Summary
The flow of a uniform stream past an impermeable vertical surface embedded in a saturated porous medium and which is supplying heat to the porous medium at a constant rate is considered. The cases when the flow and the buoyancy forces are in the same direction and when they are in opposite direction are discussed. In the former case, the flow develops from mainly forced convection near the leading edge to mainly free convection far downstream. Series solutions are derived in both cases and a numerical solution of the equations is used to describe the flow in the intermediate region. In the latter case, the numerical solution indicates that the flow separates downstream of the leading edge and the nature of the solution near this separation point is discussed.
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Merkin, J.H. Mixed convection boundary layer flow on a vertical surface in a saturated porous medium. J Eng Math 14, 301–313 (1980). https://doi.org/10.1007/BF00052913
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DOI: https://doi.org/10.1007/BF00052913