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Quincke rotation driven flows

M. Belovs and A. Cēbers*

  • MMML Lab, Department of Physics, University of Latvia, Jelgavas-3, Rīga, LV-1004, Latvia

  • *aceb@tesla.sal.lv
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Phys. Rev. Fluids 5, 013701 – Published 2 January, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.013701

Abstract

Flows induced by Quincke rotation in particle suspensions are considered. Nonlinear boundary problems for the suspension velocity and particle angular velocity fields in rectangular capillaries are formulated and solved for both no-slip and free boundary conditions. Linear stability analysis shows that the critical electric field strength necessary for the development of macroscopic flow is smaller than the field strength at which spontaneous Quincke rotation of a single particle occurs. This decrease is caused by hydrodynamic synchronization of the particle rotations. In the case of free boundaries interesting intermittent behavior is observed: as the parameters governing the problem pass degenerate eigenmodes revealed by the stability analysis, the nature of the induced flow changes qualitatively.

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Phys. Rev. Fluids 5, 013701– Published 2 January, 2020
  • Received 17 August 2019
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