Abstract
The effect of hydrodynamic dispersion on the onset of thermal convection in flows through anisotropic porous media is studied theoretically. The porous layer is homogeneous and bounded by two infinite perfectly-heat-conducting impermeable horizontal planes kept at constant temperatures. Horizontal isotropy with respect to permeability and thermal diffusivity is assumed. A pressure-driven basic flow is considered in the limits of small and large Peclet numbers. The analysis shows that the onset of convection in both cases is independent of longitudinal dispersion, while dispersion in lateral directions has stabilizing effects. The preferred mode of disturbance consists of stationary rolls with axes aligned in the direction of the basic flow.
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