Effective viscosity of dilute bacterial suspensions: a two-dimensional model
Effective viscosity of dilute bacterial suspensions: a two-dimensional model
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DOI：
10.1088/1478-3975/5/4/046003
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发表时间：
2008-12-01
期刊：
影响因子：
2
通讯作者：
Karpeev, Dmitry A.
中科院分区：
文献类型：
--
作者：
Haines, Brian M.;Aranson, Igor S.;Karpeev, Dmitry A.
在二维斯托克斯流体力学框架下研究了自推进颗粒的悬浮。在小浓度范围内，得到了这类悬浮液的有效粘度公式。这个公式包含了爱因斯坦关于被动悬挂的经典结果的二维版本中的两个项。为此，本文的主要结果被添加，一个额外的术语，由于自推进，这取决于主动悬架的物理和几何特性。该术语解释了活性悬浮液中有效粘度降低的实验观察结果。
Suspensions of self-propelled particles are studied in the framework of two-dimensional (2D) Stokesean hydrodynamics. A formula is obtained for the effective viscosity of such suspensions in the limit of small concentrations. This formula includes the two terms that are found in the 2D version of Einstein's classical result for passive suspensions. To this, the main result of the paper is added, an additional term due to self-propulsion which depends on the physical and geometric properties of the active suspension. This term explains the experimental observation of a decrease in effective viscosity in active suspensions.