Viscoelastic Taylor-Couette instability of shear banded flow

Abstract

We study numerically shear banded flow in planar and curved Couette geometries. Our aim is to explain two recent observations in shear banding systems of roll cells stacked in the vorticity direction, associated with an undulation of the interface between the bands. Depending on the degree of cell curvature and on the material's constitutive properties, we find either (i) an instability of the interface between the bands driven by a jump in second normal stress across it; or (ii) a bulk viscoelastic Taylor Couette instability in the high shear band driven by a large first normal stress within it. Both lead to roll cells and interfacial undulations, but with a different signature in each case. Our work thereby suggests a different origin for the roll cells in each of the recent experiments.

4 pages, submitted for publication

References in corpus (7)

• Recent experimental probes of shear banding
• Flow phase diagrams for concentration-coupled shear banding
• Interface instability in shear banding flow
• Linear instability of planar shear banded flow
• Taylor-like vortices in the shear-banding flow of giant micelles
• The interplay between boundary conditions and flow geometries in shear banding: hysteresis, band configurations, and surface transitions
• Vorticity structuring and Taylor-like velocity rolls triggered by gradient shear bands

Cited by in corpus (11)

• Shear Banding of Complex Fluids
• Phase-space geometry of mass-conserving reaction-diffusion dynamics
• Shear banding in time-dependent flows of polymers and wormlike micelles
• Criterion for purely elastic Taylor-Couette instability in the flows of shear-banding fluids
• Edge fracture in complex fluids
• Non-axisymmetric instability of shear-banded Taylor-Couette flow
• Dynamics and Scission of Rodlike Cationic Surfactant Micelles in Shear Flow
• Surfactant micelles: model systems for flow instabilities of complex fluids
• Shear banding in large amplitude oscillatory shear (LAOStrain and LAOStress) of polymers and wormlike micelles
• Shear-induced structures versus flow instabilities
• Micellar crowding and branching in a versatile catanionic system