Fractal View and Thermal Behavior of Fractional Metallic Porous Fins in Response to Changing Convective Conditions

Hafiz Muhammad Younas; Muhammad Mohy-U-Din Liaqat; Shahzad Anjum; Emaan  Afzal; Reha Salman; Sumbal Shahzadi

doi:10.32350/icr.41.05

Hafiz Muhammad Younas Riphah International University, Pakistan
Muhammad Mohy-U-Din Liaqat Riphah International University, Pakistan
Shahzad Anjum Riphah International University, Pakistan
Emaan Afzal Riphah International University, Pakistan
Reha Salman Riphah International University, Pakistan
Sumbal Shahzadi Riphah International University, Pakistan

Keywords: convection, heat transfer, fractional analysis, Homotopy Perturbation Method (HPM), permeability, porous, thermal

Abstract

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Porous, permeable, and structured fins enhance heat transfer due to their
thermophysical properties. Understanding the thermal gradients in these fins is critical for
a variety of engineering applications. This study applies the Homotopy Perturbation
Method (HPM) to nonlinear fractional differential equations describing porous fins,
focusing on factors such as porosity, permeability, and convection. Thermal analysis with
an insulated tip of a copper alloy reveals that porosity has the greatest impact on heat
transfer. The study highlights the effectiveness of HPM in analyzing these thermal
systems. The system's porosity is found to be more influential than any other factor.

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