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

Kanefusa Gotoh; Shinichiro Yanase; Jiro Mizushima

doi:10.1143/JPSJ.43.1773

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

Kanefusa Gotoh, Shinichiro Yanase, Jiro Mizushima

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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 G_c vary slightly with the Prandtl number smaller than 10. An abrupt decrease in G_c is attributed to a change of modes of the instability.

Original language	English
Pages (from-to)	1773-1782
Number of pages	10
Journal	journal of the physical society of japan
Volume	43
Issue number	5
DOIs	https://doi.org/10.1143/JPSJ.43.1773
Publication status	Published - 1977

ASJC Scopus subject areas

Physics and Astronomy(all)

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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) 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.",

author = "Kanefusa Gotoh and Shinichiro Yanase and Jiro Mizushima",

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T1 - The Instability of natural Convection in a Vertical Fluid Layer in the Presence of an Adverse Temperature Gradient

AU - Gotoh, Kanefusa

AU - Yanase, Shinichiro

AU - Mizushima, Jiro

PY - 1977

Y1 - 1977

N2 - 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.

AB - 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.

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