Numerical Methods for Transient Heat Flow

This paper deals with the application of numerical methods for the solution of heat-conduction problems, their generality being extended in the following ways: (a) A modulus is developed by choice of which the worker may proceed most rapidly to a solution, or may proceed more slowly and with greater precision; (b) criteria are developed for the choice of modulus to insure convergence. This is most important at a convective surface; (c) a method is developed for handling k and c when these properties vary independently with temperature. A comprehensive Appendix gives the derivations, and the use of equations and charts is demonstrated by typical examples.