Rheology of Eyring–Powell hybrid nanofluid flow under the peristaltic effects through an elliptical conduit: Analytical investigation

Abstract

In this study, we have considered the peristaltic flow of Eyring–Powell hybrid nanofluid flow across a conduit having an elliptical cross-section. The polystyrene and graphene oxide nanoparticles are considered. The mathematical model of the problem is solved analytically in the dimensionless form with the application of long wavelength approximation. The perturbation technique is adopted with polynomial solutions to solve it. The analytically acquired results are assessed and discussed comprehensively by graphical examination for various physical parameters. The disorder of the system is also studied by entropy production analysis. The pressure gradient is noted to reduce when the elliptical nature of the conduit’s cross-section reduces towards a circular shape. The percentage (volume fraction) of nanoparticles is found to have a strong impact on temperature distribution among all physical constraints.

Keywords

• Peristalsis
• Hybrid nanofluid
• Eyring–Powell fluid
• Elliptical cross-section
• Analytical solutions