https://doi.org/10.1140/epjp/s13360-023-04347-w
Regular Article
Mixed convection in a liquid-saturated densely packed porous medium using local thermal non-equilibrium model
1
Department of Mathematics, R V College of Engineering, Mysore Road, RV Vidyaniketan, Post, 560 059, Bengaluru, India
2
Department of Mathematics, B. M. S. College of Engineering, 560 019, Bengaluru, India
b
hemanthkumar.maths@bmsce.ac.in
Received:
7
February
2023
Accepted:
31
July
2023
Published online:
17
August
2023
An analytic study of Darcy–Bénard convection in a Newtonian liquid-saturated porous medium in the presence of pressure gradient and heat source using local thermal non-equilibrium model (LTNE) is carried out. The presumption of LTNE hastens the convection onset and augments the amount of heat transport. The effect of increasing the porosity-modified ratio of thermal conductivity and heat source fosters the convection onset and inflates the amount of heat transport, while an opposite trend is noticed in case of the remaining parameters. The effect of LTNE ceases and results of Darcy–Bénard convection using LTE model are obtained as a limiting case for large values of ratio of thermal conductivities and interphase heat transfer coefficient. Asymptotic analysis is carried out to determine the point at which the effect of LTNE ceases.
Copyright comment 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. 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.
