On the exterior threedimensional slow viscous flow problem
Abstract
Some recent results concerning the validity of the method of matched asymptotic expansions for treating the stationary flow of an incompressible viscous fluid past an isolated rigid body in threedimensional space and in two dimensions are summarized. The flow is formulated as an exterior boundary value problem for the velocity and pressure satisfying the NavierStokes equations in dimensionless form. The total force exerted on the obstacle by the fluid is analyzed. A perturbation procedure is applied to the problem to obtain a sequence of boundary value problems for the velocity and pressure by equating like powers of Reynolds number. A linearization for the flow about infinity is also summarized, and theorems are given and discussed.
 Publication:

Zeitschrift Angewandte Mathematik und Mechanik
 Pub Date:
 1984
 Bibcode:
 1984ZaMM...64..276F
 Keywords:

 Computational Fluid Dynamics;
 Three Dimensional Flow;
 Viscous Flow;
 Asymptotic Methods;
 Boundary Value Problems;
 Differential Equations;
 Incompressible Fluids;
 NavierStokes Equation;
 Oseen Approximation;
 Rigid Structures;
 Stokes Flow;
 Fluid Mechanics and Heat Transfer