ON THE THERMAL CONVECTION OF AN EQUILIBRIUM STATE FOR LARGE WATER DEPTH AND LARGE RAYLEIGH NUMBER

Large eddy simulations of turbulent thermal convection at high Rayleigh number

Magnetic-field effect on thermal convection of a nematic liquid crystal at large Rayleigh numbers

We report on near-turbulent thermal convection of a nematic liquid crystal heated from below in a cylindrical cell with an aspect ratio (diameter/height) equal to 0.50 for Rayleigh numbers 2 × 107 . Ra . 3 × 108 and a Prandtl number of about 355. The Nusselt number Nu as a function of Ra did not differ significantly from that of an isotropic fluid. In a vertical magnetic field H , we found Nu(H...

Thermal convection for large Prandtl numbers.

The Rayleigh-Bénard theory by Grossmann and Lohse [J. Fluid Mech. 407, 27 (2000)] is extended towards very large Prandtl numbers Pr. The Nusselt number Nu is found here to be independent of Pr. However, for fixed Rayleigh numbers Ra a maximum in the Nu(Pr) dependence is predicted. We moreover offer the full functional dependences of Nu(Ra,Pr) and Re(Ra,Pr) within this extended theory, rather th...

Thermal convection with shear at high Rayleigh number

Andrew P. Ingersoll Journal of Fluid Mechanics / Volume 25 / Issue 02 / June 1966, pp 209 ­ 228 DOI: 10.1017/S0022112066001617, Published online: 28 March 2006 Link to this article: http://journals.cambridge.org/abstract_S0022112066001617 How to cite this article: Andrew P. Ingersoll (1966). Thermal convection with shear at high Rayleigh number. Journal of Fluid Mechanics, 25, pp 209­228 doi:10...

Prandtl and Rayleigh number dependence of the Reynolds number in turbulent thermal convection.

The Prandtl and Rayleigh number dependences of the Reynolds number in turbulent thermal convection following from the unifying theory by Grossmann and Lohse [J. Fluid Mech. 407, 27 (2000); Phys. Rev. Lett. 86, 3316 (2001)] are presented and compared with various recent experimental findings. This dependence Re(Ra,Pr) is more complicated than a simple global power law. For Pr=5.5 and 10(8)<Ra<10...