Elastic turbulence in highly entangled polymers and wormlike micelles

TL;DR

This paper demonstrates through theoretical analysis and simulations that highly entangled polymeric fluids and wormlike micelles can exhibit elastic turbulence, even in conditions where traditional models predict stability, revealing complex flow behaviors.

Contribution

First simulation evidence of elastic turbulence in highly entangled polymeric fluids and wormlike micelles, expanding understanding of flow instabilities beyond traditional shear banding conditions.

Findings

2D flow instabilities lead to elastic turbulence.

Elastic turbulence occurs in both shear thinning and non-monotonic fluids.

Turbulence observed in planar Poiseuille flow.

Abstract

We show theoretically that an initially homogeneous planar Couette flow of a concentrated polymeric fluid is linearly unstable to the growth of two-dimensional (2D) perturbations, within two widely used constitutive models: the Johnson-Segalman model and the Rolie-Poly model. We perform direct nonlinear simulations of both models in 2D to show that this instability leads to a state of elastic turbulence comprising several narrow shear bands that dynamically coalesce, split and interact. Importantly, we show that this 2D instability arises not only in fluids that have a non-monotonic constitutive curve, and therefore show shear banding in 1D calculations, but also in shear thinning fluids with a monotonic constitutive curve, for which an initially homogeneous base state is stable in 1D. For the former category, the high shear branch of the constitutive curve is unstable to 2D instability in both models, so that the high shear band may be turbulent. In the Rolie-Poly model, the low shear branch is also likewise unstable. Our work provides the first simulation evidence for elastic turbulence in highly entangled polymeric fluids. It also potentially explains rheo-chaotic states seen experimentally in shear banding wormlike micelles. We additionally demonstrate elastic turbulence within both models in the planar Poiseuille geometry.