183
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

Statistics of the locally averaged thermal dissipation rate in turbulent Rayleigh–Bénard convection

, &
Article: N35 | Received 21 Dec 2009, Accepted 29 Jun 2010, Published online: 11 Aug 2010

References

  • Kolmogorov , A. N. 1941 . The local structure of turbulence in incompressible viscous fluid for very large Reynolds number . Dokl. Akad. Nauk. SSSR , 30 : 9 – 13 . Reproduced in Proc. R. Soc. Lond., Ser. A 434(1991), pp. 9–13
  • Frisch , U. 1995 . Turbulence: The Legacy of A. N. Kolmogorov , Cambridge : Cambridge University Press .
  • Sreenivasan , K. R. and Antonia , R. A. 1997 . The phenomenology of small-scale turbulence . Annu. Rev. Fluid Mech. , 29 : 435 – 472 .
  • Taylor , G. I. 1938 . The spectrum of tarbulence . Proc. R. Soc. Lond., Ser. A , 164 : 476 – 490 .
  • Kolmogorov , A. N. 1962 . A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number . J. Fluid Mech. , 13 : 82 – 85 .
  • Ching , E. S. C. 1991 . Probability for temperature differences in Rayleigh-Bénard convection . Phys. Rev. A , 44 : 3622 – 3629 .
  • Ching , E. S. C. , Leung , C. K. , Qiu , X.-L. and Tong , P. 2003 . Intermittency of velocity fluctuations in turbulent thermal convection . Phys. Rev. E , 68 : 026307 – 1–6 .
  • L'vov , V. S. 1991 . Spectra of velocity and temperature fluctuations with constant entropy flux of fully developed free-convective turbulence . Phys. Rev. Lett. , 67 : 687 – 690 .
  • Ching , E. S. C. and Chau , K. L. 2001 . Conditional statistics of temperature fluctuations in turbulent convection . Phys. Rev. E , 63 : 047303 – 1–4 .
  • Ching , E. S. C. 2007 . Scaling laws in the central region of confined turbulent thermal convection . Phys. Rev. E , 75 : 056302 – 1–6 .
  • Ching , E. S. C. and Kwok , C. Y. 2000 . Statistics of local temperature dissipation in high Rayleigh number convection . Phys. Rev. E , 62 : R7587 – 7590 .
  • Siggia , E. D. 1994 . High Rayleigh number convection . Annu. Rev. Fluid Mech. , 26 : 137 – 168 .
  • Ahlers , G. , Grossmann , S. and Lohse , D. 2009 . Heat transfer and large scale dynamics in turbulent Rayleigh-Bénard convection . Rev. Mod. Phys. , 81 : 503 – 537 .
  • Lohse , D. and Xia , K.-Q. 2010 . Small-scale properties of turbulent Rayleigh-Bénard convection . Annu. Rev. Fluid Mech. , 42 : 335 – 364 .
  • He , X.-Z. and Tong , P. 2009 . Measurements of the thermal dissipation field in turbulent Rayleigh-Bénard convection . Phys. Rev. E , 79 : 026306 – 1–4 .
  • Belmonte , A. , Tilgner , A. and Libchaber , A. 1993 . Boundary layer length scales in thermal turbulence . Phys. Rev. Lett. , 70 : 4067 – 4070 .
  • Lui , S.-L. and Xia , K.-Q. 1998 . Spatial structure of the thermal boundary layer in turbulent convection . Phys. Rev. E , 57 : 5494 – 5503 .
  • She , Z.-S. and Leveque , E. 1994 . Universal scaling laws in fully developed turbulence . Phys. Rev. Lett. , 72 : 336 – 349 .
  • Sano , M. , Wu , X.-Z. and Libchaber , A. 1989 . Turbulence in helium-gas free convection . Phys. Rev. A , 40 : 6421 – 6430 .
  • Monin , A. S. and Yaglom , A. M. 1975 . Statistical Fluid Mechanics , Cambridge, MA : MIT Press .
  • Benzi , R. , Toschi , F. and Tripiccione , R. 1998 . On the heat transfer in Rayleigh-Bénard systems . J. Stat. Phys. , 93 : 901 – 918 .
  • Calzavarini , E. , Toschi , F. and Tripiccione , R. 2002 . Evidences of Bolgiano-Obhukhov scaling in three-dimensional Rayleigh-Bénard convection . Phys. Rev. E , 66 : 016304 – 1–4 .
  • Qiu , X.-L. and Tong , P. 2001 . Onset of coherent oscillations in turbulent Rayleigh-Bénard convection . Phys. Rev. Lett. , 87 : 094501 – 1–4 .
  • Cioni , S. , Ciliberto , S. and Sommeria , J. 1995 . Temperature structure functions in turbulent convection at low Prandtl number . Europhys. Lett. , 32 : 413 – 418 .
  • Du , Y.-B. and Tong , P. 2000 . Turbulent thermal convection in a cell with ordered rough boundaries . J. Fluid Mech. , 407 : 57 – 84 .
  • Ruiz-Chavarria , G. , Baudet , C. and Ciliberto , S. 1996 . Scaling laws and dissipation scale of a passive scalar in fully developed turbulence . Physica D , 99 : 369 – 380 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.