WIT Press


Boundary Integral Formulation For Non-linear Heat Conduction In Anisotropic Heterogeneous Media

Price

Free (open access)

Paper DOI

10.2495/BE980621

Volume

21

Pages

10

Published

1998

Size

835 kb

Author(s)

Eduardo Divo & Alain Kassab

Abstract

The recently developed BEM formulation of the authors for heat conduction in media with spatially dependent thermophysical properties is herein implemented to approximate the solution of problems in which the temperature dependency of the material properties results into a non-linear governing equation. The thermal conductivity of the medium is also considered to be anisotropic. An iterative approach is used to lag the thermal conductivity as a spatially varying function Numerical examples of the present application are provided in regular and irregular geometries. BEM solutions are found to be in agreement with analytical solutions. Convergence of the iterative scheme is very fast satisf

Keywords