Asymptotic behavior and existence of similarity solutions for a boundary layer flow problem

Abstract EN

The problem of boundary layer flow of a non-Newtonian power-law fluid (which is assumed to be incompressible) is considered.

Existence and uniqueness of similarity solutions are considered for all values of the power-law index n>0.

Conditions are determined (values of n and various parameters within the problem) where existence and uniqueness of solutions hold and where they do not hold.

Exact solutions in some cases are exhibited.

The asymptotic behavior of solutions is also determined for all values of n>0 of the non-Newtonian fluid.