Two-Dimensional Slow Viscous Flow Past a Plate Midway between an Infinite Channel

Abstract

Steady two-dimensional slow viscous flow past a finite plate midway between an infinite channel composed of two parallel planes is investigated. The plate is held parallel to plane walls and the fluid velocity is assumed to have a parabolic distribution at upstream infinity. The problem is reduced to a mixed boundary value problem and two methods of solution for large and small plates are presented. Local and total skin frictions exerted on the plate and the pressure distirbution on the channel wall are calculated.