Heat Conduction within Elliptic Enclosure with Internal Heat Generation

Abstract

Exact and numerical solutions for steady heat conduction in the enclosure between two long isothermal elliptic tubes with uniform internal heat generation are obtained. The heat conduction process within the enclosure is mainly influenced by internal heat generation, axis ratio of inner tube and major axes ratio of the two tubes. The solutions are obtained in terms of the temperature and local heat flux distributions. The study has shown that the numerical results are in excellent agreement with the analytical results.