The onset of convection in horizontally partitioned porous layers
Genc, G. and Rees, D. A. S., 2011. The onset of convection in horizontally partitioned porous layers. Physics of Fluids, 23 (6), 064107.
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In this paper, the onset of convection in a horizontally partitioned porous layer is investigated. Two identical sublayers are separated by a thin impermeable barrier. There exists a background horizontal flow in one of the layers or, equivalently, flows of half that strength in each sublayer but in opposite directions. A linearised stability analysis is performed where the horizontal component of the disturbance is factored into separate Fourier modes, leaving an ordinary differential eigenvalue problem for the critical Darcy-Rayleigh number as a function of the wavenumber. The dispersion relation is derived and the neutral stability curves are obtained for a wide range of horizontal flow rates. The presence of the horizontal flow alters the morphology of the neutral curves from that which occurs when there is no flow and travelling modes may arise. We also determine the condition under which the most dangerous disturbance changes from a stationary mode to travelling mode. Some three-dimensional aspects are also considered.
|Creators||Genc, G.and Rees, D. A. S.|
|Departments||Faculty of Engineering & Design > Mechanical Engineering|
|Research Centres||Aerospace Engineering Research Centre|
|Publisher Statement||Rees_Physics-of-Fluids_2011_23_064107.pdf: This article appeared in Genc, G. and Rees, D. A. S., 2011. The onset of convection in horizontally partitioned porous layers. Physics of Fluids, 23 (6), 064107 and may be found at http://dx.doi.org/10.1063/1.3589864|
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