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Highly entangled polymeric fluids exhibit elastic turbulence due to 2D perturbations, leading to dynamic shear bands. This instability occurs in both shear-thinning and shear-banding fluids, offering insights into rheo-chaotic states.

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Area of Science:

  • Rheology
  • Fluid Dynamics
  • Polymer Physics

Background:

  • Concentrated polymeric fluids can exhibit complex flow behaviors.
  • Understanding instabilities in these fluids is crucial for predicting their dynamics.

Purpose of the Study:

  • To theoretically investigate the linear instability of homogeneous planar Couette flow in concentrated polymeric fluids.
  • To explore the nonlinear consequences of this instability using direct simulations.
  • To identify the conditions under which elastic turbulence arises in different fluid models.

Main Methods:

  • Linear stability analysis of two-dimensional perturbations.
  • Two-dimensional direct nonlinear simulations.
  • Utilized the Johnson-Segalman and Rolie-Poly constitutive models.

Main Results:

  • Demonstrated linear instability of homogeneous planar Couette flow to 2D perturbations in both models.
  • Simulations revealed elastic turbulence characterized by dynamic shear bands.
  • Instability observed in both shear-banding and shear-thinning fluids, extending beyond 1D stable states.
  • Identified unstable shear branches in both models, with the Rolie-Poly model showing instability in the low shear branch as well.

Conclusions:

  • Provided the first simulation evidence for elastic turbulence in highly entangled polymeric fluids.
  • The findings potentially explain experimentally observed rheo-chaotic states in wormlike micelles.
  • Elastic turbulence was also demonstrated in planar Poiseuille flow, broadening the scope of the phenomenon.