Northward transport in a stress driven flow confined to a porous medium (Sverdrup relation in a porous medium)

Abstract

We obtain an expression for the total northward mass transport in a porous bed of large extant subject to a stress applied at the top free surface using β-plane approximation. It is found that β-effect is found to be responsible for western intensification of ocean currents. The total northward transport of fluid (See Sverdrup [11]) is found to be closed through the western boundary layer (See: Stommel [4]) in the presence of porous medium.