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Hydrodynamic instabilities of activity-balanced binary suspensions

Bryce Palmer1, Wen Yan2, and Tong Gao1,3,*

  • 1Department of Mechanical Engineering, Michigan State University, East Lansing, Michigan 48864, USA
  • 2Center for Computational Biology, Flatiron Institute, Simons Foundation, New York, New York 10010, USA
  • 3Department of Computational Mathematics, Science and Engineering, Michigan State University, East Lansing, Michigan 48864, USA

  • *gaotong@egr.msu.edu

Phys. Rev. Fluids 7, 063101 – Published 21 June, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.063101

Abstract

Microorganisms living in microfluidic environments often form multispecies swarms, where they can leverage collective motions to achieve enhanced transport and spreading. Nevertheless, there is a general lack of physical understandings of the origins of the multiscale unstable dynamics observed within these systems. In this study, we build a theoretical model to study the hydrodynamic instabilities arising in a dilute mixture of microswimmers that have different propulsion mechanisms and populations. Especially, we consider the scenario of an “activity-balanced” binary suspension that produces zero mean extra stress. We construct a continuum kinetic model that describes the transient dynamics as the system deviates from uniform isotropy. We perform linear stability analyses to show that such binary active suspensions may exhibit rich instability behavior that are far more complex than the single-species cases (e.g., pure pusher or puller suspensions) that have been well studied.

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