Supercritical convection of water in an elongated cavity at a given vertical heat flux

Vadim A. Sharifulin^a, Tatyana P. Lyubimova<sup>b

a</sup> Perm National Research Polytechnic University, Perm, Russian Federation
^b Institute of Continuous Media Mechanics Ural Branch of RAS, Perm, Russian Federation

Abstract: The supercritical modes of water convection are investigated at room temperature in an elongated horizontal cavityes, with a width-to-height ratios of 2 : 1 and 3 : 1. The Prandtl number is assumed to be equal to seven. A constant heat flux is set at the upper free and lower solid boundaries, and the lateral solid boundaries are assumed to be thermally insulated. Calculations carried out by the finite-difference method for values of the Rayleigh number exceeding the critical one by up to thirty times have shown that in the indicated interval of Rayleigh numbers in both cavities in the supercritical region, a single-vortex steady state is realized.

Keywords: thermal convection, bifurcations, fixed heat flux.

UDC: 517.9

Received: 14.06.2020
Received in revised form: 11.10.2020
Accepted: 22.11.2020

Language: English

DOI: 10.17516/1997-1397-2021-14-2-184-192

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