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Geometry-dependent viscosity reduction in sheared active fluids

Jonasz Słomka and Jörn Dunkel

  • Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139-4307, USA

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Phys. Rev. Fluids 2, 043102 – Published 25 April, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.043102

Abstract

We investigate flow pattern formation and viscosity reduction mechanisms in active fluids by studying a generalized Navier-Stokes model that captures the experimentally observed bulk vortex dynamics in microbial suspensions. We present exact analytical solutions including stress-free vortex lattices and introduce a computational framework that allows the efficient treatment of higher-order shear boundary conditions. Large-scale parameter scans identify the conditions for spontaneous flow symmetry breaking, geometry-dependent viscosity reduction, and negative-viscosity states amenable to energy harvesting in confined suspensions. The theory uses only generic assumptions about the symmetries and long-wavelength structure of active stress tensors, suggesting that inviscid phases may be achievable in a broad class of nonequilibrium fluids by tuning confinement geometry and pattern scale selection.

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Phys. Rev. Fluids 2, 043102– Published 25 April, 2017
  • Received 5 August 2016

©2017 American Physical Society

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