Volume 114, Number 4, May 2016
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||15 June 2016|
Elastic turbulence in a shell model of polymer solution
1 International Centre for Theoretical Sciences, Tata Institute of Fundamental Research - Bangalore 560089, India
2 Laboratoire J. A. Dieudonné, Université Nice Sophia Antipolis, CNRS, UMR 7351 - Nice 06108, France
Received: 5 March 2016
Accepted: 26 May 2016
We show that, at low inertia and large elasticity, shell models of viscoelastic fluids develop a chaotic behaviour with properties similar to those of elastic turbulence. The low dimensionality of shell models allows us to explore a wide range both in polymer concentration and in Weissenberg number. Our results demonstrate that the physical mechanisms at the origin of elastic turbulence do not rely on the boundary conditions or on the geometry of the mean flow.
PACS: 47.52.+j – Chaos in fluid dynamics / 47.57.Ng – Polymers and polymer solutions
© EPLA, 2016
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