On the Ultimate Regime of Rayleigh–Bernard Convection

Abstract

A two-dimensional and non-stationary convection of a viscous incompressible liquid in a vertical narrow channel during down heating is discussed.

A new asymptotic regime of convection with a linear  dependence of Nusselt and Reynolds numbers on the Rayleigh number was derived. The asymptotic law derived can be considered as an addition to the fundamental root law