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Taylor–Couette flow of polymer solutions with shear-thinning and viscoelastic rheology

Published online by Cambridge University Press:  30 October 2020

Neil Cagney Open the ORCID record for Neil Cagney [Opens in a new window] ,
Tom Lacassagne Open the ORCID record for Tom Lacassagne [Opens in a new window]  and
Stavroula Balabani Open the ORCID record for Stavroula Balabani [Opens in a new window]
Neil Cagney
Affiliation:
School of Engineering and Materials Science, Queen Mary University of London, Mile End Road, LondonE1 4NS, UK Department of Mechanical Engineering, University College London, Torrington Place, LondonWC1E 6BT, UK
Tom Lacassagne
Affiliation:
Department of Mechanical Engineering, University College London, Torrington Place, LondonWC1E 6BT, UK IMT Lille Douai, Institut Mines-Télécom, Univ. Lille, Centre for Energy and Environment, F-59000 Lille, France
Stavroula Balabani*
Affiliation:
Department of Mechanical Engineering, University College London, Torrington Place, LondonWC1E 6BT, UK
*
†Email address for correspondence: [email protected]
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Abstract

We study Taylor–Couette flow of a glycerol–water mixture containing a wide range of concentration (0–2000 ppm) of xanthan gum, which induces both shear-thinning and viscoelasticity, in order to assess the effect of the changes in rheology on various flow instabilities. For each suspension, the Reynolds number (the ratio of inertial to viscous forces) is slowly increased to a peak value of around 1000, and the flow is monitored continuously using flow visualisation. Shear-thinning is found to suppress many elasticity-controlled instabilities that have been observed in previous studies of viscoelastic Taylor–Couette flow, such as diwhirls and disordered oscillations. The addition of polymers is found to reduce the critical Reynolds number for the formation of Taylor vortices, but delay the onset of wavy flow. However, in the viscoelastic regime (${\geq }1000\ \textrm {ppm}$ concentration), the flow becomes highly unsteady soon after the formation of Taylor vortices, with substantial changes in the waviness with Reynolds number, which are shown to be highly repeatable. Vortices are found to suddenly merge as the Reynolds number increases, with the number of mergers increasing with polymer concentration. These abrupt changes in wavelength are highly hysteretic and can occur in both steady and wavy regimes. Finally, the vortices in moderate and dense polymer solutions are shown to undergo a gradual drift in both their size and position, which appears to be closely linked to the splitting and merger of vortices.

JFM classification

Non-Newtonian Flows: Polymers Non-Newtonian Flows: Viscoelasticity Instability: Absolute/convective instability
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 905 , 25 December 2020 , A28
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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References

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