Volume 124, Number 1, October 2018
|Number of page(s)||7|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||29 October 2018|
Elastic turbulence in two-dimensional Taylor-Couette flows
Technische Universität Berlin - Hardenbergstrasse 36, 10623 Berlin, Germany
Received: 5 June 2018
Accepted: 24 September 2018
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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