Elastic turbulence in two-dimensional Taylor-Couette flows

Abstract

We report the onset of elastic turbulence in a two-dimensional Taylor-Couette geometry using numerical solutions of the Oldroyd-B model, also performed at high Weissenberg numbers with the program OpenFOAM. Beyond a critical Weissenberg number, an elastic instability causes a supercritical transition from the laminar Taylor-Couette to a turbulent flow. The order parameter, the time average of secondary-flow strength, follows the scaling law $\Phi \propto (\mathrm{Wi}-{\mathrm{Wi}}_c{)}^{\gamma }$ with ${\mathrm{Wi}}_c=10$ and $\gamma =0.45$. The power spectrum of the velocity fluctuations shows a power-law decay with a characteristic exponent, which strongly depends on the radial position. It is greater than two, which we relate to the dimension of the geometry.

References in corpus (6)

• Elastic turbulence in a polymer solution flow
• Elastic turbulence in curvilinear flows of polymer solutions
• A nonlinear elastic instability in channel flows at low Reynolds numbers
• Spectra of turbulence in dilute polymer solutions
• Two-dimensional elastic turbulence
• Stretching of polymers in a random three-dimensional flow

Cited by in corpus (8)

• Elastic turbulence generates anomalous flow resistance in porous media
• Effect of polymer-stress diffusion in the numerical simulation of elastic turbulence
• Characterizing elastic turbulence in the three-dimensional von Karman swirling flow using the Oldroyd-B model
• Elastic turbulence in two-dimensional cross-slot viscoelastic flows
• Preserving large-scale features in simulations of elastic turbulence
• Dissipative systems with nonlocal delayed feedback control
• Orientational order and topological defects in a dilute solutions of rodlike polymers at low Reynolds number
• The broken link between space and time in elastic turbulence