Simple Solutions of Boundary Layer Equations

Abstract

In this chapter two- and three-dimensional boundary layer flows in the vicinity of a stagnation point are studied as are flows around wedges and along wedge sidewalls. The flow, induced in the half plane above a rotating plane, is also analyzed. The technique of the boundary layer approach is commenced with the Blasius flow, but more importantly, the boundary layer solution technique for the Navier-Stokes equations is explained by use of the method of matched asymptotic expansions. Moreover, the global laws of the steady boundary layer theory are explained with the aid of the Holstein-Bohlen procedure. The chapter ends with a brief study of non-stationary boundary layers, in which e.g. an impulsive start from rest, flow in the vicinity of a pulsating body, oscillation induced drift current and non-stationary plate boundary layers are studied.