Abstract

The influence of heat dispersion on steady buoyancy-driven convection is theoretically investigated. The motion takes place in an anisotropic porous layer with a uniform basic flow and being uniformly heated from below. The fluid-saturated layer is horizontally isotropic with respect to permeability and thermal diffusivity. It is of infinite horizontal extent and bounded by two horizontal perfectly heat-conducting planes. Dispersion effects at small Péclet numbers on the amplitude of the motion and on the heat transport are analytically studied.

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