Optimal Auxiliary Functions Method for viscous flow due to a stretching surface with partial slip

Abstract

The viscous flow induced by a stretching surface with partial slip is investigated. The flow is governed by a third-order nonlinear differential equation, corresponding to the planar and axisymmetric stretching. The derived equation of motion is solved analytically by Optimal Auxiliary Functions Method (OAFM). This procedure is highly efficient and it controls the convergence of the approximate solution. A few examples are given, showing the exceptionally good agreement between the analytical and numerical solutions of the nonlinear problem. OAFM is very efficient in practice, ensuring a very rapid convergence after only one iteration.

Keywords

• optimal auxiliary functions method
• viscous flow
• partial slip
• stretching surface
• 02.60.-x
• 47.11.-j
• 47.50.-d