KONVEKTSIYA VBLIZI KRITICHESKIKH CHISEL RELEYA PRI POCHTI VERTIKAL'NOM GRADIENTE TEMPERATURY.

Translated title of the contribution: Convection Near Critical Rayleigh Numbers Under Conditions of Nearly Vertical Temperature Gradient.

V. I. Chernatynskii, M. I. Shliomis

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Basic results of convection theory are presented for the case where the liquid in a gravity field is heated strictly from below. These results are then used for investigating the steady convection in the case of a nearly vertical temperature gradient, and the stability of solutions obtained is investigated. It is shown that near a certain critical Rayleigh number R//0 the liquid's motion is stable, although an abnormal behavior occurs near R//0. Besides this basic solution branch, two other branches (bifurcation) appear to the right of R//0, one of which is unstable and the other is metastable. Results obtained for an arbitrary closed cavity are illustrated by the results of a numerical experiment carried out in a horizontal circular cylinder (plane problem).

Translated title of the contributionConvection Near Critical Rayleigh Numbers Under Conditions of Nearly Vertical Temperature Gradient.
Original languageRussian
Pages (from-to)64-70
Number of pages7
JournalIzvestiya Akademii Nauk. Mekhanika Zhidkosti I Gaza
Issue number1
StatePublished - 1 Jan 1973

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