Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Low-Reynolds-number swimming in viscous two-phase fluids

Jian Du1, James P. Keener1,2, Robert D. Guy3, and Aaron L. Fogelson1,2

  • 1Department of Mathematics, University of Utah, Salt Lake City, Utah 84112, USA
  • 2Department of Bioengineering, University of Utah, Salt Lake City, Utah 84112, USA
  • 3Department of Mathematics, University of California Davis, Davis, California 95616, USA

Phys. Rev. E 85, 036304 – Published 15 March, 2012

DOI: https://doi.org/10.1103/PhysRevE.85.036304

Abstract

The fluid media surrounding many microorganisms are often mixtures of multiple materials with very different physical properties. The composition and rheology of the mixture may strongly affect the related locomotive behaviors. We study the classical Taylor's swimming sheet problem within a two-fluid model, which consists of two intermixed viscous fluids with different viscosities, with both numerical experiments and analysis. Our results indicate that both the swimming speed and efficiency may be decreased substantially relative to those for a single-phase fluid.

Article Text

References (18)

  1. H. Berg, E. Coli in Motion (Springer, New York, 2004).
  2. L. Fauci and R. Dillon, Annu. Rev. Fluid Mech. 38, 371 (2006).
  3. E. Lauga and T. Powers, Rep. Prog. Phys. 72, 096601 (2009).
  4. T. Normand and E. Lauga, Phys. Rev. E 78, 061907 (2008).
  5. E. Lauga, Phys. Fluids 19, 083104 (2007).
  6. H. C. Fu, T. R. Powers, and C. W. Wolgemuth, Phys. Rev. Lett. 99, 258101 (2007).
  7. E. Lauga, Europhys. Lett. 86, 64001 (2009).
  8. A. M. Leshansky, Phys. Rev. E 80, 051911 (2009).
  9. J. Teran, L. Fauci, and M. Shelley, Phys. Rev. Lett. 104, 038101 (2010).
  10. H. Fu, V. Shenoy, and T. Powers, Europhys. Lett. 91, 24002 (2010).
  11. H. Wada, e-print arXiv:1004.1254v1 (2010).
  12. M. Doi, J. Phys. Soc. Jpn. 78, 052001 (2009).
  13. N. Cogan and R. Guy, HFSP J 4, 11 (2010).
  14. C. Peskin, Acta Numer. 11, 479 (2002).
  15. G. I. Taylor, Proc. R. Soc. A 209, 447 (1951).
  16. A. J. Reynolds, J. Fluid Mech. 23, 241 (1965).
  17. G. Wright, R. Guy, and A. Fogelson, SIAM J. Sci. Comput. 30, 2535 (2008).
  18. P. Colella, J. Comput. Phys. 87, 171 (1990).

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation