https://doi.org/10.1140/epjp/s13360-025-06711-4
Regular Article
A comparative heat transfer analysis of rectangular fin through LTE and LTNE model
1
Department of Mathematics, CHRIST (Deemed to be University), 560076, Bengaluru, Karnataka, India
2
Department of Mathematics, CHRIST (Deemed to be University), 560076, Bengaluru, Karnataka, India
3
Faculty of Engineering, Kuwait College of Science and Technology, 35004, Doha District, Kuwait
4
Department of Mathematics, Amity School of Applied Sciences, Amity University, Bengaluru- 562110, India
a
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Received:
23
April
2025
Accepted:
31
July
2025
Published online:
22
August
2025
Abstract
The objective of this research is to compare the thermal performance of rectangular porous fins through the Local Thermal Equilibrium and the Local Thermal Non-Equilibrium models. The thermal interactions between the solid and fluid phases are represented by two distinct energy equations in the Local Thermal Non-Equilibrium model. Whereas, heat transfer is governed by a single energy equation in the Local Thermal Equilibrium model. The governing equations describing the temperature distribution inside the fin system are developed using basic heat transfer principles. To enhance thermal conductivity and total effectiveness of heat transmission, the fluid phase of water is amalgamated with 
and 
nanoparticles. The governing nonlinear ordinary differential equations are nondimensionalized, and the Runge–Kutta Fehlberg fourth-fifth order (RKF45) method is employed to solve these equations numerically. The accuracy and dependability of the obtained solution are confirmed by comparing it with previous findings. The influence of pertinent parameters on the thermal characteristics of the permeable fin is depicted graphically, and the rate of heat transfer is analyzed by Response surface methodology. It has been determined that, for the capturing of phase-wise thermal variations, Local Thermal Non-Equilibrium model performs better, particularly in permeable media with no heat conduction differences.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
