Magnetic Field and Endoscope Influences on Peristaltic Transport: An Exact Solution

T. Hayat; S. Abelman; E. Momoniat; F. M. Mahomed

doi:10.3390/mca15040638

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1 December 2010

Magnetic Field and Endoscope Influences on Peristaltic Transport: An Exact Solution

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School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa

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Math. Comput. Appl.2010, 15(4), 638-657;https://doi.org/10.3390/mca15040638

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Abstract

The effect of magnetic field on peristaltic flow through the gap between uniform tubes is studied under the assumption of long wavelength at low Reynolds number. The inner tube is rigid and the outer tube has a sinusoidal wave travelling down its wall. The flow is investigated in a wave frame of reference moving with the velocity of the wave. The analytical solution for velocities and pressure gradient is derived. The effects of magnetic field and an endoscope on the velocities, pressure gradient, pressure rise and frictional forces on the inner and outer tubes are examined.

Keywords:

Peristalsis modelling; velocity profiles; long wavelength; low Reynolds number; endoscope

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