Homotopy perturbation solution for peristaltic flow of a third order fluid

Abstract

The peristaltic transport of a third order fluid in a planar channel as well as in an axisymmetric tube having walls that are transversely displaced by an infinite, harmonic travelling wave of large wavelength and negligibly small Reynolds number, has been analyzed using homotopy perturbation technique. Unlike perturbation method, this method does not restrict the Deborah number $\Gamma $ to be very large or small and works fairly well for any choice of $\Gamma $. The expressions for stream function and pressure rise per wavelength have been obtained up to second order of approximation.