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

卷 8, 册 6, 2005, pp. 551-556
DOI: 10.1615/JPorMedia.v8.i6.10
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摘要

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).

对本文的引用
  1. Lauga Eric, Propulsion in a viscoelastic fluid, Physics of Fluids, 19, 8, 2007. Crossref

  2. Ansari A. R., Siddiqui A. M., Hayat T., An analysis of the swimming problem of a singly flagellated micro-organism in an MHD fluid, Nonlinear Dynamics, 51, 3, 2008. Crossref

  3. Ansari A.R., Siddiqui A.M., Hayat T., An analysis of the swimming problem of a singly flagellated micro-organism in an MHD fluid flowing through a porous medium, Nonlinear Analysis: Real World Applications, 11, 1, 2010. Crossref

  4. Nguyen Hoang-Ngan, Olson Sarah, Leiderman Karin, A fast method to compute triply-periodic Brinkman flows, Computers & Fluids, 133, 2016. Crossref

  5. SAJID M., ALI N., BÉG O. ANWAR, SIDDIQUI A. M., SWIMMING OF A SINGLY FLAGELLATED MICROORGANISM IN A MAGNETOHYDRODYNAMIC SECOND-ORDER FLUID, Journal of Mechanics in Medicine and Biology, 17, 01, 2017. Crossref

  6. Siddiqui A.M., Manzoor N., Maqbool K., Mann A.B., Shaheen S., Magnetohydrodynamic flow induced by ciliary movement: An application to lower respiratory track diseases, Journal of Magnetism and Magnetic Materials, 480, 2019. Crossref

  7. Prakash J., Tripathi Dharmendra, Triwari A. K., Sait Sadiq M., Ellahi Rahmat, Peristaltic Pumping of Nanofluids through a Tapered Channel in a Porous Environment: Applications in Blood Flow, Symmetry, 11, 7, 2019. Crossref

  8. Walait Ahsan, Siddiqui A. M., Rana M. A., Mathematical assessment of the spermatozoa transport through couple stress fluid in an asymmetric human cervical canal, Theory in Biosciences, 139, 3, 2020. Crossref

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