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-Galerkin 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.