Eur. Phys. J. Plus (2016) 131: 332
https://doi.org/10.1140/epjp/i2016-16332-y

Regular Article

Thermally developing MHD peristaltic transport of nanofluids with velocity and thermal slip effects

¹ DBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistan
² Mathematics & Statistics Department, Riphah International University I-14, Islamabad, Pakistan
³ Department of Mechanical Engineering, Manipal University Jaipur, 303007, Rajasthan, India

^* e-mail: abhripha@gmail.com

Received: 27 July 2016
Accepted: 18 August 2016
Published online: 22 September 2016

Abstract

We investigate the velocity slip and thermal slip effects on peristaltically driven thermal transport of nanofluids through the vertical parallel plates under the influence of transverse magnetic field. The wall surface is propagating with sinusoidal wave velocity c. The flow characteristics are governed by the mass, momentum and energy conservation principle. Low Reynolds number and large wavelength approximations are taken into consideration to simplify the non-linear terms. Analytical solutions for axial velocity, temperature field, pressure gradient and stream function are obtained under certain physical boundary conditions. Two types of nanoparticles, SiO₂ and Ag, are considered for analysis with water as base fluid. This is the first article in the literature that discusses the SiO₂ and Ag nanoparticles for a peristaltic flow with variable viscosity. The effects of physical parameters on velocity, temperature, pressure and trapping are discussed. A comparative study of SiO₂ nanofluid, Ag nanofluid and pure water is also presented. This model is applicable in biomedical engineering to make thermal peristaltic pumps and other pumping devices like syringe pumps, etc. It is observed that pressure for pure water is maximum and pressure for Ag nanofluid is minimum.