On the Numerical Analysis of Periodic Heat Flow

Abstract

In the periodic heat flow in solid, the initial temperature distribution is not given, and hence the ordinary methods of numerical analysis used in the steady or unsteady heat conduction cannot be applied to the periodic one. The only existing condition is the cyclic variation of temperature within the solid. By taking this periodic condition into consideration, the writers proposed two methods of numerical analysis of periodic heat conduction, the matrix and successive approximation. methods. In this paper the several examples of this method in one-dimensional heat flow were stated and the relative merit between the two methods was also discussed.