https://doi.org/10.1140/epjs/s11734-024-01114-5
Regular Article
Thermal scrutinization of a triangular porous fin induced by linear and nonlinear temperature-dependent heat generation and magnetic field effect: the case of Darcy model
1
Department of Mathematics, School of Applied Sciences, REVA University, Bengaluru, Karnataka, India
2
Department of Mathematics, Faculty of Science, Sakarya University, 54050, Serdivan/Sakarya, Turkey
3
Department of Computer Science and Mathematics, Lebanese American University, 1401, Byblos, Lebanon
4
Department of Mathematics and Social Sciences, Sukkur IBA University, 65200, Sukkur, Sindh, Pakistan
5
Department of Mechanical Engineering, University of West Attica, 12244, Athens, Greece
6
Mechanical Engineering Department, College of Engineering, King Saud University, P.O.Box 800, 11421, Al-Riyadh, Saudi Arabia
e umairkhan@iba-suk.edu.pk, umair.khan@lau.edu.lb
Received:
2
May
2023
Accepted:
2
February
2024
Published online:
16
February
2024
The present study investigates the use of a triangular-profiled fin to enhance heat transfer. It specifically focuses on the impact of a ternary nanofluid, incorporating Zr, Cu, and Al2O3 nanoparticles in an ethylene glycol base fluid, in the context of heat transfer involving a porous triangular fin. This investigation accounts for both linear and non-linear internal heat generation, the presence of a magnetic field, and radiation effects. The problem at hand involves a second-order ordinary differential equation, which is transformed into a dimensionless form by utilizing dimensionless terms. This transformed ordinary differential equation is then solved using the differential transformation technique, employing a semi-analytical approach. The study systematically examines the influence of various thermal parameters on temperature distribution and fin efficiency, considering that the fin tip is insulated. Notably, an increase in the convective–conduction and porosity parameters is found to decrease the heat transfer rate. Conversely, the use of a ternary nanofluid and the incorporation of a non-linear form of internal heat generation leads to higher heat transfer rates. Through thermal analysis, it is determined that a magnesium alloy and a fin base thickness of 0.75 cm are optimal for achieving enhanced heat transmission in a triangular fin configuration.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
