Lower Bounds to Thermal Instability Criteria of Completely Confined Fluids Inside Cylinders of Arbitrary Cross Section

[+] Author and Article Information
D. Pnueli

Technion—Israel Institute of Technology, Haifa, Israel

J. Appl. Mech 31(3), 376-379 (Sep 01, 1964) (4 pages) doi:10.1115/1.3629650 History: Received December 31, 1962; Revised July 10, 1963; Online September 15, 2011


A method is developed to compute the lower bounds for the thermal instability criterion (the critical Rayleigh number) for fluids completely confined inside cylinders of arbitrary cross section; i.e., Rayleigh numbers below which no spontaneous flow may occur in spite of the density gradient being opposite to the body force direction.

Copyright © 1964 by ASME
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