Abstract
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.
Original language | English (US) |
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Pages (from-to) | 551-556 |
Number of pages | 6 |
Journal | Journal of Porous Media |
Volume | 8 |
Issue number | 6 |
DOIs | |
State | Published - 2005 |
All Science Journal Classification (ASJC) codes
- Modeling and Simulation
- Biomedical Engineering
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering