Laminar Flow with Slip in Channels with Uniformly Porous Walls

Abstract

The assumption of no slip does not accurately characterize momentum transfer near permeable walls. The influence of nonzero slip velocities on velocity profiles, pressure distribution, and friction coefficient are reported for laminar flow in a parallel plate channel with uniform suction or injection through its porous boundaries. The 2‐D Navier‐Stokes equations are reduced to a third‐order, nonlinear, ordinary differential equation with one free parameter by introducing an appropriate stream function that is then solved numerically. This solution is valid for arbitrary values of the wall Reynolds number