APPLICATION OF SCALING GROUP OF TRANSFORMATIONS TO VISCOELASTIC SECOND-GRADE FLUID FLOW

Abstract

A scaling group of transformations is applied to the steady two-dimensional viscoelastic second grade fluid flow over a stretching sheet. It is shown that the system remain invariant due to some relations among the parameters of the transformations. Two absolute invariants are then found out and utilized to derive a fourth-order standard differential equation corresponding to the momentum equation. This fourth-order differential equation admits an exact solution to the problem.