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Deformation upon impact of a concentrated suspension drop

Published online by Cambridge University Press:  01 June 2020

Loren Jørgensen Open the ORCID record for Loren Jørgensen [Opens in a new window] ,
Yoël Forterre Open the ORCID record for Yoël Forterre [Opens in a new window]  and
Henri Lhuissier Open the ORCID record for Henri Lhuissier [Opens in a new window]
Loren Jørgensen
Affiliation:
Aix Marseille Université, CNRS, IUSTI, Marseille, France
Yoël Forterre
Affiliation:
Aix Marseille Université, CNRS, IUSTI, Marseille, France
Henri Lhuissier*
Affiliation:
Aix Marseille Université, CNRS, IUSTI, Marseille, France
*
†Email address for correspondence: henri.lhuissier@univ-amu.fr
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Abstract

We study the impact between a plate and a drop of non-colloidal solid particles suspended in a Newtonian liquid, paying specific attention to the case when the particle volume fraction, $\unicode[STIX]{x1D719}$, is close to – or even exceeds – the critical volume fraction, $\unicode[STIX]{x1D719}_{c}$, at which the steady effective viscosity of the suspension diverges. We use a specific concentration protocol together with an accurate determination of $\unicode[STIX]{x1D719}$ for each drop, and we measure the deformation $\unicode[STIX]{x1D6FD}$ for different liquid viscosities, impact velocities and particle sizes. At low volume fractions, $\unicode[STIX]{x1D6FD}$ is found to follow closely an effective Newtonian behaviour, which we determine by documenting the low-deformation limit for a highly viscous Newtonian drop and characterizing the effective shear viscosity of our suspensions. By contrast, whereas the effective Newtonian approach predicts that $\unicode[STIX]{x1D6FD}$ vanishes at $\unicode[STIX]{x1D719}_{c}$, a finite deformation is observed for $\unicode[STIX]{x1D719}>\unicode[STIX]{x1D719}_{c}$. This finite deformation remains controlled by the suspending liquid viscosity and increases with increasing particle size, which suggests that the dilatancy of the particle phase is a key factor in the dissipation process close to and above $\unicode[STIX]{x1D719}_{c}$.

JFM classification

Complex Fluids: Suspensions Drops and Bubbles: Drops Multiphase and Particle-laden Flows: Particle/fluid flow
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 896 , 10 August 2020 , R2
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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