On Wilhelm's selfsimilar solutions of the NavierStokes equations
Abstract
The similarity equations discovered by Wilhelm (1973) for the flow of a compressible fluid between divergent plane walls are studied when the Prandtl number is large. The solution is completely determined by m, the exponent of the radial dependence of the velocity, the semiwedge angle, and the intrinsic properties of the fluid. The Reynolds and Mach numbers are not assignable parameters. The discussion is confined to m between zero and one as outside this range there is doubt about the physical significance of the transformation.
 Publication:

Journal of Mathematical and Physical Sciences
 Pub Date:
 June 1976
 Bibcode:
 1976JMPS...10..197B
 Keywords:

 Boundary Layer Equations;
 Compressible Flow;
 NavierStokes Equation;
 Wall Flow;
 Boundary Layer Flow;
 Mach Number;
 Radial Velocity;
 Reynolds Number;
 Roots Of Equations;
 Fluid Mechanics and Heat Transfer