Geometry-dependent viscosity reduction in sheared active fluids
Name
PhysRevFluids.2.043102.pdf
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5.11 MB
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Author(s) •
Slomka, Jonasz Jozef
Dunkel, Joern
Date Issued
April 2017
Journal
Physical Review Fluids
Publisher
American Physical Society (APS)
Citation
Słomka, Jonasz, and Jörn Dunkel. “Geometry-Dependent Viscosity Reduction in Sheared Active Fluids.” Physical Review Fluids, vol. 2, no. 4, Apr. 2017. © 2017 American Physical Society.
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1103/PHYSREVFLUIDS.2.043102