Heat conduction in a three-dimensional body with moving boundaries

Date

1983-05

Journal Title

Journal ISSN

Volume Title

Publisher

Texas Tech University

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.

Description

Keywords

Heat -- Conduction, Difference equations -- Numerical solutions, Boundary value problems, Coordinate transformations, Two-body problem, Three-body problem

Citation