Turbulence generation through an iterative cascade of the elliptical instability.

Abstract:

:The essence of turbulent flow is the conveyance of energy through the formation, interaction, and destruction of eddies over a wide range of spatial scales-from the largest scales where energy is injected down to the smallest scales where it is dissipated through viscosity. Currently, there is no mechanistic framework that captures how the interactions of vortices drive this cascade. We show that iterations of the elliptical instability, arising from the interactions between counter-rotating vortices, lead to the emergence of turbulence. We demonstrate how the nonlinear development of the elliptical instability generates an ordered array of antiparallel secondary filaments. The secondary filaments mutually interact, leading to the formation of even smaller tertiary filaments. In experiments and simulations, we observe two and three iterations of this cascade, respectively. Our observations indicate that the elliptical instability could be one of the fundamental mechanisms by which the turbulent cascade develops.

journal_name

Sci Adv

journal_title

Science advances

authors

McKeown R,Ostilla-Mónico R,Pumir A,Brenner MP,Rubinstein SM

doi

10.1126/sciadv.aaz2717

subject

Has Abstract

pub_date

2020-02-28 00:00:00

pages

eaaz2717

issue

9

issn

2375-2548

pii

aaz2717

journal_volume

6

pub_type

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