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The stability of natural convection due to internal heat sources in a vertical fluid layer

Authors
Journal
Fluid Dynamics Research
0169-5983
Publisher
IOP Publishing
Publication Date
Volume
6
Issue
1
Identifiers
DOI: 10.1016/0169-5983(90)90035-w

Abstract

Abstract Linear stability theory is applied to the problem of stability of natural convection that occurs in a vertical fluid layer with uniformly distributed internal heat sources. It is assumed that one bounding plate is a thermally perfect insulator and the other bounding plate is maintained at constant temperature. The power series method is used to obtain the eigenvalue equation, which is then solved numerically with the aid of the Muller method. The essentially exact values of the critical Grashof number G c, the critical wavenumber ɑ c and the critical frequency ω c are obtained for a wide range of the Prandtl number P.

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