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An iterative CVBEM solution of nonlinear heat transfer problems

โœ Scribed by Alain J. Kassab; Scott Chesla

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
729 KB
Volume
11
Category
Article
ISSN
0955-7997

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โœฆ Synopsis

An iterative technique is presented to extend the applicability of the CVBEM to the solution of heat transfer problems with nonlinear radiative boundary conditions, Additionally, nonlinearities arising from the variation of the thermal conductivity with temperature are addressed by means of the Kirchhoff transform. Simple substitution with underrelaxation leads to rapid convergence of the solution. Example problems are presented. The iterative approach is numerically validated and the CVBEM is shown to yield very accurate solutions in few iterations.

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