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<p>Fin structures are vital components in thermal management systems, enabling effective heat dissipation across a wide range of engineering applications, including power generation, microelectronics, and automotive industries. This study investigates the thermal performance of longitudinal radiative-convective moving fins with trapezoidal, concave parabolic, and convex geometries. The analysis incorporates the simultaneous effects of key temperature-dependent parameters: thermal conductivity, convective heat transfer coefficient, internal heat generation, wet porous medium, and surface emissivity. To solve the resulting nonlinear system, a novel numerical technique called, Cocktail Party Graph Collocation Method based on the Clique Polynomial of a complete graph, employed to determine the dimensionless temperature profiles and fin tip temperatures. Results indicate that increasing the Peclet number from 1 to 5 enhances the dimensionless tip temperature by approximately 12.7%. However, the impact of the Peclet number diminishes with increasing wet porous parameter, along with a concurrent reduction in the influence of the radiation-conduction number. At lower values of the conduction–convection parameter, both the Peclet and convection parameters significantly affect the tip temperature, with the radiation parameter exerting a dominant influence. Moreover, at low convection parameter values, the wet porous parameter contributes to a further decrease in the tip temperature. This comprehensive parametric study offers critical insights for optimizing fin design and improving thermal efficiency in advanced heat transfer systems.</p>

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Thermal analysis of moving fins with trapezoidal, parabolic, and convex profiles under internal heat generation, and porosity effects: an application of clique polynomial of cocktail party graph

  • 期刊论文

  • 发表日期：

    2025年8月20日

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  • K. J. Gowtham,
  • B. J. Gireesha

摘要

Fin structures are vital components in thermal management systems, enabling effective heat dissipation across a wide range of engineering applications, including power generation, microelectronics, and automotive industries. This study investigates the thermal performance of longitudinal radiative-convective moving fins with trapezoidal, concave parabolic, and convex geometries. The analysis incorporates the simultaneous effects of key temperature-dependent parameters: thermal conductivity, convective heat transfer coefficient, internal heat generation, wet porous medium, and surface emissivity. To solve the resulting nonlinear system, a novel numerical technique called, Cocktail Party Graph Collocation Method based on the Clique Polynomial of a complete graph, employed to determine the dimensionless temperature profiles and fin tip temperatures. Results indicate that increasing the Peclet number from 1 to 5 enhances the dimensionless tip temperature by approximately 12.7%. However, the impact of the Peclet number diminishes with increasing wet porous parameter, along with a concurrent reduction in the influence of the radiation-conduction number. At lower values of the conduction–convection parameter, both the Peclet and convection parameters significantly affect the tip temperature, with the radiation parameter exerting a dominant influence. Moreover, at low convection parameter values, the wet porous parameter contributes to a further decrease in the tip temperature. This comprehensive parametric study offers critical insights for optimizing fin design and improving thermal efficiency in advanced heat transfer systems.