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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 85, 2024 - Issue 14
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Articles

Second law analysis of thermo-magneto-hydrodynamic couple-stress fluid flow in a cavity with heated fin

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Pages 2241-2256 | Received 05 Jan 2023, Accepted 19 May 2023, Published online: 12 Jun 2023
 

Abstract

The objective of current study is to analyze the magnetohydrodynamic (MHD) natural convection flow of couple-stress fluid and entropy generation (second law analysis) inside the cavity with heated fin by using the Galerkin finite element method. The heated fin has been placed in middle of the heated bottom wall, the temperature Tc is fixed on the vertical walls and an insulated situation is considered at the top wall. The irreversibility ratio and heat flux inside the enclosure are examined through entropy generation and Bejan heatlines, respectively. The obtained results show that the intensity of circulations of streamlines decrease from 3.9744 to 0.03148 and heatlines from 7 to 4.5 due to increasing couple-stress parameter (K) from 0 to 1.5. It is noted that the heatlines bowls appear due to enhanced buoyancy-driven flow against high Rayleigh number. The reverse relation is noted between the entropy generation and the Hartmann number. The overall heat transfer rate along with the bottom and vertical side walls increase 111.65%  and 75.8297%, respectively, with increasing the fin height from 0 to 0.25. Obtained results could help to optimize heat transfer in engineering systems like heat exchangers, cooling processes of devices, chemical reactors, and solar collectors.

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