Mechanics

On the ultimate regime of Rayleigh–Bernard convection

I. B. Palymskiy

Siberian State University of Telecommunications and Information Sciences, Novosibirsk, Russia

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.

Keywords: convection; asymptotic regime; Rayleigh number; Prandtl number; spectrum; linear instability.

UDC: 532.517.4:536.25

Received: 25.03.2015

DOI: 10.14529/mmph150408

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