Indexed by:期刊论文
Date of Publication:2016-01-02
Journal:NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS
Included Journals:SCIE、EI、ESI高被引论文
Volume:69
Issue:1
Page Number:68-83
ISSN No.:1040-7790
Abstract:The applicability of the collocation spectral method (CSM) for solving nonlinear heat transfer problems is demonstrated in a convective-radiative fin with temperature-dependent properties. In this method, the fin temperature distribution is approximated by Lagrange interpolation polynomials at spectral collocation points. The differential form of the energy equation is transformed to a matrix form of algebraic equations. The computational convergence of the CSM approximately follows an exponential decaying law; and thus, it is a very simple and effective approach for a rapid assessment of nonlinear physical problems. The effects of temperature-dependent properties such as thermal conductivity, surface emissivity, heat transfer coefficient, convection-conduction parameter, and radiation-conduction parameter on the fin temperature distribution and efficiency are discussed.
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