Dispersion of biased swimming micro-organisms in a fluid flowing through a tube

Martin A. Bees; Ottavio A. Croze

doi:10.1098/rspa.2009.0606

Dispersion of biased swimming micro-organisms in a fluid flowing through a tube

Martin A. Bees, Ottavio A. Croze

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	2057-2077
Number of pages	21
Journal	Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Volume	466
Issue number	2119
DOIs	https://doi.org/10.1098/rspa.2009.0606
Publication status	Published - 8 Jul 2010

Access to Document

10.1098/rspa.2009.0606

http://www.maths.gla.ac.uk/~mab/reports/bees_croze10.pdf

Cite this

@article{1d99817eeb1144a69d2d9f1b067771f2,

title = "Dispersion of biased swimming micro-organisms in a fluid flowing through a tube",

abstract = "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.",

author = "Bees, {Martin A.} and Croze, {Ottavio A.}",

year = "2010",

month = jul,

day = "8",

doi = "10.1098/rspa.2009.0606",

language = "English",

volume = "466",

pages = "2057--2077",

journal = "Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences",

issn = "1364-5021",

publisher = "The Royal Society",

number = "2119",

}

TY - JOUR

T1 - Dispersion of biased swimming micro-organisms in a fluid flowing through a tube

AU - Bees, Martin A.

AU - Croze, Ottavio A.

PY - 2010/7/8

Y1 - 2010/7/8

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=77955200502&partnerID=8YFLogxK

U2 - 10.1098/rspa.2009.0606

DO - 10.1098/rspa.2009.0606

M3 - Article

SN - 1364-5021

VL - 466

SP - 2057

EP - 2077

JO - Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences

JF - Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences

IS - 2119

ER -

Dispersion of biased swimming micro-organisms in a fluid flowing through a tube

Abstract

Access to Document

Other files and links

Cite this