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Abstract: Classical Taylor-Aris dispersion theory is extended to describe the transportof suspensions of self-propelled dipolar cells in a tubular flow. Generalexpressions for the mean drift and effective diffusivity are determined exactlyin terms of axial moments, and compared with an approximation a la Taylor. Asin the Taylor-Aris case, the skewness of a finite distribution of biasedswimming cells vanishes at long times. The general expressions can be appliedto particular models of swimming microorganisms, and thus be used to predictswimming drift and diffusion in tubular bioreactors, and to elucidate competingunbounded swimming drift and diffusion descriptions. Here, specific examplesare presented for gyrotactic swimming algae.



Author: M. A. Bees, O. A. Croze

Source: https://arxiv.org/







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