Optimal Turbulent Transport in Microswimmer Suspensions

Autor: Reinken, Henning, Klapp, Sabine H. L., Wilczek, Michael
Rok vydání: 2022
Předmět:
Zdroj: Phys. Rev. Fluids 7, 084501 (2022)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevFluids.7.084501
Popis: Microswimmer suspensions self-organize into complex spatio-temporal flow patterns, including vortex lattices and mesoscale turbulence. Here we explore the consequences for the motion of passive tracers, based on a continuum model for the microswimmer velocity field. We observe two qualitatively different regimes distinguished via the dimensionless Kubo number $K$. At advection strengths right above the transition to turbulence, the flow field evolves very slowly ($K \gg 1$) and the spatial vortex structures lead to dominant trapping effects. In contrast, deep in the turbulent state, much faster dynamics ($K \ll 1$) consistent with the so-called sweeping hypothesis leads to transport properties completely determined by the temporal correlations. In between ($K \approx 1$), we observe a regime of optimal transport, signaled by a maximum of the diffusion coefficient.
Databáze: arXiv