Abstract
Two common classes of transient heat conduction problems are those with no heat generation and the surface or surrounding medium temperature a prescribed function of time, and those with prescribed uniform heat generation and constant surface or surrounding medium temperature. It is pointed out that the solution to any problem in one of these classes is also a solution to a problem in the other class. At any time t, the difference between the temperature at any location and the surface temperature in a body with no heat generation and surface temperature ƒ 4(t) is the same as that in the given body with constant surface temperature and volumetric heat generation Q = − C ϱ ∂ƒ 4 ∂t .
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