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 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 | |
| Publication status | Published - 1977 |
ASJC Scopus subject areas
- Physics and Astronomy(all)
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Gotoh, K., Yanase, S., & Mizushima, J. (1977). The Instability of natural Convection in a Vertical Fluid Layer in the Presence of an Adverse Temperature Gradient. journal of the physical society of japan, 43(5), 1773-1782. https://doi.org/10.1143/JPSJ.43.1773