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Journal of Porous Media
Fator do impacto: 1.49 FI de cinco anos: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimir: 1091-028X
ISSN On-line: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v8.i6.10
pages 551-556

A Note on the Swimming Problem of a Singly Flagellated Microorganism in a Fluid Flowing through a Porous Medium

Abdul Majeed Siddiqui
Department of Mathematics, Pennsylvania State University, York Campus, 1031 Edgecomb Avenue, York, PA 17403, USA
A. R. Ansari
Department of Mathematics & Statistics, College of Informatics & Electronics, University of Limerick, Limerick, Ireland


The swimming of microscopic organisms employing a single flagellum for propulsion in a fluid flowing through a porous medium is investigated. In a previous study, a simple model of the flow that ignored the inertial terms was adopted. Here, we use a model taking full account of the inertial effects. The flagellum is modeled by an infinite flexible but inextensible transversely waving sheet. Expressions for the velocity of propulsion of the microscopic organism are obtained. We also consider cases involving the viscosity in combination with the effective viscosity of the medium. Finally, we show that as the permeability becomes large, the results reduce to the swimming of such organisms in a viscous fluid (discounting the pores).