Viscoelastic Fluid Flow Relevance’s in a Pipe without Porous space using with Oldroyd–B Constitutive Model: Analysis of Statics

Abstract

In this research, necessary plan is to find the symmetries using Lei- group technique of viscoelastic fluid flows without porous media by means of Oldroyd–B Constitutive Model related with viscoelastic stresses. The solution of this problem is obtained by means of the one-parameter transformation group theoretic approach which reduces the number of independent variables by one and the governing PDE system with the boundary conditions reduce to ODE system with the appropriate boundary conditions equivalent to the transformation group, so that exact invariant solutions can be obtained. Numerical results of the given system are achieved by using Mathematica solver ND–Solve on computer