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INFLUENCE OF AN INDUCED MAGNETIC FIELD ON PERISTALTIC TRANSPORT IN AN ASYMMETRIC CHANNEL
Authors:T Hayat  S Noreen  S Asghar  Awatifa Hendi
Affiliation:1. Department of Mathematics , Quaid-I-Azam University , Islamabad, Pakistan;2. Department of Physics, Faculty of Science , King Saud University , Riyadh, Saudi Arabia pensy_t@yahoo.com;4. Department of Mathematics , Quaid-I-Azam University , Islamabad, Pakistan;5. Department of Mathematical Sciences , CIIT , Islamabad, Pakistan;6. Department of Physics, Faculty of Science , King Saud University , Riyadh, Saudi Arabia
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.
Keywords:Asymmetric channel  Induced magnetic field  PTT fluid
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