Thermal Investigation of the Magnetised Porous Triangular Fins and Comparative Analysis of Magnetised and Non-Magnetised Triangular Fins

Sharif Ullah, Mdi Begum Jeelani () and Ghaliah Alhamzi
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Sharif Ullah: Department of Mathematics, University of Malakand, Chakdara Dir(L) 18000, Khyber Pakhtunkhwa, Pakistan
Mdi Begum Jeelani: Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia
Ghaliah Alhamzi: Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi Arabia

Mathematics, 2025, vol. 13, issue 12, 1-14

Abstract: Fins are extended surfaces designed to increase heat dissipation from hot sources to their surroundings. Heat transfer is improved by utilising fins of different geometrical shapes. Fins are extensively used in automobile parts, solar panels, electrical equipment, computer CPUs, refrigeration systems, and superheaters. Motivated by these applications, this study investigates the incorporation of magnetic fields and porosity into a convective–radiative triangular fin to enhance heat transfer performance. The shooting technique is applied to study thermal profile and efficiency of the fin. It is found that the magnetic number (Hartmann number), porosity, convective, and radiative parameters reduce the thermal profile, while the Peclet number and ambient temperature increase it. Moreover, the efficiency increases with an increase in the magnetic number, porosity, convective, and radiative parameters, whereas it declines with an increase in the Peclet number and ambient temperature. Increasing the magnetic number from 0.1 to 0.7 leads to a 4 % reduction in the temperature profile. Similarly, raising the porosity parameter within the same range results in an approximate 3 % decrease in the thermal profile. An increase in the convective parameter from 0.1 to 0.7 causes about an 8 % decline in the thermal profile, while an elevation in the radiative parameter within the same range reduces it by approximately 2 % . In contrast, enhancing the Peclet number from 0.1 to 0.7 increases the thermal profile by nearly 2 % , and a rise in the ambient temperature within this range leads to an approximate 4 % enhancement in the thermal profile. Magnetised triangular fins are observed to have higher thermal transfer ability and efficiency than non-magnetised triangular fins. It is found that the incorporation of a magnetic field into a triangular fin, in conjunction with the porosity, improves the performance and efficiency of the triangular fin.

Keywords: triangular fin; magnetism; radiation; porosity convection; Peclet number (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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