reversals Nature 401 885 (Pubitemid 129516780)
6. van Doom E, Dhruva B, Sreenivasan K R and Cassella V 2000 Statistics of wind direction and its increments Phys. Fluids 12 1529
7. [7] Hartmann D L, Moy L A and Fu Q 2001 Tropical convection and the energy balance at the top of the atmosphere J. Climate 14 4495 (Pubitemid 34143802)
8. [8] Marshall J and Schott F 1999 Open-ocean convection: observations, theory and models Rev. Geophys. 37 1 (Pubitemid 29280563)
9. [9] Rahmstorf S 2000 The thermohaline ocean circulation: a system with dangerous thresholds? Climate Change 46 247 (Pubitemid 30681715)
10. [10] Cattaneo F, Emonet T and Weiss N 2003 On the interaction between convection and magnetic fields Astrophys. J. 588 1183 (Pubitemid 37104183)
11. Busse F H 1994 Chaos 4 123
12. [12] Grossmann S and Lohse D 2001 Thermal convection for large Prandtl number Phys. Rev. Lett. 86 3316 (Pubitemid 32380624)
13. Kraichnan R H 1962 Turbulent thermal convection at arbritrary Prandtl number Phys. Fluids 5 1374
14. Funfschilling D, Bodenschatz E and Ahlers G 2009 Search for the 'ultimate state' in turbulent RayleighBénard convection Phys. Rev. Lett. 103 024503
15. [15] Brown E and Ahlers G 2006 Effect of the Earth's Coriolis force on turbulent Rayleigh-Bénard convection in the laboratory Phys. Fluids 18 125108 (Pubitemid 46055933)
16. [16] Brown E and Ahlers G 2007 Large-scale circulation model of turbulent Rayleigh-Bénard convection Phys. Rev. Lett. 98 134501 (Pubitemid 46496424)
17. Brown E and Ahlers G 2008 A model of diffusion in a potential well for the dynamics of the large-scale circulation in turbulent Rayleigh-Bénard convection Phys. Fluids 20 075101
18. Brown E and Ahlers G 2008 Azimuthal asymmetries of the large-scale circulation in turbulent RayleighBénard convection Phys. Fluids 20 105105
19. Landau L D and Lifshitz E M 1987 Fluid Mechanics (Oxford: Pergamon)
20. Grossmann S and Lohse D 2002 Prandtl and Rayleigh number dependence of the Reynolds number in turbulent thermal convection Phys. Rev. E 66 016305
21. Sreenivasan K R and Donnelly R J 2001 Role of cryogenic helium in classical fluid dynamics: basic research and model testing Adv. Appl. Mech. 37 239
22. Ahlers G 1974 Low-temperature studies of the Rayleigh-Bénard instability and turbulence Phys. Rev. Lett. 33 1185
23. Threlfall D C 1975 Free convection in low temperature gaseous helium J. Fluid Mech. 67 17
24. Ahlers G 1975 Fluctuations, Instabilities and Phase Transitions ed T Riste (New York: Plenum) pp 181-193
25. Castaing B, Gunaratne G, Heslot F, Kadanoff L, Libchaber A, Thomae S, Wu X Z, Zaleski S and Zanetti G 1989 Scaling of hard thermal turbulence in Rayleigh-Bénard convection J. Fluid Mech. 204 1
26. [26] Chavanne X, Chilla F, Chabaud B, Castaing B, Chaussy J and Hébral B 1996 High Rayleigh number convection with gaseous helium at low temperature J. Low Temp. Phys. 104 109 (Pubitemid 126711881)
27. [27] Chavanne X, Chilla F, Castaing B, Hebral B, Chabaud B and Chaussy J 1997 Observation of the ultimate regime in Rayleigh-Bénard convection Phys. Rev. Lett. 79 3648 (Pubitemid 127654497)
28. [28] Chavanne X, Chilla F, Chabaud B, Castaing B and Hebral B 2001 Turbulent Rayleigh-Bénard convection in gaseous and liquid He Phys. Fluids 13 1300 (Pubitemid 32454026)
29. Donnelly R J 1984 Flow at ultra-high Reynolds and Rayleigh numbers, a status report, ed R J Donnelly and K R Sreenivasan (New York: Springer) pp 1-28
30. [30] Niemela J J, Skrbek L, Sreenivasan K R and Donnelly R 2000 Turbulent convection at very high Rayleigh numbers Nature 404 837 (Pubitemid 30230328)
31. Niemela J J and Sreenivasan K R 2006 The use of cryogenic helium for classical turbulence: promises and hurdles J. Low Temp. Phys. 143 163
32. Ahlers G, Bodenschatz E, Funfschilling D and Hogg J 2009 Turbulent Rayleigh-Bénard convection for a Prandtl number of 0.67 J. Fluid Mech. at press
33. Stevens R, Zhong J-Q, Clercx H, Ahlers G and Lohse D 2009 Transitions between turbulent states in rotating Rayleigh-Bénard convection Phys. Rev. Lett. 103 024503
34. [34] Belmonte A, Tilgner A and Libchaber A 1993 Boundary layer length scales in thermal turbulence Phys. Rev. Lett. 70 4067 (Pubitemid 23963346)
35. Belmonte A, Tilgner A and Libchaber A 1994 Temperature and velocity boundary layers in turbulent convection Phys. Rev. E 50 269
36. [36] Ashkenazi S and Steinberg V 1999 High Rayleigh number turbulent convection in a gas near the gas-liquid critical point Phys. Rev. Lett. 83 3641 (Pubitemid 129582967)
37. [37] Assenheimer M and Steinberg V 1993 Rayleigh-Bénard convection near the gas-liquid critical point Phys. Rev. Lett. 70 3888. (Pubitemid 23963302)
38. [38] Assenheimer M and Steinberg V 1994 Transition between spirals and target states in Rayleigh-Bénard convection Nature 367 345 (Pubitemid 24979183)
39. [39] Bajaj KMS, Mukolobwiez N, Currier N and Ahlers G 1999 Wavenumber selection and large-scale-flow effects due to a radial ramp of the spacing in Rayleigh-Bénard convection Phys. Rev. Lett. 83 5282 (Pubitemid 129585409)
40. Bajaj KMS, Mukolobwiez N, Oh J and Ahlers G 2006 Rayleigh-Bénard convection in the presence of a radial ramp of the Rayleigh number J. Stat. Mech. P02001
41. Roy A and Steinberg V 2002 Reentrant hexagons in non-Boussinesq Rayleigh-Bénard convection: effect of compressibility Phys. Rev. Lett. 88 244503
42. Oh J and Ahlers G 2003 Thermal-Noise effect on the transition to Rayleigh-Bénard convection Phys. Rev. Lett. 91 094501
43. Oh J, Ortiz de Zarate J M, Sengers J V and Ahlers G 2004 Dynamics of fluctuations in a fluid below the onset of Rayleigh-Bénard convection Phys. Rev. E 69 021106
44. Hirschfelder J O, Curtiss C F and Bird R B 1964 Molecular Theory of Gases and Liquids (New York: Wiley)
45. [45] Verzicco R 2004 Effect of non-perfect thermal sources in turbulent thermal convection Phys. Fluids 16 1965 (Pubitemid 38768012)
46. Brown E, Nikolaenko A, Funfschilling D and Ahlers G 2005 Heat transport by turbulent Rayleigh-Bénard convection: effect of finite top- and bottom-plate conductivity Phys. Fluids 17 075108