Effective Viscosity of Dilute Bacterial Suspensions: A Two-Dimensional Model

Details Effective Viscosity of Dilute Bacterial Suspensions: A Two-Dimensional Model Effective Viscosity of Dilute Bacterial Suspensions: A Two-Dimensional Model

2008-04-14

arxiv.org/abs/0804.2270v1

Physics

Biological Physics

15 pages, 3 figures, submitted to Physical Biology

Scientific paper

10.1088/1478-3975/5/4/046003

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.

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