Laminar flow of an incompressible viscous fluid between two fixed porous disks
Abstract
An exact solution of NavierStokes 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.
 Publication:

Journal de Mecanique
 Pub Date:
 1975
 Bibcode:
 1975JMec...14..435F
 Keywords:

 Fluid Injection;
 Laminar Flow;
 NavierStokes Equation;
 Porous Plates;
 Reynolds Number;
 Boundary Layer Flow;
 Circular Plates;
 Coaxial Flow;
 Flow Velocity;
 Incompressible Fluids;
 Viscous Fluids;
 Fluid Mechanics and Heat Transfer