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Original Articles

INFLUENCE OF AN INDUCED MAGNETIC FIELD ON PERISTALTIC TRANSPORT IN AN ASYMMETRIC CHANNEL

, , &
Pages 609-628 | Published online: 03 Jan 2011
 

Abstract

In this study, we investigate the effects of an induced magnetic field on the peristaltic transport of a Phan-Thien-Tanner (PTT) fluid in an asymmetric channel. Asymmetry in the flow is induced because of wave trains with different amplitudes and phases. Development of mathematical analysis is made under long wavelength and low Reynolds number approximations. Explicit expressions of stream function, pressure gradient, magnetic force function, axial induced magnetic field, and current density are derived. Computation of pressure rise is based upon numerical integration. The obtained expressions are carefully analyzed through physical interpretation.

Acknowledgments

The authors are thankful for the financial support of Higher Education Commission (HEC) of Pakistan. The first author as a Visiting Professor also thanks the King Saud University for the support via KSU-VPP-103.

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