Abstract
The effect of hydrodynamic dispersion on the onset of convection in flows through porous media is studied theoretically. The medium is isotropic, and bounded by two horizontal impermeable planes having a constant concentration difference. Pressure-driven as well as thermally-driven basic flows are considered. The investigations are valid in the limit of small and large Peclet numbers. The analysis shows that the onset of convection is independent of the longitudinal dispersion coefficient, while lateral dispersion always has a stabilizing effect. The preferred mode of disturbance is stationary, being rolls with axes aligned in the direction of the basic flow (longitudinal rolls).
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