Graphical and Numerical Methods for Heat Conduction with unsteady-state Ambient Temperature or Heat Generation

Abstract

Almost problems of heat conduction can be readily treated by graphical or numerical methods, which, therefore, are important not only in engineering practice but in the other fields. But if the ambient temperature or the heat generation varies with time, it is undesirable to treat the problem by the conventional graphical or numerical methods. In such cases, we can solve the problems more easily, as Duhamel's theorem in the theory of heat conduction, by using time-temperature relations gained in the case of steady-state ambient temperature or heat generation. This paper describes the above-mentioned methods and points out certain items to which special attention should be paid in applying them.