Journal of Fluid Mechanics

The instability of a fluid layer with time-dependent heating

Wilbert  Lick a1
a1 Harvard University

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The problem of the stability and growth of disturbances in a fluid with time-dependent heating is investigated. The analysis is restricted to the case when the temperature gradient is large in a layer which is narrow by comparison with the overall depth of the fluid. An approximate method of solution is presented. Results of computations are also presented which illustrate the method of solution and the essential features of the problem.

(Published Online March 28 2006)
(Received July 2 1964)