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An analysis of the swimming problem of a singly flagellated micro-organism in an MHD fluid |
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| Authors: | A. R. Ansari A. M. Siddiqui T. Hayat |
| Affiliation: | (1) Department of Mathematics and Physical Sciences, Gulf University for Science and Technology, P.O. Box 7207, Hawally, 32093, Kuwait;(2) Department of Mathematics, York Campus, Pennsylvania State University, Philadelphia, PA, U.S.A.;(3) Department of Mathematics, Quaid-e-Azam University, Islamabad, Pakistan |
| Abstract: | The present work is concerned with the study of the swimming of flagellated microscopic organisms, which employ a single flagellum for propulsion in a magnetohydrodynamic (MHD) fluid. The flow is modeled by appropriate equations and the organism is modeled by an infinite flexible but inextensible transversely waving sheet, which represents approximately the flagellum. The governing equations subject to appropriate boundary conditions are solved analytically. Expressions for the velocity of propulsion of the microscopic organism are obtained. |
| Keywords: | Swimming problem Single flagellum MHD flow Analytic solution Propulsion velocity |
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