FIG. 1. Schematic representation of the flow in a channel partially obstructed with a porous medium, showing the three regions of the system, the volume averaging domain of radius r0, and the characteristic lengths L for the macroscopic size of the porous medium, ‘b in the fluid phase, b, and ‘r in the solid phase, r, within the porous medium. The x, g x, and g regions, respectively, correspond to z zx; zx z zg, and zg z h. The unit normal vector at the solidfluid interface, directed from the b-phase to the r-phase, is denoted by n.
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