SLOW VISCOUS-FLOW AROUND A VERTICAL PLATE ABOVE A PLANE WALL

Abstract

Two-dimensional slow viscous flow around a finite vertical plate above a plane wall is investigated based on the Stokes approximation. The flow at infinity is a simple shear flow parallel to the plane wall and/or the plane wall translates parallel to itself. A formal expression for the flow is obtained by solving a three-part Wiener-Hopf equation. By evaluating the formal expression, streamline patterns for typical cases are presented and the flows near the edges of the plate are discussed. Force and moment exerted on the plate are also calculated.