Peristaltic propulsion of Jeffrey nano-liquid and heat transfer through a symmetrical duct with moving walls in a porous medium

In this article, a computational study has been performed on the peristaltic propulsion of nanofluid flow through a porous rectangular duct. A non-Newtonian fluid model, i.e. Jeffrey model is considered to examine the behavior of nanoparticles. A Cartesian coordinate system is adopted for the three-dimensional duct. Furthermore, the three-dimensional rectangular duct contains porous wavy walls. An approximation of long wavelength and small Reynolds number have been applied to formulate the governing equations of momentum, energy, continuity, and concentration equation. These resulting coupled partial differential equations are further solved using Homotopy perturbation method and Genetic algorithm with a combination of Nelder Mead method. The purpose of the Genetic algorithm and Nelder Mead method is to reduce the residual error. For this purpose, numerical comparison of residual error is presented with a Homotopy perturbation method. (C) 2019 Elsevier B.V. All rights reserved.