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Hydro-magnetic Flow Effects in Uniform Tube Through Peristaltic Motion for Generalized Newtonian Fluid on Trapping

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The peristaltic motion for Carreau fluid by means of an infinite train of sinusoidal waves traveling along the walls of a circular cylindrical flexible tube is investigated. The fluid is subjected to a constant transverse magnetic field. A perturbation solution is obtained for the case in which Weissenberg number is small. The effects of Hartmann number, Weissenberg number, power-law index and amplitude ratio on the pressure rise and the friction force are discussed. The trapping limit and the trapping occurrence region at the centerline decrease by increasing Hartmann number but they are independent approximately of Weissenberg number and power-law index.

Affiliations: 1: Department of Mathematics, Faculty of Science, Mansoura University, P.O. 34415, New Damietta, Egypt

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