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Related Experiment Video

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Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
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Published on: July 19, 2016

Vorticity structuring and velocity rolls triggered by gradient shear bands.

Suzanne M Fielding1

  • 1School of Mathematics and Manchester Centre for Nonlinear Dynamics, University of Manchester, Booth Street East, Manchester M13 9EP, United Kingdom. suzanne.fielding@manchester.ac.uk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 7, 2007
PubMed
Summary

Complex fluid flow can create structured vorticity and velocity rolls through shear banding instability. Numerical simulations show finite interface thickness, challenging current shear banding theories.

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Area of Science:

  • Rheology and fluid dynamics
  • Complex fluids
  • Non-Newtonian fluid mechanics

Background:

  • Shear banding is a common phenomenon in complex fluids, leading to the formation of distinct flow bands.
  • The underlying mechanisms of vorticity structuring and velocity roll formation within these bands are not fully understood.
  • Existing theories often assume idealized conditions that may not capture the full complexity of real fluid behavior.

Purpose of the Study:

  • To propose and investigate a mechanism for the formation of vorticity structuring and velocity rolls in complex fluids.
  • To explore the role of linear instability in one-dimensional gradient shear banded flow.
  • To numerically study the diffusive Johnson-Segalman model to support the proposed mechanism.

Main Methods:

  • Linear instability analysis of one-dimensional gradient shear banded flow.
  • Numerical simulations using the diffusive Johnson-Segalman model.
  • Analysis of the steady vorticity structured state and interface thickness.

Main Results:

  • A mechanism is proposed where linear instability triggers vorticity structuring and velocity rolls.
  • Numerical simulations confirm the formation of these structures in the Johnson-Segalman model.
  • The study reveals a finite interface thickness between shear bands in the limit of zero stress diffusivity.

Conclusions:

  • The findings suggest a novel mechanism for vorticity and velocity roll formation in complex fluids.
  • The finite interface thickness challenges the accepted theory of shear banding, indicating a need for refinement.
  • This work provides new insights into the complex flow behavior of non-Newtonian fluids.