Exact Solutions of Boundary Layer Equations in Polymer Solutions

Abstract

The paper presents new exact solutions of equations derived earlier. Three of them describe unsteady motions of a polymer solution near the stagnation point. A class of partially invariant solutions with a wide functional arbitrariness is found. An invariant solution of the stationary problem in which the solid boundary is a logarithmic curve is constructed.

Keywords

• boundary layer
• aqueous solution of a polymer
• lie group of transformations
• invariant solution