The Instability of natural Convection in a Vertical Fluid Layer in the Presence of an Adverse Temperature Gradient

Kanefusa Gotoh, Shinichiro Yanase, Jiro Mizushima

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The stability of natural convection in a fluid between two parallel vertical plates is investigated theoretically. Temperatures of the two plates are different by 2T0 and a uniform temperature gradient β (<0) is present in the vertical direction. It is found that the critical value of the Grashof number G based on T0 varies as (Formula Omitted) and an absolute instability when Ra>π4/16, where Ra is the Rayleigh number based on -β. Two numerical coefficients in the expression of Gc vary slightly with the Prandtl number smaller than 10. An abrupt decrease in Gc is attributed to a change of modes of the instability.

Original languageEnglish
Pages (from-to)1773-1782
Number of pages10
Journaljournal of the physical society of japan
Volume43
Issue number5
DOIs
Publication statusPublished - 1977

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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