II. Analysis of regular and singular motions

Abstract

An eigenmotion analysis of viscous fluid flows around dihedral angles presented in part I of this paper revealed the simultaneous existence of regular and weakly singular motions which are characterized by finite and infinite pressures at the edge of a wedge. Since the derivation of the Navier-Stokes equations is based on the finiteness of the velocity and pressure, the physical meaning of an infinite pressure in the region of operation requires an additional explanation. The present investigations analyse the flow properties of regular and weakly singular motions past a semi-infinite flat plate under symmetric and asymmetric attack. Particular attention is directed to the attached and separated flow patterns which can develop around a sharp edge. The duality of regular and weakly singular motions is shown to exist for most of the typical flow patterns which can be observed in published photographs. The qualitative agreement with photographs is especially satisfactory for regular motions. A brief summary of the essential flow properties of both types is given.