Heat conduction with temperature dependent thermal conductivity
Abstract
In this paper, a boundary integral type of numerical technique is formulated for the solution of the conduction of heat in systems, with temperature dependent conductivities. The formulation and the numerical approach are generally applicable to two and three-dimensional domains with irregular boundary shapes. The scheme presented is also generalized to include different types of boundary conditions and conductivity-temperature relationships. The method is then applied to two specific examples with known exact solutions for the purpose of comparison. Moreover, a two-dimensional region with mixed boundary conditions and irregular shaped boundaries subjected to different types of boundary conditions is used to illustrate the versatility of the technique as a computational procedure. Finally, an extension of the method to include convective boundary conditions is outlined.
- Publication:
-
American Society of Mechanical Engineers and American Institute of Chemical Engineers, Joint National Heat Transfer Conference
- Pub Date:
- July 1980
- Bibcode:
- 1980ceht.confQ....K
- Keywords:
-
- Boundary Value Problems;
- Conductive Heat Transfer;
- Numerical Integration;
- Thermal Conductivity;
- Boundary Conditions;
- Heat Flux;
- Interpolation;
- Temperature Dependence;
- Fluid Mechanics and Heat Transfer