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Bionic Study of Variable Viscosity on MHD Peristaltic Flow of Pseudoplastic Fluid in an Asymmetric Channel
Journal of Magnetics, Volume 21, Number 2, 30 Jun 2016, Pages 273-280
Ambreen A. Khan (Department of Mathematics & Statistics, FBAS, IIUI), Saima Muhammad (Department of Mathematics & Statistics, FBAS, IIUI), R. Ellahi * (Department of Mathematics & Statistics, FBAS, IIUI), Q. M. Zaigham Zia (Department of Mathematics, COMSATS Institute of Information Technology Chak Shazad Islamabad)
Abstract

In this paper, the peristaltic flow of Psedoplastic fluid with variable viscosity in an asymmetric channel is
examined. The bionic effects by means of magnetohydrodynamics (MHD) are taken into account. The
assumptions of long wave length and low Reynolds number are taken into account. The basic equations
governing the flow are first reduced to a set of ordinary differential equation by using appropriate
transformation for variables and then solve by using perturbation method. The effect of physical parameters on the pressure rise, velocity and pressure gradient are illustrated graphically. The trapping phenomenon is analyzed through stream lines. A suitable comparison has also been made as a limiting case of the considered problem.


 

Keywords: Peristaltic flow; Pseudoplastic fluid; variable viscosity; MHD; asymmetric channel; analytical solutions
DOI: http://dx.doi.org/10.4283/JMAG.2016.21.2.273
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