https://doi.org/10.1140/epjp/s13360-024-05515-2
Regular Article
A study on MHD Couette flow in a duct filled with porous materials at the thermal entrance and local thermal non-equilibrium effects
1
Department of Mathematics, Lovely Professional University, 144001, Phagwara, Punjab, India
2
Department of Mathematics, NIT Warangal, 506004, Warangal, India
3
Department of Mathematics, University of Central Florida, 32816, Orlando, USA
4
Department of Mathematics, IIT Hyderabad, 502285, Hyderabad, India
Received:
13
June
2024
Accepted:
26
July
2024
Published online:
4
August
2024
Understanding the intricate interplay between non-equilibrium heat transfer and fluid dynamics is key to enhancing the heat transfer processes, which can revolutionize the efficiency of heat exchangers and other thermal systems. This research delves into the impact of magnetic field on Couette flow in a porous-filled duct under the condition of local thermal non-equilibrium (LTNE). The model involves a moving bottom plate subjected to iso-flux boundary conditions, contrasting with a stationary and adiabatic top plate. Numerical solutions for the coupled equations are generated. The study presents temperature distributions in dimensionless form and the local Nusselt numbers in porous and fluid phases. Notably, the magnetic field significantly impacts the temperature distribution in both phases within the Couette flow model. Furthermore, the results demonstrate that, for the Hartmann number, the porous phase exhibits a higher temperature than that in the fluid phase, thereby confirming the presence of LTNE. This investigation primarily focuses on heat transfer to analyze and predict the thermal behaviour of fluids in systems such as heat exchangers, lubrication systems, and the cooling of electronic components. The study considers the effects of viscous dissipation and temperature differences to provide a comprehensive understanding of these processes. The study is unique in providing insights into the flow behaviour and the enhancement of heat transfer under complex thermal and magnetic conditions. Furthermore, the onset of the thermally fully developed condition has been presented for the Couette flow model under the LTNE model for the first time.
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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.
