Eur. Phys. J. Plus (2019) 134: 231
https://doi.org/10.1140/epjp/i2019-12536-y

Regular Article

Effect of variable liquid properties on peristaltic flow of a Rabinowitsch fluid in an inclined convective porous channel

¹ Department of Mathematics, SSA Government First Grade College (Autonomous), 583101, Ballari, Karnataka, India
² Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, 576104, Manipal, Karnataka, India
³ Department of Mathematics, Vijayanagara Srikrishnadevaraya University, 583105, Ballari, Karnataka, India

^* e-mail: gudekote_m@rediffmail.com

Received: 16 November 2018
Accepted: 24 January 2019
Published online: 27 May 2019

Abstract

The peristaltic mechanism of a Rabinowitsch liquid in an inclined porous channel is reported in the presence of variable liquid properties. The convective conditions at the boundary walls are considered. The governing nonlinear equations are rendered dimensionless and solved with the help of the perturbation technique. The analytical solutions for velocity, temperature and streamlines are obtained and analysed graphically. Also, the pumping characteristics are discussed, and MATLAB programming has been used to tabulate the pumping efficiency. Further, the impact of relevant parameters of interest on physiological quantities are analysed for dilatant, Newtonian and pseudoplastic fluid models. The obtained results show the presence of variable liquid properties and convective conditions have a significant role in understanding the rheological properties of shear thinning, viscous and shear thickening fluid models. The investigation further reveals that an increase in the value of porous parameters diminishes the occurrence of the trapping phenomenon for Newtonian and dilatant fluid models. On the other hand, opposite behaviour is noticed for pseudoplastic fluids.