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Torque scaling at primary and secondary bifurcations in a Taylor–Couette flow of suspensions

Published online by Cambridge University Press:  22 February 2022

Masoud Moazzen Open the ORCID record for Masoud Moazzen [Opens in a new window] ,
Tom Lacassagne Open the ORCID record for Tom Lacassagne [Opens in a new window] ,
Vincent Thomy  and
S. Amir Bahrani Open the ORCID record for S. Amir Bahrani [Opens in a new window]
Masoud Moazzen
Affiliation:
IMT Nord Europe, Institut Mines Télécom, Univ. Lille, Center for Energy and Environment, F-59000Lille, France
Tom Lacassagne
Affiliation:
IMT Nord Europe, Institut Mines Télécom, Univ. Lille, Center for Energy and Environment, F-59000Lille, France
Vincent Thomy
Affiliation:
Univ. Lille, CNRS, Centrale Lille, Univ. Polytechnique Hauts-de-France, UMR 8520 - IEMN – Institut d'Electronique de Microélectronique et de Nanotechnologie, F-59000Lille, France
S. Amir Bahrani*
Affiliation:
IMT Nord Europe, Institut Mines Télécom, Univ. Lille, Center for Energy and Environment, F-59000Lille, France
*
†Email address for correspondence: [email protected]
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Abstract

The Taylor–Couette flow of non-colloidal, neutrally buoyant spherical particle suspensions in the $\phi =0\,\%-28\,\%$ concentration range and (17–250) Reynolds number ($\mathcal {R})$ range is studied using synchronized flow visualization and torque measurements. Both methods are applied in ramp-up/down (acceleration/deceleration of the inner cylinder) experiments to detect the various flow structure states and bifurcation natures, their critical conditions and their lifetime in $\mathcal {R}$ range. Torque measurement allows us to discuss the evolution of the (pseudo) Nusselt number, $\mathcal {N}$, and friction coefficient with $\mathcal {R}$ or alternatively the Taylor number, Ta. Flow visualization brings additional information on the unsteady dynamics of flow states. For concentrations higher than $\phi =6\,\%$, two unsteady (spiral vortex flow, wavy vortex flow) and one steady (Taylor vortex flow) flow state are observed in both ramp-up/down experiments. Hysteretic behaviour is reported for some primary, secondary and tertiary bifurcations, which are thus found to be subcritical. A critical concentration is observed at $\phi =15\,\%$ for the range of $\mathcal {R}$ at which spiral vortex flow is encountered. Characteristic frequencies of unsteady flow state (spiral vortex flow, wavy vortex flow) for different suspension concentrations are evaluated. Finally, three hydrodynamic concentration subregimes are identified for the first time, with their distinct sets of concentration-dependent critical conditions, torque scaling exponents and friction coefficients.

JFM classification

Complex Fluids: Suspensions Instability: Instability
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 937 , 25 April 2022 , A2
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

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