Series Solution For APeristaltic Flow Of a Magneto-fluid Through ATaperEccentric Cylinders

Document Type : Original Article

Authors

1 Dept of Mathematics and statistics, Faculty of Science, Taif University, Hawia 888, Taif, Saudi Arabia & Dept of Mathematics,Faculty of Science, Al-Azhar University, Nasr City, Cairo, EGYPT.

2 Dept of Mathematics, Faculty of Science, Taif University, Hawia 888, Taif, Saudi Arabia.

Abstract

Abstract:
The magneto-hydrodynamic peristaltic flow of an incompressible Newtonian fluid was investigated between two eccentric tubes. The problem is measured in cylindrical coordinates. Geometrically, we considered two eccentric tubes in which the inner tube is rigid while the outer tube is tapered and have a sinusoidal wave generated on its walls. The governing equations are observed nonlinear second order partial differential equations. Under the conditions of long wavelength approximation the problem has been solved with the help of the homotopy perturbation method (HPM). The obtained results are then plotted to see the influence of the different physical parameters on the velocity profile, pressure gradient , pressure rise and frictionless force expressions. The velocity profile is drawn in the two and three dimensions. The trapping bolus phenomena is also discussed through the contour plot of the streamlines.

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