High Rayleigh Number Turbulent Convection in a Gas near the Gas-Liquid Critical Point

Abstract

${\mathrm{SF}}_6$ in the vicinity of its critical point was used to study turbulent convection up to exceptionally high Rayleigh numbers, Ra (up to $5\times {10}^{14}$) and to verify for the first time the generalized scaling laws for the heat transport and the large scale circulation velocity as a function of Ra and the Prandtl number, Pr, in a very wide range of these parameters. Both scaling laws obtained are consistent with theoretical predictions by Shraiman and Siggia [Phys. Rev. A 42, 3650 (1990)].