Flow with convective acceleration through a porous medium
Abstract
The flow streaming into a porous and permeable medium with arbitrary but smooth wall surface is considered on the basis of the Euler equation (in the pure fluid region) and a generalized Darcy's law in which the convective acceleration is taken into account. The asymptotic behavior of the flow for small permeability of the medium is investigated. It is shown that the flow in the porous medium is irrotational except in the boundary layer next to the surface. The velocity distribution in the boundary layer is given in a universal form. Proper boundary conditions connecting the potential flow in the pure fluid region and the potential flow in the porous medium are obtained when the boundary layer is neglected.
 Publication:

Journal of Engineering Mathematics
 Pub Date:
 January 1976
 DOI:
 10.1007/BF01535425
 Bibcode:
 1976JEnMa..10...41Y
 Keywords:

 Acceleration (Physics);
 Convective Flow;
 Porous Walls;
 Potential Flow;
 Boundary Conditions;
 Boundary Layer Equations;
 Flow Velocity;
 Reynolds Number;
 Velocity Distribution;
 Vortices;
 Fluid Mechanics and Heat Transfer;
 Boundary Condition;
 Permeability;
 Boundary Layer;
 Porous Medium;
 Asymptotic Behavior