Eur. Phys. J. Plus (2017) 132: 217
https://doi.org/10.1140/epjp/i2017-11486-8

Regular Article

Outcome of slip features on the peristaltic flow of a Prandtl nanofluid with inclined magnetic field and chemical reaction

¹ Department of Mathematics, Quaid-I-Azam University 45320, 44000, Islamabad, Pakistan
² Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, 21589, Jeddah, Saudi Arabia

^* e-mail: qau14@yahoo.com

Received: 28 February 2017
Accepted: 4 April 2017
Published online: 17 May 2017

Abstract

This analysis looks at the influence of an inclined magnetic field on the peristaltic motion of a Prandtl nanofluid in an asymmetric channel. The mathematical model is developed through consideration of Joule heating, viscous dissipation and chemical reaction effects. Furthermore, the nanofluid with Brownian motion and thermophoresis effects is studied. The channel walls exhibit the slip conditions for velocity, temperature and nanoparticle volume fraction. Numerical solutions of the problem are developed through the assumptions of long wavelength and low Reynolds number. Graphs are plotted for velocity, temperature, nanoparticle volume fraction and heat transfer rate. The physical interpretation for several parameters of interest is presented in detail. The slip effect reduces the velocity and nanoparticle volume fraction while it enhances the fluid temperature. The opposite effect on fluid velocity and temperature is seen with the inclination of magnetic field.