The Onset of Double-diffusive Convection in a Horizontal Layer of a Porous Medium in the Presence of Vibration
نویسنده
چکیده
The present work investigates the effect of vertical harmonic vibration on the onset of convection in an infinite horizontal layer of a binary fluid mixture saturating a porous medium. We assume that the fluid component of the mixture is viscous and incompressible, the porous medium is homogeneous and isotropic, and the boundaries are rigid and impermeable, with slip allowed. A constant temperature and concentration distribution is specified on the boundaries. The mathematical model is described by equations of filtrational convection (see [4], [2]) in the Darcy-Oberbeck-Boussinesq approximation. In the coordinate system inflexibly fixed to the oscillating horizontal layer, with the z-axis directed vertically upward, the governing equations have the following form:
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