Lower Bounds to the Critical Rayleigh Number in Completely Confined Regions
ResearchPosted on rand.org 1967Published in: Journal of Applied Mechanics, v. 34, no. 2, June 1967, p. 308-312
A method is presented for estimating lower bounds to the minimum Rayleigh number that will induce a state of convective motion in a quasi-incompressible (Boussinesq) fluid where the temperature gradient is in the direction of the body force. The fluid is completely confined by fixed-temperature, rigid bounding walls. For any arbitrary region, the critical Rayleigh number is greater than 1558(h/D)4 where h is the maximum dimension of the given region in the direction of the body force and D is the diameter of an equal volume sphere. In certain simple geometrical configurations, improved lower-bound estimates are calculated.
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Document Details
- Copyright: ASME
- Availability: Non-RAND
- Year: 1967
- Pages: 5
- Document Number: EP-196706-02
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