Investigation of Prandtl-Eyring fluid flow under the influence of peristalsis through an inclined elliptic channel

Abstract

This work considers the peristaltic flow of non-Newtonian Prandtl-Eyring fluid via a duct having an elliptical cross-section. The elliptic conduit is taken inclined with horizontal. The mathematical model of the problem is converted into non-dimensional form using dimensionless variables with the assumptions of long wavelength approach. The perturbation approach and polynomial solutions are incorporated to solve the mathematical model analytically. The analytically achieved results are analyzed and presented using graphical representation of several physical parameters. The impact of different physical parameters on velocity, temperature, pressure gradient, and pressure rise is studied graphically. The Grashof number is found to have a significant impact on the pressure gradient and velocity profile. The flow characteristics (velocity and pressure gradient) are observed to be more prominent for the vertical channel than the horizontal and inclined conduit. The velocity profile showed a parabolic nature and achieved high values at the center of the conduit and progressively lowered near the wall of the conduit.