Effect of viscoelasticity on the collective behavior of swimming microorganisms

Yaser Bozorgi and Patrick T. Underhill
Phys. Rev. E 84, 061901 – Published 5 December 2011

Abstract

Hydrodynamic interactions of swimming microorganisms can lead to coordinated behaviors of large groups. Using a mean-field theory and the Oldroyd-B constitutive equation, we show how linear viscoelasticity of the suspending fluid alters the hydrodynamic interactions and therefore the ability of the group to coordinate. We quantify the ability to coordinate by the initial growth rate of a small disturbance from the uniform isotropic state. For small wave numbers the response is qualitatively similar to a Newtonian fluid but the Deborah number affects an effective viscosity of the suspension. At higher wave number, the response of the fluid to small amplitude oscillatory shear flow, leads to a maximal growth rate at a particular wavelength unlike the Newtonian result.

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  • Received 10 July 2011

DOI:https://doi.org/10.1103/PhysRevE.84.061901

©2011 American Physical Society

Authors & Affiliations

Yaser Bozorgi and Patrick T. Underhill*

  • The Howard P. Isermann Department of Chemical and Biological Engineering, Rensselaer Polytechnic Institute, Troy, New York 12180, USA

  • *Corresponding author: underhill@rpi.edu

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Issue

Vol. 84, Iss. 6 — December 2011

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