Critical Rayleigh numbers are computed for a two-layer model of fluid heated from below in two cases; namely, the upper layer possesses (a) an infinite coefficient of heat conduction, or (b) a large negative Rayleigh number. Case (b) has already been studied by Gribov & Gurevich (1957), but because of an incorrect numerical evaluation, it is reconsidered here.
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M. Stix (1970) studied this question.
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