Mathematical model for the peristaltic flow of Jeffrey fluid with nanoparticles phenomenon through a rectangular duct

Abstract

The study of nanoparticles concentration for the Jeffrey fluid model is considered with the process of peristaltic waves in a three-dimensional rectangular channel. The main theme of the present study is to study the effect of lateral walls on nanoparticle phenomenon in peristalsis with non-Newtonian fluid model in a duct of rectangular cross-section. The flow is considered in a wave frame under the assumptions of long wavelength and low Reynolds number. The resulting three-dimensional nonlinear and coupled partial differential equations are then solved using homotopy perturbation technique. The physical features of lateral walls, mean volume flow rate, Jeffrey fluid parameter, the Brownian motion parameter, the thermophoresis parameter, local temperature Grashof number and local nanoparticle Grashof number are discussed simultaneously through presenting graphical discussion. Three-dimensional phenomenon is also investigated through graphs to see the variation of velocity profile with space coordinates. Trapping scheme is also manipulated with the help of streamlines for various pertinent parameters.