Temperature and thermoelastic stress fields in an infinite half-space due to axisymmetric surface heat transfer Part II. Solution by Laguerre polynomial approximations

Abstract

Solutions for temperature and thermoelastic stress fields are developed for axisymmetric heat transfer coefficient variation over the surface of a heat producing infinite half-space, in terms of a truncated series of weighted mutually orthogonal polynomials. The method is applied to a number of heat transfer distributions, the results are compared with known solutions and conclusions are drawn as to the accuracy and applicability of the method.