Effects of an induced magnetic field on the peristaltic flow of a third‐order fluid |
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Authors: | T Hayat Yasir Khan Kh S Mekheimer Nasir Ali |
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Institution: | 1. Department of Mathematics, Quaid‐i‐Azam University, Islamabad 44000, Pakistan;2. Department of Mathematics, Faculty of Science, Al‐Azhar University, Nasr City, Cairo, 11884 Egypt;3. Faculty of Basic and Applied Sciences, International Islamic University, Islamabad 44000, Pakistan |
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Abstract: | In this article, we carry out the effect of an induced magnetic field on the peristaltic transport of an incompressible conducting third order fluid in a symmetric channel. The flow analysis has been developed for low Reynolds number and long wave length approximation. Analytical solutions have been established for the axial velocity, stream function, magnetic force function, and axial‐induced magnetic field. The effects of pertinent parameters on the pressure rise per wavelength are investigated by using numerical integration. Besides this, we study the effect of these parameters on the pressure gradient and axial induced magnetic field. The phenomena of trapping and pumping are also discussed. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010 |
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Keywords: | induced magnetic field peristalsis third order fluid |
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