Three-dimensional model for the effective viscosity of bacterial suspensions

被引:81
作者
Haines, Brian M. [1 ]
Sokolov, Andrey [2 ,3 ]
Aranson, Igor S. [3 ]
Berlyand, Leonid [1 ]
Karpeev, Dmitry A. [4 ]
机构
[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA
[2] IIT, Chicago, IL 60616 USA
[3] Argonne Natl Lab, Div Mat Sci, Argonne, IL 60439 USA
[4] Argonne Natl Lab, Div Math & Comp Sci, Argonne, IL 60439 USA
来源
PHYSICAL REVIEW E | 2009年 / 80卷 / 04期
关键词
cell motility; microorganisms; suspensions; viscosity; PARTICLES; MOTION;
D O I
10.1103/PhysRevE.80.041922
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We derive the effective viscosity of dilute suspensions of swimming bacteria from the microscopic details of the interaction of an elongated body with the background flow. An individual bacterium propels itself forward by rotating its flagella and reorients itself randomly by tumbling. Due to the bacterium's asymmetric shape, interactions with a prescribed generic (such as planar shear or straining) background flow cause the bacteria to preferentially align in directions in which self-propulsion produces a significant reduction in the effective viscosity, in agreement with recent experiments on suspensions of Bacillus subtilis.
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页数:7
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