https://doi.org/10.1140/epjp/s13360-024-05001-9
Regular Article
Response surface methodology on optimizing heat transfer rate for the free convection of micro-structured fluid through permeable shrinking surface
1
Department of Mathematics, Odisha University of Technology and Research, 751029, Bhubaneswar, Odisha, India
2
Department of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, 751030, Bhubaneswar, Odisha, India
3
Department of Mathematics, National Institute of Technology, 796012, Aizawl, Mizoram, India
4
Centre for Data Science, Siksha ‘O’ Anusandhan Deemed to be University, 751030, Bhubaneswar, Odisha, India
b
satyaranjan_mshr@yahoo.co.in
Received:
1
November
2022
Accepted:
13
February
2024
Published online:
5
March
2024
The current research is intended to optimize the heat transfer rate for the free convective flow of micropolar fluid past a permeable shrinking surface. The electrically conducting fluid due to the interaction of the applied magnetic field through porous medium enhances the study. Further, the consideration of the dissipative heat as well as thermal radiation encourages the phenomena greatly. The transformed governing equations that are obtained with the help of the proposed similarity transformation are solved numerically using the finite element method (FEM). The analysis of several characterizing parameters is presented graphically. The novelty of the proposed work arises due to the implementation of a new statistical technique known as the response surface method (RSM) that is used to estimate the optimized heat transfer rate. Moreover, regression analysis is carried out for the proposed data of heat transfer rate by adopting analysis of variance (ANOVA). The comparative analysis with the earlier investigation shows a good correlation that validates the current result. Finally, the important outcomes are: the non-Newtonian material constraint enriches the fluid velocity, whereas the resistive forces for the inclusion of the magnetic field along with porosity attenuate it significantly.
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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.
