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Higher-order force moments of active particles

Babak Nasouri and Gwynn J. Elfring*

  • Department of Mechanical Engineering, Institute of Applied Mathematics, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z4

  • *gelfring@mech.ubc.ca
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Phys. Rev. Fluids 3, 044101 – Published 25 April, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.044101

Abstract

Active particles moving through fluids generate disturbance flows due to their activity. For simplicity, the induced flow field is often modeled by the leading terms in a far-field approximation of the Stokes equations, whose coefficients are the force, torque, and stresslet (zeroth- and first-order force moments) of the active particle. This level of approximation is quite useful, but may also fail to predict more complex behaviors that are observed experimentally. In this study, to provide a better approximation, we evaluate the contribution of the second-order force moments to the flow field and, by reciprocal theorem, present explicit formulas for the stresslet dipole, rotlet dipole, and potential dipole for an arbitrarily shaped active particle. As examples of this method, we derive modified Faxén laws for active spherical particles and resolve higher-order moments for active rod-like particles.

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Phys. Rev. Fluids 3, 044101– Published 25 April, 2018
  • Received 25 January 2018
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