MHD Peristaltic Flow of Dusty Fluid through Flexible Channel under Slip Condition

Document Type : Original Article

Authors

1 Basic Engineering Sciences Department, Faculty of Engineering, Shebin El-Kom, Menoufiya University, Egypt.

2 Mechanical Power Engineering Department, Faculty of Engineering, Shebin El-Kom, Menoufiya University, Egypt.

Abstract

Abstract
The effects of slip condition and particles concentration are investigated on the
peristaltic flow of a Newtonian suspended fluid flows through a channel under different
parameters. The walls of the channel are assumed flexible with an external uniform magnetic
field applied perpendicular to the walls. The equations of motion are solved analytically using
the perturbation method to yield the pressure, streamlines and the velocity distributions for
both fluid and dusty particles. The governing equations of the flow through magnetic field are
solved under the effect of concentration, wave number, amplitude ratio, Reynolds number and
slip condition. The resulting relations for velocity and pressure gradient are plotted for various
pertinent parameters. It was observed that in the case of positive pressure gradient, the reversal
flow intensity increases with increasing the particle concentration, while it decreases with
increasing the magnetic field. Furthermore, thereversal intensity increases with positive
pressure gradient. For negative pressure gradient, the intensity increases with increasing the
magnetic field. On the other hand, the critical reflux pressure gradient decreases with the
presence of suspension and magnetic field, while the critical reflux pressure increases with slip
condition. The streamlines are also computed and drawn for some physical quantities to
discuss the trapping phenomenon.

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