Library Subscription: Guest
Home Archives Thermal Letter Officers Future meetings Assembly for International Heat Transfer Conferences
International Heat Transfer Conference 11

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

SOLVING THE NONLINEAR HEAT EQUATION WITH THE BOUNDARY INTEGRAL METHOD

Okey Oseloka Onyejekwe
Department of Civil Engineering, University of Durban, Westvill, Durban, South Africa

DOI: 10.1615/IHTC11.3720
pages 225-229

Abstract

We apply a novel numerical technique based on the boundary integral theory to solve problems arising from the transient response of nonlinear transport in a homogeneous isotropic medium. The nonlinearity associated with such problems is handled by discretization in the main domain of integration. In a typical finite element fashion the weighting or interpolation functions are defined for each subinterval in such a way that the solution profile is related to each node of the problem domain. This results in a hybrid procedure for an efficient solution of this class of problems. Illustrative results are presented for test problems whose solutions are available in literature. In all cases very encouraging results are obtained for problems involving 1-D and 2-D nonlinear transport.

Purchase $25.00 Check subscription Publication Ethics and Malpractice Recommend to my Librarian Bookmark this Page