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

Author

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  • Fazle Mabood
  • Waqar A. Khan
  • Ahmad Izani Md Ismail

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.

Suggested Citation

  • Fazle Mabood & Waqar A. Khan & Ahmad Izani Md Ismail, 2013. "Series Solution for Steady Heat Transfer in a Heat-Generating Fin with Convection and Radiation," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-7, September.
    • Handle: RePEc:hin:jnlmpe:806873
    DOI: 10.1155/2013/806873
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