Stabilized approximation of steady flow of third grade fluid in presence of partial slip

Abstract

This article presents a stable numerical solution to the steady flow of thermodynamic compatible third grade fluid past a porous plate. Problem formulation is completed through partial slip condition. The inability of classical Lagrange-Galerkin methods to provide a stable approximate solution to the envisaged flow problem is demystified. To prevail over the instability issues, a streamline-upwind-Petrov-Gal erkin method is invoked. The results thus substantiate an apposite agreement with theory. The stability of the approximate solution is testified and appropriate conclusions on flow profile are delineated. (C) 2017 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license.