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Convective flows near a solid embedded in a fluid-saturated porous medium heated from above

Published online by Cambridge University Press:  23 December 2024

T.P. Lyubimova Open the ORCID record for T.P. Lyubimova [Opens in a new window] ,
D.V. Lyubimov  and
E.S. Sadilov
T.P. Lyubimova*
Affiliation:
Institute of Continuous Media Mechanics UB RAS, 1, Koroleva Street, Perm 614013, Russia
D.V. Lyubimov
Affiliation:
Perm State University, Bukireva Street, Perm 614068, Russia
E.S. Sadilov
Affiliation:
Institute of Continuous Media Mechanics UB RAS, 1, Koroleva Street, Perm 614013, Russia
*
†Email address for correspondence: [email protected]
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Abstract

Convective flows near a cylindrical solid inclusion in a fluid-saturated porous medium heated from above are studied using the Darcy–Boussinesq equations. The impermeability condition is imposed on the inclusion surface. Two-dimensional convective flows uniform in the direction of the cylinder axis are considered. An Oseen-like approximation is implemented, however, different from the conventional Oseen approximation, quasilinearization is applied to the nonlinear terms in the energy equation and not in the momentum equation. It is shown that, when the thermal conductivity of the inclusion is higher than that of the fluid, the convective flow at a distance from the inclusion larger than the inclusion size takes the form of horizontal vortices directed away from the inclusion. In the case of low thermal conductivity of the inclusion, the direction of convective circulation is opposite: in the horizontal plane passing through the cylinder axis, the fluid is leaking to the inclusion.

JFM classification

Convection: Convection in porous media Wakes/Jets: Buoyant jets
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 1002 , 10 January 2025 , A5
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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