Volume 129, Number 2, January 2020
|Number of page(s)||7|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||18 February 2020|
Elastic turbulence in two-dimensional cross-slot viscoelastic flows
Université de Lille, EA 7512 Unité de Mécanique de Lille - Joseph Boussinesq (UML) - F-59000 Lille, France
Received: 11 September 2019
Accepted: 31 January 2020
We report evidence of irregular unsteady flow of two-dimensional polymer solutions in the absence of inertia in cross-slot geometry using numerical simulations of Oldroyd-B model. By exploring the transition to time-dependent flow vs. both the fluid elasticity and the polymer concentration, we find a periodic behaviour close to the instability threshold and more complex flows at larger elasticity, in agreement with experimental findings. For high enough elasticity we obtain dynamics pointing to elastic turbulence, with temporal spectra of velocity fluctuations showing a power-law decay, of exponent between –3 and –2, and probability density functions of velocity fluctuations that weakly deviate from Gaussianity while high non-Gaussian tails characterise those of local accelerations.
PACS: 47.27.E- – Turbulence simulation and modeling / 47.57.Ng – Polymers and polymer solutions
© EPLA, 2020
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