An Approximate Solution of two-dimensional Steady State Heat Transfer Problems with Convective Heating at a Circular Boundary

Abstract

Schofield's method of added thickness for solution of steady-state two-dimensional heat transfer problems with Newton heat transfer at a plane boundary has been extended to the case where such heat transfer takes place at a circular boundary. The technique has been used to study heat transfer from a buried pipe to its surrounding, the pipe axis being parallel to the ground surface. The same problem has been solved by relaxation method and numerical results have been compared graphically.