Analytical solutions and efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient

Analytical solutions and efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient

In this paper, the homotopy analysis method (HAM) is used to evaluate the analytical approximate solutions and efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient. The fin efficiency of the nonlinear fin problem with temperature-depen...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation Vol. 14; no. 8; pp. 3327 - 3338
Main Authors: Khani, F., Raji, M. Ahmadzadeh, Nejad, H. Hamedi
Format: Journal Article
Language:English
Published: Elsevier B.V 01-08-2009
Subjects:
Fin efficiency
Ham
Heat transfer
Heat transfer coefficients
Homotopy analysis method
Homotopy perturbation method
Mathematical analysis
Mathematical models
Nonlinearity
Plancks constant
Thermal conductivity
44.10.+I
Homotopy analysis method
Fin efficiency
44.05.+e
02.60.Lj
Thermal conductivity
Homotopy perturbation method
Heat transfer
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Summary:In this paper, the homotopy analysis method (HAM) is used to evaluate the analytical approximate solutions and efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient. The fin efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity is obtained as a function of thermo-geometric fin parameter. It is shown that the thermal conductivity parameter has a strong influence over the fin efficiency. The analytic solution of the problem is obtained by using the HAM. The HAM contains the auxiliary parameter ℏ, which adjusts and controls the convergence region of the solution series in a simple way. By choosing the auxiliary parameter ℏ in a suitable way, we can obtain reasonable solution for large values of M and β.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2009.01.012