Invariant Solution of Viscoelastic Fluid flow in Channels without Porous Media Attached with Constitutive Model of Oldroyd–B Resolved By Symmetry Method

Abstract

This paper concerned with Viscoelastic fluid Flow in Channels without Porous media.. The related problem is equipped by using the model of Darcy-Brinkman and Constitutive model of Oldroyd–B . The research is arranged through analytical solutions of the governing system of equations, occurring in the investigation of viscoelastic flow in channels. The invariant solution is recognized by Lie group method. For finding exact invariant solutions, the PDEs is transferred in to ODEs corresponding to the symmetry group