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Title: Effective viscosity of dilute bacterial suspensions : a two-dimensional model.

Abstract

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.

Authors:
; ; ;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Science Foundation (NSF)
OSTI Identifier:
978988
Report Number(s):
ANL/MSD/JA-62485
TRN: US201010%%320
DOE Contract Number:  
DE-AC02-06CH11357
Resource Type:
Journal Article
Journal Name:
Phys. Biology
Additional Journal Information:
Journal Volume: 5; Journal Issue: 2008
Country of Publication:
United States
Language:
ENGLISH
Subject:
59 BASIC BIOLOGICAL SCIENCES; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; HYDRODYNAMICS; VISCOSITY; BIOLOGY

Citation Formats

Haines, B M, Aranson, I S, Berlyand, L, Karpeev, D A, and Pennsylvania State Univ. Effective viscosity of dilute bacterial suspensions : a two-dimensional model.. United States: N. p., 2008. Web. doi:10.1088/1478-3975/5/4/046003.
Haines, B M, Aranson, I S, Berlyand, L, Karpeev, D A, & Pennsylvania State Univ. Effective viscosity of dilute bacterial suspensions : a two-dimensional model.. United States. https://doi.org/10.1088/1478-3975/5/4/046003
Haines, B M, Aranson, I S, Berlyand, L, Karpeev, D A, and Pennsylvania State Univ. 2008. "Effective viscosity of dilute bacterial suspensions : a two-dimensional model.". United States. https://doi.org/10.1088/1478-3975/5/4/046003.
@article{osti_978988,
title = {Effective viscosity of dilute bacterial suspensions : a two-dimensional model.},
author = {Haines, B M and Aranson, I S and Berlyand, L and Karpeev, D A and Pennsylvania State Univ.},
abstractNote = {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.},
doi = {10.1088/1478-3975/5/4/046003},
url = {https://www.osti.gov/biblio/978988}, journal = {Phys. Biology},
number = 2008,
volume = 5,
place = {United States},
year = {2008},
month = {1}
}