GENERAL BOUNDARY-ELEMENT METHOD FOR UNSTEADY NONLINEAR HEAT TRANSFER PROBLEMS

The general boundary-element method (BEM) for strongly nonlinear problems proposed in \[1 - 3] is further applied to solve a two-dimensional (2D), unsteady, nonlinear heat transfer problem in the time domain, governed by the parabolic heat conduction equation with temperature-dependent thermal condu...

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Bibliographic Details
Published in:Numerical heat transfer. Part B, Fundamentals Vol. 35; no. 2; pp. 225 - 242
Main Author: Liao, Shi-Jun
Format: Journal Article
Language:English
Published: Philadelphia, PA Informa UK Ltd 01.03.1999
Taylor & Francis
Subjects:
Analytical and numerical techniques
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Heat conduction
Heat transfer
Physics
Temperature distribution
Parabolic equations
Digital simulation
Nonlinear problems
Microwave heating
Inhomogeneous materials
Boundary element method
Plates
Thermal conduction
ISSN:1040-7790, 1521-0626
Online Access:Get full text
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Summary:The general boundary-element method (BEM) for strongly nonlinear problems proposed in \[1 - 3] is further applied to solve a two-dimensional (2D), unsteady, nonlinear heat transfer problem in the time domain, governed by the parabolic heat conduction equation with temperature-dependent thermal conductivity coefficients that are different in the x and y directions. This article shows that the general BEM is valid to solve even those nonlinear unsteady heat transfer problems whose governing equations do not contain any linear terms in the spatial derivatives. This demonstrates the validity and the great potential of the general BEM.
ISSN:1040-7790
1521-0626
DOI:10.1080/104077999275965