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<p>The Adomian Decomposition Sumudu Transform Method (ADSTM) is applied to solve a fractional-order problem that involves temperature variations in a fully wet convective–radiative longitudinal fin. Darcy’s law is used in formulating the energy balance equation to take into account the porous nature of the fin. The fractional-order energy balance equation for the fin is solved under two situations: a constant convective heat transfer coefficient and a temperature-dependent convective heat transfer coefficient. The ADSTM solution is compared with numerical results, obtained using the Runge–Kutta–Fehlberg approach. A series solution is obtained, and the roles of various parameters of the fractional-order differential equation are analyzed. It is found that the solution to the fractional-order differential equation outperforms the integer-order solution in modeling the temperature profile of the fin. Furthermore, it is observed that improvements in the wet porous characteristics of the fin lead to a reduction in its temperature.</p>

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Fractional-order energy equation of a fully wet longitudinal fin with convective–radiative heat exchange through Sumudu transform analysis

  • 期刊论文

  • 发表日期：

    2025年3月18日

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  • Manohar R. Gombi,
  • B. J. Gireesha,
  • P. Venkatesh,
  • M. L. Keerthi,
  • G. K. Ramesh

摘要

The Adomian Decomposition Sumudu Transform Method (ADSTM) is applied to solve a fractional-order problem that involves temperature variations in a fully wet convective–radiative longitudinal fin. Darcy’s law is used in formulating the energy balance equation to take into account the porous nature of the fin. The fractional-order energy balance equation for the fin is solved under two situations: a constant convective heat transfer coefficient and a temperature-dependent convective heat transfer coefficient. The ADSTM solution is compared with numerical results, obtained using the Runge–Kutta–Fehlberg approach. A series solution is obtained, and the roles of various parameters of the fractional-order differential equation are analyzed. It is found that the solution to the fractional-order differential equation outperforms the integer-order solution in modeling the temperature profile of the fin. Furthermore, it is observed that improvements in the wet porous characteristics of the fin lead to a reduction in its temperature.