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

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.

[1]  Grady B. Wright,et al.  An Efficient and Robust Method for Simulating Two-Phase Gel Dynamics , 2008, SIAM J. Sci. Comput..

[2]  E. Lauga,et al.  Life at high Deborah number , 2008, 0904.4494.

[3]  A. J. Reynolds.  The swimming of minute organisms , 1965, Journal of Fluid Mechanics.

[4]  C. Peskin.  The immersed boundary method , 2002, Acta Numerica.

[5]  A. Leshansky,et al.  Enhanced low-Reynolds-number propulsion in heterogeneous viscous environments. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Henry C. Fu,et al.  Low-Reynolds-number swimming in gels , 2010, 1004.1339.

[7]  Eric Lauga,et al.  Propulsion in a viscoelastic fluid , 2007 .

[8]  G. Taylor.  Analysis of the swimming of microscopic organisms , 1951, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[9]  T. Powers,et al.  The hydrodynamics of swimming microorganisms , 2008, 0812.2887.

[10]  Joseph Teran,et al.  Viscoelastic fluid response can increase the speed and efficiency of a free swimmer. , 2010, Physical review letters.

[11]  N G Cogan,et al.  Multiphase flow models of biogels from crawling cells to bacterial biofilms , 2010, HFSP journal.

[12]  Thomas R Powers,et al.  Theory of swimming filaments in viscoelastic media. , 2007, Physical review letters.

[13]  L. Fauci,et al.  Biofluidmechanics of Reproduction , 2006 .

[14]  E. Lauga,et al.  Flapping motion and force generation in a viscoelastic fluid. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  P. Colella.  Multidimensional upwind methods for hyperbolic conservation laws , 1990 .