Abstract
The conditions for the propagation of one-dimensional thermoconvective waves are shown to contradict the stability criterion for a vertically unbounded fluid. This leads to the problem of two-dimensional wave propagation in a stratified fluid layer confined between horizontal walls. The eigenvalue-problem is solved by a two-parameter expansion that is singular with respect to one of the parameters. The results show that the horizontal walls do not prevent the existence of weakly damped thermoconvective waves provided that the Rayleigh-number is large. Finally the interaction of thermoconvective waves and sound waves is investigated, and the amplitudes of the various wave modes are determined.
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