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

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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 varies as 492-9.36 Ra when Ra4/16, Gc={ 0 when Ra =π4/16; 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
Publication statusPublished - Nov 1977
Externally publishedYes

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free convection
temperature gradients
fluids
Rayleigh number
Prandtl number
coefficients
temperature

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

The instability of natural convection in a vertical fluid layer in the presence of an adverse temperature gradient. / Gotoh, Kanefusa; Yanase, Shinichiro; Mizushima, Jiro.

In: Journal of the Physical Society of Japan, Vol. 43, No. 5, 11.1977, p. 1773-1782.

Research output: Contribution to journalArticle

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