Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
Journal of Porous Media
IF: 1.49 5-Year IF: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Print: 1091-028X
ISSN Online: 1934-0508

Volumes:
Volume 22, 2019 Volume 21, 2018 Volume 20, 2017 Volume 19, 2016 Volume 18, 2015 Volume 17, 2014 Volume 16, 2013 Volume 15, 2012 Volume 14, 2011 Volume 13, 2010 Volume 12, 2009 Volume 11, 2008 Volume 10, 2007 Volume 9, 2006 Volume 8, 2005 Volume 7, 2004 Volume 6, 2003 Volume 5, 2002 Volume 4, 2001 Volume 3, 2000 Volume 2, 1999 Volume 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v6.i4.20
8 pages

An Analysis of 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

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 fluid flowing through a porous medium. 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 equations of motion are solved subject to the boundary conditions, and expressions for the velocity of propulsion of the microscopic organism are obtained. Certain allied cases involving the viscosity in combination with the effective viscosity of the medium are also investigated. A creeping flow model is also analyzed. Finally, purely from a mathematical standpoint, all cases with large permeability are shown to follow the results of swimming of such organisms in a viscous fluid (discounting the pores).


Articles with similar content:

A Note on the Swimming Problem of a Singly Flagellated Microorganism in a Fluid Flowing through a Porous Medium
Journal of Porous Media, Vol.8, 2005, issue 6
A. R. Ansari, Abdul Majeed Siddiqui
MICROPOLAR FLUID FLOW THROUGH A CYLINDER AND A SPHERE EMBEDDED IN A POROUS MEDIUM
International Journal of Fluid Mechanics Research, Vol.44, 2017, issue 3
Madasu Krishna Prasad, D. Srinivasacharya
Micromorphic Fluid in an Elastic Porous Body: Blood Flow in Tissues with Microcirculation
International Journal for Multiscale Computational Engineering, Vol.3, 2005, issue 1
Natalie K. Axtell, Moongyu Park, John H. Cushman
AVERAGING THE NONSTATIONARY EQUATIONS OF VISCOUS SUBSTANCE FILTRATION THROUGH A RIGID POROUS MEDIUM
Composites: Mechanics, Computations, Applications: An International Journal, Vol.5, 2014, issue 1
A. N. Vlasov, Alexey Talonov, Dmitriy B. Volkov-Bogorodsky, Viktoria L. Savatorova
Implications of Alternative Macroscopic Descriptions Illustrated by General Balance and Continuity Equations
Journal of Porous Media, Vol.5, 2002, issue 4
Faruk Civan