Article ID Journal Published Year Pages File Type
758261 Communications in Nonlinear Science and Numerical Simulation 2013 10 Pages PDF
Abstract

•Application of the two dimensional differential transform method.•New analytical solutions to nonlinear transient heat transfer in longitudinal rectangular and convex parabolic fins.•Study of the effects of thermal parameters on temperature distribution.•Comparison of the heat transfer in longitudinal rectangular against convex parabolic fins

In this article, approximate analytical (series) solutions for the temperature distribution in a longitudinal rectangular and convex parabolic fins with temperature dependent thermal conductivity and heat transfer coefficient are derived. The transient heat conduction problem is solved for the first time using the two-dimensional differential transform method (2D DTM). The effects of some physical parameters such as the thermo-geometric parameter, exponent and thermal conductivity gradient on temperature distribution are studied. Furthermore, we study the temperature profile at the fin tip.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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