Oscillatory convection in a two-dimensional porous box with asymmetric lateral boundary conditions
Rees, D. A. S. and Tyvand, P. A., 2004. Oscillatory convection in a two-dimensional porous box with asymmetric lateral boundary conditions. Physics of Fluids, 16 (10), pp. 3706-3714.
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The onset of convection in a two-dimensional porous cavity is investigated where the cavity is subject to asymmetric boundary conditions at the lateral walls: one vertical wall is thermally conducting and impermeable, while the other is thermally insulating and open. At the open boundary the saturating fluid flows freely in and out from a hydrostatic reservoir in contact with the porous medium. The top and bottom of the box are impermeable and perfectly conducting. It is shown that the mode for onset of convection is oscillatory in time. This corresponds to a disturbance traveling as a wave through the box from the impermeable wall to the open wall. The preferred eigensolution, its oscillation frequency, and critical Rayleigh number are calculated numerically for different aspect ratios of the porous box, and these values are confirmed by means of suitable asymptotic analyses. © 2004 American Institute of Physics.
|Creators||Rees, D. A. S.and Tyvand, P. A.|
|Uncontrolled Keywords||flow of fluids,thermal insulation,porous materials,boundary conditions|
|Departments||Faculty of Engineering & Design > Mechanical Engineering|
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