期刊
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
卷 466, 期 2119, 页码 2057-2077出版社
ROYAL SOC
DOI: 10.1098/rspa.2009.0606
关键词
Taylor dispersion; gyrotaxis; algae; bacteria; swimming; bioreactors
资金
- EPSRC [EP/D073398/1]
- EPSRC [EP/D073308/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/D073308/1] Funding Source: researchfish
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 micro-organisms, 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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