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Elasto-inertial dissipation in particle-laden viscoelastic Taylor–Couette flow

Published online by Cambridge University Press:  10 October 2024

Charles Carré Open the ORCID record for Charles Carré [Opens in a new window] ,
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]  and
S. Amir Bahrani Open the ORCID record for S. Amir Bahrani [Opens in a new window]
Charles Carré
Affiliation:
IMT Nord Europe, Institut Mines Télécom, Univ. Lille, Center for Energy and Environment, F-59000 Lille, France
Masoud Moazzen
Affiliation:
IMT Nord Europe, Institut Mines Télécom, Univ. Lille, Center for Energy and Environment, F-59000 Lille, France
Tom Lacassagne
Affiliation:
IMT Nord Europe, Institut Mines Télécom, Univ. Lille, Center for Energy and Environment, F-59000 Lille, France
S. Amir Bahrani*
Affiliation:
IMT Nord Europe, Institut Mines Télécom, Univ. Lille, Center for Energy and Environment, F-59000 Lille, France School of Physics, Institute for Research in Fundamental Sciences (IPM), Tehran 19395-5531, Iran
*
†Email address for correspondence: [email protected]
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Abstract

Many natural and industrial processes involve the flow of fluids made of solid particles suspended in non-Newtonian liquid matrices, which are challenging to control due to the fluid's nonlinear rheology. In the present work, a Taylor–Couette canonical system is used to investigate the flow of dilute to semi-dilute suspensions of neutrally buoyant spherical particles in highly elastic base polymer solutions. Friction measurement synchronized with direct flow visualization are combined to characterize the critical conditions for the onset of elasto-inertial instabilities, expected here as a direct transition to elasto-inertial turbulence (EIT). Adding a low particle volume fraction (${\leq }2\,\%$, dilute regime) does not affect the nature of the primary transition and reduces the critical Weissenberg number for the onset of EIT, despite a significant decrease in the apparent fluid elasticity. However, for particle volume fractions ${\geq }6\,\%$ (semi-dilute regime), EIT is no longer observed in the explored Reynolds range, suggesting an apparent relaminarization with yet not further decrease in fluid elasticity. Instead, a new regime, termed here elasto-inertial dissipative (EID), was uncovered. It originates from particle–particle interactions altering particle–polymer interactions and occurring under elasto-inertial conditions comparable to those of EIT. Increasing particle volume fraction in the semi-dilute regime and, in so, the particle contribution to the overall viscosity, delays the onset of EID similarly to what was observed previously for EIT in lower elasticity fluids. After this onset, a decrease in the pseudo-Nusselt number observed with increasing inertia and particle-to-polymer concentration ratio confirms a particle-induced alteration of energy transfer in the flow.

JFM classification

Complex Fluids: Suspensions Instability: Taylor-Couette flow Non-Newtonian Flows: Viscoelasticity
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 997 , 25 October 2024 , A19
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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Supplementary material: File

Carré et al. supplementary movie

Visualisation of the flow structure (left) for 2% (bottom) and 6% (top) particle concentration, as the inner cylinder rotation speed is progressively increased, and corresponding torque measured by the rheometer (right).
Download Carré et al. supplementary movie(File)
File 3.3 MB