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Convective instability in superposed fluid and porous layers with vertical throughflow

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Khalili,  A.
Department of Biogeochemistry, Max Planck Institute for Marine Microbiology, Max Planck Society;

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Citation

Khalili, A., Shivakumara, I. S., & Suma, S. P. (2003). Convective instability in superposed fluid and porous layers with vertical throughflow. Transport in Porous Media, 51(1), 1-18.


Cite as: http://hdl.handle.net/21.11116/0000-0001-D23D-E
Abstract
A closed form solution to the convective instability in a composite system of fluid and porous layers with vertical throughflow is presented. The boundaries are considered to be rigid-permeable and insulating to temperature perturbations. Flow in the porous layer is governed by Darcy-Forchheimer equation and the Beavers-Joseph condition is applied at the interface between the fluid and the porous layer. In contrast to the single-layer system, it is found that destabilization due to throughflow arises, and the ratio of fluid layer thickness to porous layer thickness, zeta, too, plays a crucial role in deciding the stability of the system depending on the Prandtl number.