Study of peristaltic flow of magnetohydrodynamics Walter's B fluid with slip and heat transfer

Authors

1 Department of Mathematics & Statistics, FBAS, IIUI, H-10, Islamabad, Pakistan

2 Department of Mechanical Engineering, University of California Riverside, USA

3 Department of Mathematics Faculty of Science Taibah University, Madinah Munawwarah Saudi Arabia

Abstract

The purpose of this paper is to investigate the effects of magnetohydrodynamics peristaltic flow of Walter's B fluid in an inclined asymmetric channel under the influence of slip conditions. The effects of heat and mass transfer are also taken into account. Analytical solutions of nonlinear coupled equations are obtained by regular perturbation method. Graphs for different flow parameters of interest are sketched and analyzed. It is observed that the absolute value of shear stress and heat transfer coefficient decreases by increasing the magnetic parameter whereas with the increase of magnetic parameter, the concentration decreases. Opposite behavior has been noted for temperature and heat transfer coefficient at upper and lower walls against the various values of Prandtl number, Eckert number, slip parameter and material constant of Walter's B fluid. Oscillatory behavior of heat transfer coefficient is observed which is due to propagation of peristaltic waves along the walls of the channel.

Keywords

Scientia Iranica
Volume 23, Issue 6 - Serial Number 6
Transactions on Mechanical Engineering (B)
December 2016
Pages 2650-2662

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