Series Solution for Steady Heat Transfer in a Heat-Generating Fin with Convection and Radiation

Fazle Mabood, Waqar A. Khan and Ahmad Izani Md Ismail

Mathematical Problems in Engineering, 2013, vol. 2013, 1-7

Abstract:

The steady heat transfer in a heat-generating fin with simultaneous surface convection and radiation is studied analytically using optimal homotopy asymptotic method (OHAM). The steady response of the fin depends on the convection-conduction parameter, radiation-conduction parameter, heat generation parameter, and dimensionless sink temperature. The heat transfer problem is modeled using two-point boundary value conditions. The results of the dimensionless temperature profile for different values of convection-conduction, radiation-conduction, heat generation, and sink temperature parameters are presented graphically and in tabular form. Comparison of the solution using OHAM with homotopy analysis method (HAM) and Runge-Kutta-Fehlberg fourth-fifth-order numerical method for various values of controlling parameters is presented. The comparison shows that the OHAM results are in excellent agreement with NM.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:806873

DOI: 10.1155/2013/806873

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