TRANSVERSE FLOW OVER AN ARRAY OF CYLINDERS EMBEDDED IN A POROUS MEDIUM

Transverse flow or cross flow with the main flow direction perpendicular to cylinder arrays embedded in a porous medium is studied. The fourth order governing equation for the stream function is solved by eigenfunction expansion and point match on the repeating boundary. Recirculation eddies exist for the square array of larger cylinder radius and lower porous media factor. Effective permeabilities of the cylinder array-porous medium system are determined. The single cylinder approximation and the Darcy approximation are valid only for very small cylinder radii and very large porous media factors.