A semi analytic method for viscous flows in the vicinity of singular corners
Abstract
Many problems of physical interest involve flows of viscous fluids in regions that contain one or more sharp corners. A typical example is the flow in a prototype cavity where the driving wall meets the cavity at two corners which are singular points of the flow. In this paper, a semianalytic technique is introduced to solve the twodimensional NavierStokes equation in small neighborhoods of the singular corners. The solutions are expressed as an asymptotic expansion in terms of the Reynolds Number R, the radial distance from the singular corner r and the angle of deviation O. The coefficients of the power series are obtained by numerical integration. Comparison with existing numerical solutions is also carried out.
 Publication:

Numerical Methods in Laminar and Turbulent Flow
 Pub Date:
 1981
 Bibcode:
 1981nmlt.proc.1119G
 Keywords:

 Computational Fluid Dynamics;
 Corner Flow;
 Flow Theory;
 NavierStokes Equation;
 Stokes Flow;
 Viscous Flow;
 Asymptotic Methods;
 Cavities;
 Singularity (Mathematics);
 Two Dimensional Flow;
 Vorticity Equations;
 Wall Flow;
 Fluid Mechanics and Heat Transfer