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<p>The present study investigates the thermal behaviour and efficiency of a T-shaped porous fin subjected to convective and radiative heat transfer, where Darcy’s law is employed to model fluid flow through the porous structure. The governing equations for the stem and flange regions are solved using the homotopy perturbation method (HPM) to evaluate thermal performance and efficiency under the influence of various geometric and physical parameters, with the results showing strong agreement with existing literature. The results reveal that the stem exhibits a higher thermal profile than the flange due to its direct attachment to the heat source, whereas the T-shaped fin demonstrates superior heat dissipation compared to a rectangular fin, indicating enhanced cooling effectiveness. An increase in the <i>L</i><sub>R</sub> reduces the temperature distribution in both the stem and flange due to higher axial conduction resistance, while a higher α lowers stem temperature but enhances thermal uniformity in the flange by decreasing lateral conduction resistance. Efficiency decreases with increasing Nc, Nr, and m₂ due to intensified thermal losses, while it improves with larger ψ and <i>α</i> and declines with increasing <i>L</i><sub>R</sub>.</p> Graphical Abstract <p></p>

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Investigation of heat transfer and efficiency in T-shaped porous fin under fully wet conditions using the semi-analytical homotopy perturbation method

  • 期刊论文

  • 发表日期：

    2025年9月30日

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  • P. L. Pavan Kumar,
  • B. J. Gireesha,
  • P. Venkatesh

摘要

The present study investigates the thermal behaviour and efficiency of a T-shaped porous fin subjected to convective and radiative heat transfer, where Darcy’s law is employed to model fluid flow through the porous structure. The governing equations for the stem and flange regions are solved using the homotopy perturbation method (HPM) to evaluate thermal performance and efficiency under the influence of various geometric and physical parameters, with the results showing strong agreement with existing literature. The results reveal that the stem exhibits a higher thermal profile than the flange due to its direct attachment to the heat source, whereas the T-shaped fin demonstrates superior heat dissipation compared to a rectangular fin, indicating enhanced cooling effectiveness. An increase in the LR reduces the temperature distribution in both the stem and flange due to higher axial conduction resistance, while a higher α lowers stem temperature but enhances thermal uniformity in the flange by decreasing lateral conduction resistance. Efficiency decreases with increasing Nc, Nr, and m₂ due to intensified thermal losses, while it improves with larger ψ and α and declines with increasing LR.

Graphical Abstract