Heat conduction in a three-dimensional body with moving boundaries

Abstract

In this study, three-dimensional heat conduction problems with moving and nonmoving grid and the problems of a body undergoing phase change are solved. Unsteady heat conduction problems are solved using the body-fitted coordinate technique in two and three dimensions. A method of generating a moving grid structure in time asymptotic problems is applied here. Results presented show significant error reduction for the two- and three - dimensional heat conduction equations when compared with the nonmoving grid solution. Phase - change problems are solved for the case or sublimation, but the technique can be extended to other phase-change problems. Techniques presented for the two dimensional cases are shown to extend directly to the three-dimensional cases without major difficulties. The biggest difference between the two- and three – dimensional work is the large increase in computational time necessary for the three-dimensional problems.