Criterion for purely elastic Taylor-Couette instability in the flows of shear-banding fluids

Abstract

In the past twenty years, shear-banding flows have been probed by various techniques, such as rheometry, velocimetry and flow birefringence. In micellar solutions, many of the data collected exhibit unexplained spatio-temporal fluctuations. Recently, it has been suggested that those fluctuations originate from a purely elastic instability of the flow. In cylindrical Couette geometry, the instability is reminiscent of the Taylor-like instability observed in viscoelastic polymer solutions. In this letter, we describe how the criterion for purely elastic Taylor-Couette instability should be adapted to shear-banding flows. We derive three categories of shear-banding flows with curved streamlines, depending on their stability.

6 pages, 3 figures

References in corpus (4)

• Rheology of giant micelles
• Interface instability in shear banding flow
• Taylor-like vortices in the shear-banding flow of giant micelles
• Loss of solutions in shear banding fluids in shear banding fluids driven by second normal stress differences

Cited by in corpus (5)

• Shear Banding of Complex Fluids
• Geometric scaling of purely-elastic flow instabilities
• Inertio-elastic instability in Taylor-Couette °ow of a model wormlike micellar system
• Non-axisymmetric instability of shear-banded Taylor-Couette flow
• Surfactant micelles: model systems for flow instabilities of complex fluids