An application of finite elements to a radiation problem
Abstract
The formulation of radiation heat transfer problems often leads to a system of integral equations. Except in certain very limited situations, a closed form, analytical solution of the integral equations cannot be obtained. A finite element method is presented for solving a system of integral equations, namely, the Fredholm equation of the second kind. The solution is then applied to a radiation problem consisting of two grey, parallel plates with different temperature and emissivities in a nonparticipating medium. Comparisons are made with other approximate solutions.
 Publication:

8th Southeastern Conference on Theoretical and Applied Mechanics
 Pub Date:
 1976
 Bibcode:
 1976tam..proc..297W
 Keywords:

 Finite Element Method;
 Fredholm Equations;
 Parallel Plates;
 Radiative Heat Transfer;
 Thermodynamics;
 Temperature Distribution;
 Thermal Radiation;
 Fluid Mechanics and Heat Transfer