Abstract

Analytical solutions are obtained of transient heat transfer for unsteady incompressible laminar flow between parallel plates. The transient is caused by simultaneously changing with time the driving pressure of the fluid and the wall temperature. The solution is first obtained for the case where the inside surfaces of the channel walls undergo a specified step in temperature, that is, the heattransfer resistance of the wall is neglected. Then some results are given where the temperature is specified at the outside surfaces of the walls and the transient heat conduction through the walls is taken into account. A few numerical examples are carried out to illustrate the method.

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