Laminar flow of an incompressible viscous fluid between two fixed porous disks

An exact solution of Navier-Stokes equations is studied, which represents the flow between two porous disks with constant injection rates. For small values of Reynolds number based on a blowing velocity, the solution is expressed as a power series of the Reynolds number. For large values of the Reynolds number, the flow is inviscid almost everywhere, except in a layer inside the flow where there is a rapid variation of velocity gradient; an approximate method of the type proposed by Meksyn is used. When there is no blowing on one wall a boundary layer does exist, and the method of matched asymptotic expansions is used.