| Issue |
EPL
Volume 124, Number 1, October 2018
|
|
|---|---|---|
| Article Number | 14001 | |
| Number of page(s) | 7 | |
| Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/124/14001 | |
| Published online | 29 October 2018 | |
Elastic turbulence in two-dimensional Taylor-Couette flows
Technische Universität Berlin - Hardenbergstrasse 36, 10623 Berlin, Germany
(a) This email address is being protected from spambots. You need JavaScript enabled to view it.
Received: 5 June 2018
Accepted: 24 September 2018
Abstract
We report the onset of elastic turbulence in a two-dimensional Taylor-Couette geometry using numerical solutions of the Oldroyd-B model generated with the program OpenFOAM®. Beyond a critical Weissenberg number, an elastic instability causes a supercritical transition from the laminar Taylor-Couette flow to a turbulent flow. The order parameter, the time average of secondary-flow strength, follows the scaling law 
with 
and 
. Additionally, the flow resistance increases beyond Wic. The temporal power spectra of the velocity fluctuations show a power-law decay with a characteristic exponent in the range 
, which strongly depends on the radial position. The characteristic exponent β for the spatial power spectra obeys the necessary condition 
, associated with elastic turbulence, for all 
.
PACS: 47.20.Gv – Viscous and viscoelastic instabilities / 47.11.Df – Finite volume methods
© EPLA, 2018
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