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Thermal Performance Evaluation of Longitudinal Fins with Various Profiles Using Homotopy Perturbation Method

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Abstract

The thermal performance of longitudinal radiative–convective fins with rectangular, trapezoidal, and concave parabolic profiles was analyzed by the homotopy perturbation method (HPM). The governing equation of the problem was obtained by establishing the energy balance for a longitudinal element on the longitudinal radiative–convective fin. In addition, thermal conductivity, convective heat transfer coefficient, and surface emissivity were assumed to change with temperature. Given its nonlinear nature, the governing equation was solved relying on the HPM. Validating the results from this method with those of the differential transform method, a good agreement was achieved between the two. In parametric studies, the fins were compared in terms of heat transfer rate, effectiveness, and efficiency. Further, the effects of changes in thermal conductivity, emissivity, convection–conduction parameter, and the radiation–conduction parameter were also investigated on the fin performance. The results were suggestive of the potentials of HPM as a reliable tool for solving nonlinear equations such as the energy equation for radiative–convective fins without compromising accuracy or speed. Further, the concave parabolic fin was found to have a higher heat transfer rate, efficiency, and effectiveness than its rectangular and trapezoidal counterparts.

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Authors and Affiliations

  1. Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran

    Arman Irandegani & Murteza Sanjaranipour

  2. Department of Mechanical Engineering, University of Sistan and Baluchestan, Zahedan, Iran

    Faramarz Sarhaddi

Authors
  1. Arman Irandegani
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  2. Murteza Sanjaranipour
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  3. Faramarz Sarhaddi
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Contributions

All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by AI, MS and FS. The first draft of the manuscript was written by AI, and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Murteza Sanjaranipour.

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Irandegani, A., Sanjaranipour, M. & Sarhaddi, F. Thermal Performance Evaluation of Longitudinal Fins with Various Profiles Using Homotopy Perturbation Method. Iran J Sci Technol Trans Sci 44, 1761–1774 (2020). https://doi.org/10.1007/s40995-020-00973-6

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  • DOI: https://doi.org/10.1007/s40995-020-00973-6

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