The effects of cooling on thermoelastic instability are delineated for a two dimensional flat plate geometry. The analysis includes conductive heat transfer from the edge of the flat plate as well as convective heat transfer from its sides. Cooling is found to be characterized by two dimensionless parameters allowing a direct comparison between these results and previous results where cooling was ignored. An immediate assessment can be made concerning the significance of cooling, and if cooling effects need be included in the design analysis.

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