https://doi.org/10.1140/epjp/s13360-024-04915-8
Regular Article
Thermal aspects of a radiative-convective semi-spherical porous fin of functionally graded material
1
Department of Mathematics, K.L.E Society’s J.T. College, 582102, Gadag, Karnataka, India
2
Department of Mathematics, Sri Siddhartha Academy of Higher Education(Deemed to be University), Tumakuru, Karnataka, India
3
Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Bengaluru, India
4
Department of Mathematics, Sahyadri Science College, 577201, Shivamogga, Karnataka, India
5
Department of P.G. Studies and Research in Mathematics, Kuvempu University, 577451, Shankaraghatta, Shivamogga, Karnataka, India
Received:
27
May
2023
Accepted:
18
January
2024
Published online:
29
January
2024
The primary goal of this study is to examine the effects of radiation and convection on the thermal efficiency of a porous semi-sphere. The functionally graded material (i.e., quadratic, linear, and exponential FGM) used to construct the fin was selected after extensive research into the spatial dependence of its heat capacity. The non-dimensional similarity problem is solved using the RKF 45 technique. A parameterized analysis is performed to evaluate the effect of the relevant factors on the fin’s temperature profile and heat transfer rate. Visual representations are used to compare the outcomes in all three scenarios. The results showed that quadratic FGM enhanced delayed heat transmission, whereas linear FGM was best for low-temperature processes. The heat transmission of quadratic function-graded materials is larger than that of linear and exponential function-graded materials.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and 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.
