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 language | English |
|---|---|
| Pages (from-to) | 1773-1782 |
| Number of pages | 10 |
| Journal | Journal of the Physical Society of Japan |
| Volume | 43 |
| Issue number | 5 |
| Publication status | Published - Nov 1977 |
| Externally published | Yes |
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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 journal › Article
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TY - JOUR
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 - 1977/11
Y1 - 1977/11
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 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.
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 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.
UR - http://www.scopus.com/inward/record.url?scp=0017433412&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0017433412&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0017433412
VL - 43
SP - 1773
EP - 1782
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 5
ER -