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Bionic Study of Variable Viscosity on MHD Peristaltic Flow of Pseudoplastic Fluid in an Asymmetric Channel

  • Khan, Ambreen A. (Department of Mathematics & Statistics, FBAS, IIUI) ;
  • Muhammad, Saima (Department of Mathematics & Statistics, FBAS, IIUI) ;
  • Ellahi, R. (Department of Mathematics & Statistics, FBAS, IIUI) ;
  • Zia, Q.M. Zaigham (Department of Mathematics, COMSATS Institute of Information Technology Chak Shazad Islamabad)
  • Received : 2016.02.07
  • Accepted : 2016.05.09
  • Published : 2016.06.30

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

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