Abstract
Navier–Stokes flow within the pores of, and over, a porous body is averaged using scale–dependent weighting function methodology. Equations governing steady uniaxial (averaged) flow parallel to a planar porous boundary are derived and used to examine the status of the ad hoc slip–boundary condition of Beavers and Joseph. Particular attention is drawn to the roles played by the averaging length–scale and behaviour in the associated boundary–interfacial region.
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More From: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
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