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Accurate Solution for Convective–Radiative Fin with Variable Thermal Conductivity and Nonlinear Boundary Condition by DTM

Content Provider	Springer Nature Link
Author	Torabi, Mohsen Yaghoobi, Hessameddin
Copyright Year	2013
Abstract	In this paper, a convective–radiative straight fin with temperature-dependent thermal conductivity is analyzed. The tip of the fin is assumed to lose heat by convection and radiation to the same sink. The calculations are carried out using the differential transformation method (DTM) which is a semi-numerical-analytical solution technique that can be applied to various types of differential equations. The principle of differential transformation is briefly introduced, and then applied for the afore-mentioned equations. The current results are then compared with previously obtained results using the variational iteration method, the homotopy perturbation method, the homotopy analysis method, the double optimal linearization method and numerical solution to verify the accuracy of the proposed method. The findings reveal that the DTM can achieve more suitable than other methods in predicting the solution of such problems. After this verification, we analyze fin efficiency and the effects of some physically applicable parameters in this problem such as thermal conductivity, the convection–conduction parameter, the radiation–conduction parameter, convection sink temperature and radiation sink temperature.
Starting Page	3575
Ending Page	3585
Page Count	11
File Format	PDF
ISSN	13198025
Journal	Arabian Journal for Science and Engineering
Volume Number	38
Issue Number	12
e-ISSN	21914281
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-09-04
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Straight fin Fin efficiency Variable thermal conductivity Differential transformation method Numerical solution Engineering Science
Content Type	Text
Resource Type	Article

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