https://doi.org/10.1140/epjp/s13360-024-05560-x
Regular Article
Entropy impact on MHD nanofluid flow in an enclosure with corrugated wall and elliptical cylinder: Brinkmann–Forchheimer model and FEM analysis
1
School of Mathematics and Statistics, Central South University, 410083, Changsha, Hunan, People’s Republic of China
2
School of Mathematics and Physics, Anqing Normal University, Anqing, People’s Republic of China
3
Department of Mathematics, Air University, Sector E-9, 44000, Islamabad, Pakistan
Received:
18
July
2024
Accepted:
14
August
2024
Published online:
27
August
2024
Surface corrugations in enclosures with irregular boundaries enhance heat transfer in diverse applications, including laser technology, electronic instrument cooling, photonic systems, magnetic resonance, and the automobile industry. This study’s objective is to evaluate the heat transfer properties of a corrugated wall enclosure stuffed with a nanofluid consisting of copper nanoparticles dispersed in water, with a specific focus on the influence of natural convection. A constant magnetic field and the characteristics of the interior heated elliptical cylinder are also experienced by the system. The governing equations are solved using the finite element method (FEM) implemented through COMSOL Multiphysics software. To investigate the impacts of various parameters such as Hartmann number (
), nanofluid volume fractions (
), Rayleigh number (Ra), and porosity (
), numerical results are presented using streamlines, isotherms, 
and entropy generation rate. The results show that there is a significant decrease in the maximum strength of streamlines (
) from 3.82 at = 0 to 
when is increased to
. For the different shapes of the inner elliptical cylinder 
at Ra =104–106, the computed highest growth in 
are 
, and 
, respectively. Additionally, with an increase in the 
, (), and (
), (
) demonstrates significant increments of 
, and 
, respectively. Conversely, an escalation in the 
leads to a 
reduction in the value of ().
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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.
