A Class of Exact Solutions of TwoDimensional Viscous Flow
Abstract
A viscous twodimensional flow of shear layers superimposed on a stagnation point flow is investigated. This situation allows an exact solution of unsteady NavierStokes equation of an incompressible fluid in free space for a general initial condition. The solution is exemplified for several sorts of initial condition. One of them represents a flow in a balance between viscous diffusion and convective confinement of vorticity in the final asymptotic state. Another shows a flow field of collision of two shear layers of opposite senses, which is forced to come into contact by the imposed flow, and this collision results in ‘pair annihilation’ of the vortical layers. The decay of the vortex strength of the layer shows a similarlity behaviour for different Reynolds numbers. A comment is given about a possible dissipation mechanism in free flows.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 March 1983
 DOI:
 10.1143/JPSJ.52.834
 Bibcode:
 1983JPSJ...52..834K
 Keywords:

 Incompressible Fluids;
 NavierStokes Equation;
 Shear Layers;
 Stagnation Point;
 Two Dimensional Flow;
 Viscous Flow;
 Boundary Value Problems;
 Computational Fluid Dynamics;
 Convective Flow;
 Diffusion;
 Flow Distribution;
 Free Flow;
 Reynolds Number;
 Stagnation Flow;
 Vorticity;
 Fluid Mechanics and Heat Transfer