Abstract
An exact solution of the problem of an unsteady combined free and forced convection flow of a viscous incompressible fluid between two horizontal parallel walls with a linear axial temperature variation has been solved. It is found that the velocity and temperature profiles are asymmetric. The skin friction at the upper wall is always negative for cooling there, so that no reversal flow takes place while heating the upper wall leads to incipient reversed flow thus increasing the tendency of instability. Also more and more cooling at the lower wall induces reversal flow there.
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A. Acrivos, A. I. Ch. E. Journal,4, No. 3, 285 1958.
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Shirkot, K.S., Singh, S. Unsteady combined free and forced convection effects on the flow in a horizontal channel. Acta Physica 45, 97–106 (1978). https://doi.org/10.1007/BF03156142
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DOI: https://doi.org/10.1007/BF03156142