Dispersion of biased swimming microorganisms in a fluid flowing through a tube

Details Dispersion of biased swimming microorganisms in a fluid flowing through a tube Dispersion of biased swimming microorganisms in a fluid flowing through a tube

2010-01-20

arxiv.org/abs/1001.3635v2

Proc. R. Soc. A 2010 vol. 466 pp. 2057-2077

Physics

Condensed Matter

Soft Condensed Matter

20 pages, 4 figures. Published version available at http://rspa.royalsocietypublishing.org/content/early/2010/02/09/rspa.2009.

Scientific paper

10.1098/rspa.2009.0606

Classical Taylor-Aris dispersion theory is extended to describe the transport of suspensions of self-propelled dipolar cells in a tubular flow. General expressions for the mean drift and effective diffusivity are determined exactly in terms of axial moments, and compared with an approximation a la Taylor. As in the Taylor-Aris case, the skewness of a finite distribution of biased swimming cells vanishes at long times. The general expressions can be applied to particular models of swimming microorganisms, and thus be used to predict swimming drift and diffusion in tubular bioreactors, and to elucidate competing unbounded swimming drift and diffusion descriptions. Here, specific examples are presented for gyrotactic swimming algae.

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