Geometry-dependent viscosity reduction in sheared active fluids

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...

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Bibliographic Details
Main Authors: Slomka, Jonasz Jozef, Dunkel, Joern
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: American Physical Society (APS) 2018
Online Access:http://hdl.handle.net/1721.1/115406
https://orcid.org/0000-0002-0464-2700
https://orcid.org/0000-0001-8865-2369
Description
Summary: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.