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An effective and efficient model of the near-field hydrodynamic interactions for active suspensions of bacteria.


ABSTRACT: Near-field hydrodynamic interactions in active fluids are essential to determine many important emergent behaviors observed, but have not been successfully modeled so far. In this work, we propose an effective model capturing the essence of the near-field hydrodynamic interactions through a tensorial coefficient of resistance, validated numerically by a pedagogic model system consisting of an Escherichia coli bacterium and a passive sphere. In a critical test case that studies the scattering angle of the bacterium-sphere pair dynamics, we prove that the near-field hydrodynamics can make a qualitative difference even for this simple two-body system: Calculations based on the proposed model reveal a region in parameter space where the bacterium is trapped by the passive sphere, a phenomenon that is regularly observed in experiments but cannot be explained by any existing model. In the end, we demonstrate that our model also leads to efficient simulation of active fluids with tens of thousands of bacteria, sufficiently large for investigations of many emergent behaviors.

SUBMITTER: Zhang B 

PROVIDER: S-EPMC8285906 | biostudies-literature | 2021 Jul

REPOSITORIES: biostudies-literature

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An effective and efficient model of the near-field hydrodynamic interactions for active suspensions of bacteria.

Zhang Bokai B   Leishangthem Premkumar P   Ding Yang Y   Xu Xinliang X  

Proceedings of the National Academy of Sciences of the United States of America 20210701 28


Near-field hydrodynamic interactions in active fluids are essential to determine many important emergent behaviors observed, but have not been successfully modeled so far. In this work, we propose an effective model capturing the essence of the near-field hydrodynamic interactions through a tensorial coefficient of resistance, validated numerically by a pedagogic model system consisting of an <i>Escherichia coli</i> bacterium and a passive sphere. In a critical test case that studies the scatter  ...[more]

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