A Numerical Solution For Non-linear Heat Flow Problem
Using Boundary Integral Method
Author(s)
S.G. Ahmed
Abstract
A numerical solution for non-linear heat flow
problem using boundary integral method
S.G. Ahrned
Associate Professor
Department of engineering Mathematics and Physics
Faculty of Engineering, Zagazig University,
Zagazig, Egypt, P. 0. Box 44.51 9
Abstract
In the present paper, the problem of heat flow during laser heat treatment of
surfaces is analyzed due to its practical importance in industry. The problem is
highly nonlinear due to the dependence of thermal conductivity and the heat
capacity on the temperature and the existence of the moving interface. For such a
problem, no analytical solution is available. In the present paper, a mathematical
analysis for the laser beam parameters is introduced through a numerical solution
for the problem. This analysis is based on solving an integral equation for each
phase using a proposed new numerical algorithm. The results gave a good
agreement with a previous finite difference solution.
1 Introduction
Mathematical analysis of heat flow during laser
Keywords
Related Book
Other papers in this volume
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