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Mathematical Problems in Engineering
Volume 2015, Article ID 716352, 9 pages
http://dx.doi.org/10.1155/2015/716352
Research Article

The Two-Dimensional Heat Transfer Analysis in Arrayed Fins with the Thermal Dissipation Substrate

Department of Marine Engineering, National Taiwan Ocean University, Keelung 20224, Taiwan

Received 10 July 2014; Revised 20 October 2014; Accepted 22 October 2014

Academic Editor: Hua Fan

Copyright © 2015 Hai-Ping Hu. 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

The aim of the present study is to investigate the two-dimensional heat transfer analysis in arrayed fins with thermal dissipation substrate. The governing equations for the fins and the substrate are expressed with Laplace equations, and the boundary conditions around the fins and substrate are Robin conditions. The present investigation first aims to provide a solution with regard to the geometry models by a series truncation method. Then the research will compare the results of the series truncation method with the point-matching method. Furthermore, the present study will also discuss the effects of dimension and Biot number of the fins on local dimensionless temperature, mean temperature, and heat transfer rate.