Showing papers in "Journal of Applied Mechanics in 1958"

Laminar flow in a uniformly porous channel

Abstract: The problem of laminar channel flow has been investigated for the case of uniform fluid suction or injection through the channel walls. The solutlon can be divided into three steps: (a) A judicious choice of stream function reduces the Navier-Stokes equations to an ordinary, fourth-order, nonlinear differential equation, which contains a free parameter R, the Reynolds number based upon fluid velocity through the wall. (b) Since general analysis of this equation is intractable, the parameter R is eliminated by a sultable transformation. (c) The transformed, nonparametric equatlon yields to a series solutlon, valid and absolutely convergent for all R. From this general solution, expressions are developed for velocity components, pressure distribution, and wall-friction coefficient. (auth)