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The onset of convection in horizontally partitioned porous layers


Reference:

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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    Official URL:

    http://dx.doi.org/10.1063/1.3589864

    Abstract

    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.

    Details

    Item Type Articles
    CreatorsGenc, G.and Rees, D. A. S.
    DOI10.1063/1.3589864
    DepartmentsFaculty of Engineering & Design > Mechanical Engineering
    Research CentresAerospace Engineering Research Centre
    Publisher StatementRees_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
    RefereedYes
    StatusPublished
    ID Code24971

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