UNSTEADY VISCOUS-FLOW IN 3 DIMENSIONS AND AROUND PLANE SURFACES

Exact solutions are obtained for certain problems of the unsteady flow of an incompressible viscous fluid in the case of velocity distributi ons for which the Navier-Stokes equations become linear. Unlike previo us solutions of these problems, more general boundary conditions and f low non-uniformity are taken into account. The smoothing of a velocity discontinuity and vorticity propagation in three dimensions is consid ered as well as fluid how over an infinite plate, in an infinite two-s ided corner and between parallel plates. (C) 1998 Elsevier Science Ltd . All rights reserved.