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The Scientific World Journal
Volume 2014, Article ID 451274, 8 pages
http://dx.doi.org/10.1155/2014/451274
Research Article

Application of Genetic Algorithms in Nonlinear Heat Conduction Problems

1Department of Electronics and Power Engineering, PN Engineering College, National University of Sciences and Technology, PNS Jauhar, Karachi 75350, Pakistan
2Department of Engineering Sciences, PN Engineering College, National University of Sciences and Technology, PNS Jauhar, Karachi 75350, Pakistan

Received 23 August 2013; Accepted 7 November 2013; Published 17 February 2014

Academic Editors: K. J. Chua and A. J. N. Khalifa

Copyright © 2014 Muhammad Bilal Kadri and Waqar A. Khan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Genetic algorithms are employed to optimize dimensionless temperature in nonlinear heat conduction problems. Three common geometries are selected for the analysis and the concept of minimum entropy generation is used to determine the optimum temperatures under the same constraints. The thermal conductivity is assumed to vary linearly with temperature while internal heat generation is assumed to be uniform. The dimensionless governing equations are obtained for each selected geometry and the dimensionless temperature distributions are obtained using MATLAB. It is observed that GA gives the minimum dimensionless temperature in each selected geometry.