An integral equation approach to radiative heat transfer between heat conducting solids of arbitrary shape
Abstract
The main purpose of this paper is to present a nonlinear integral equation formulation to numerically solve composite boundary value problems encountered in the physical problem of radiative heat transfer between solids of arbitrary shape. The main difficulty in solving these types of boundary value problems is due to the nonlinear boundary conditions, which impose additional difficulties on the use of other techniques like the finite difference, the finite element, and variational methods. The fundamental Green's function of the two dimensional Laplace's operator is used to obtain a nonlinear Green's boundary formula, which is used to solve the temperature distribution on the boundaries of the region. The method is then applied to the problem of radiative heat transfer between a thickwalled cylinder and a thick plate.
 Publication:

ASME and American Institute of Chemical Engineers, 20th National Heat Transfer Conference
 Pub Date:
 August 1981
 Bibcode:
 1981ceht.confQ....C
 Keywords:

 Boundary Value Problems;
 Integral Equations;
 Radiative Heat Transfer;
 Solids;
 Thermal Conductivity;
 Boundary Conditions;
 Cross Sections;
 Green'S Functions;
 Nonlinear Equations;
 Temperature Distribution;
 Fluid Mechanics and Heat Transfer