Asymptotic analysis of von Karman flows
Abstract
This paper is concerned with asymptotic expansions of solutions of von Karman's swirling flow problem. These expansions are used to prove the convergence of a class of approximating problems, which are set up by substituting for the infinite interval on which von Karman's problem is posed a finite but large one, and by imposing supplementary boundary conditions at the far end. The asymptotic expansions are crucial for the determination of the order of convergence. Exponential convergence is shown for wellposed approximate problems. The given approach is applicable to general autonomous nonlinear boundary value problems on the infinite intervals. for which the von Karman problem may be considered as a model problem.
 Publication:

SIAM Journal of Applied Mathematics
 Pub Date:
 June 1982
 Bibcode:
 1982SJAM...42..549M
 Keywords:

 Asymptotic Methods;
 Boundary Value Problems;
 Computational Fluid Dynamics;
 Rotating Disks;
 Von Karman Equation;
 Vortices;
 Boundary Conditions;
 Convergence;
 Flow Velocity;
 NavierStokes Equation;
 Rotating Fluids;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer