Nonlinear problem of the steady motion of a viscous fluid in a planar diffuser
Abstract
A study of the nonlinear problem of the steadystate flow of a viscous, incompressible fluid in a planar diffuser with an initial nonzero cross section. It is proved that a unique solution to the problem exists. In the limit where the aperture angle goes to zero, the solution becomes a Poiseuille flow in a planar tube.
 Publication:

Akademiia Nauk Azerbaidzhanskoi SSR Doklady
 Pub Date:
 1974
 Bibcode:
 1974DoAze..30R..12A
 Keywords:

 Diffusers;
 Incompressible Fluids;
 Nonlinear Equations;
 Steady Flow;
 Two Dimensional Flow;
 Viscous Fluids;
 Existence Theorems;
 Flow Equations;
 Partial Differential Equations;
 Pipe Flow;
 Uniqueness Theorem;
 Fluid Mechanics and Heat Transfer