The existence and uniqueness of selfsimilar solutions describing flow in mixing layers
Abstract
A solution to the stream function equation for a mixing layer is usually sought within a class of selfsimilar functions. This is explained by the fact that flow in boundary layers is largely determined by the boundary conditions, while being only slightly dependent on the initial conditions. The selfsimilar functions satisfy a thirdorder nonlinear equation with three boundary conditions. It is proved that for all boundary value problems, there exists a solution to the above equation.
 Publication:

Akademiia Nauk SSSR Doklady
 Pub Date:
 1984
 Bibcode:
 1984DoSSR.275.1341D
 Keywords:

 Existence Theorems;
 Mixing Layers (Fluids);
 Separated Flow;
 Similarity Theorem;
 Stream Functions (Fluids);
 Uniqueness Theorem;
 Boundary Conditions;
 Boundary Value Problems;
 Computational Fluid Dynamics;
 Integral Equations;
 Mixing;
 Nonlinear Equations;
 Supersonic Flow;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer