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Residue minimization technique to analyze the efficiency of convective straight fins having temperature-dependent thermal conductivity

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Title Residue minimization technique to analyze the efficiency of convective straight fins having temperature-dependent thermal conductivity
 
Creator KULKARNI, DB
JOGLEKAR, MM
 
Subject variational iteration method
homotopy-perturbation method
internal heat-generation
decomposition method
series solution
simplex-method
nonlinear fin equation
temperature-dependent thermal conductivity
fin efficiency
numerical technique
residue minimization
 
Description In this article, we propose and implement a numerical technique based on residue minimization to solve the nonlinear differential equation, which governs the temperature distribution in straight convective fins having temperature-dependent thermal conductivity. The form of temperature distribution is approximated by a polynomial series, which exactly satisfies the boundary conditions of the problem. The unknown coefficients of the assumed series are optimized using the Nelder-Mead simplex algorithm such that the squared L(2) norm of the residue attains its minimum value within a specified tolerance limit. The near-exact solution thus obtained is further used to calculate the fin efficiency. For the case of constant thermal conductivity, the obtained results are validated with the analytical solutions, while for the case of variable thermal conductivity, the obtained results are corroborated with those previously published in the literature. An excellent agreement in each case consolidates the effectiveness of the proposed numerical technique. (C) 2009
 
Publisher ELSEVIER SCIENCE INC
 
Date 2011-07-27T11:10:30Z
2011-12-26T12:56:54Z
2011-12-27T05:46:25Z
2011-07-27T11:10:30Z
2011-12-26T12:56:54Z
2011-12-27T05:46:25Z
2009
 
Type Article
 
Identifier APPLIED MATHEMATICS AND COMPUTATION, 215(6), 2184-2191
0096-3003
http://dx.doi.org/10.1016/j.amc.2009.08.011
http://dspace.library.iitb.ac.in/xmlui/handle/10054/7209
http://hdl.handle.net/10054/7209
 
Language en