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Drop impact of yield-stress fluids

Published online by Cambridge University Press:  27 July 2009

LI-HUA LUU  and
YOËL FORTERRE
LI-HUA LUU
Affiliation:
Laboratoire IUSTI, CNRS UMR 6595, Aix-Marseille Université, 5 rue Enrico Fermi, 13453 Marseille Cedex 13, France
YOËL FORTERRE*
Affiliation:
Laboratoire IUSTI, CNRS UMR 6595, Aix-Marseille Université, 5 rue Enrico Fermi, 13453 Marseille Cedex 13, France
*
†Email address for correspondence: [email protected]
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Abstract

The normal impact of a drop of yield-stress fluid on a flat rigid surface is investigated experimentally. Using different model fluids (polymer microgels, clay suspensions) and impacted surfaces (partially wettable, super-hydrophobic), we find a rich variety of impact regimes from irreversible viscoplastic coating to giant elastic spreading and recoil. A minimal model of inertial spreading, taking into account an elasto-viscoplastic rheology, allows explaining in a single framework the different regimes and scaling laws. In addition, semi-quantitative predictions for the spread factor are obtained when the measured rheological parameters of the fluid (elasticity, yield stress, viscosity) are injected into the model. Our study offers a means to probe the short-time rheology of yield-stress fluids and highlights the role of elasticity on the unsteady hydrodynamics of these complex fluids. Movies are available with the online version of the paper (go to journals.cambridge.org/flm).

JFM classification

Drops and Bubbles: Drops Non-Newtonian Flows: Non-Newtonian Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 632 , 10 August 2009 , pp. 301 - 327
Copyright
Copyright © Cambridge University Press 2009

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References

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Luu and Forterre supplementary movie

Movie 1. Typical impact dynamics of a drop of clay on a super-hydrophobic surface (55 wt% kaolin, L_0=26.5 mm, V_0=2.8 m.s^{-1}). Total time: 29 ms. After the rapid spreading phase, the drop `freezes' and irreversible coats the surface due to viscoplastic dissipation.

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Video 152.6 KB

Luu and Forterre supplementary movie

Movie 2. Typical impact dynamics of a Carbopol drop on a super-hydrophobic surface (1 wt% Carbopol, L_0=12 mm, V_0=2.8 m.s^{-1}). Total time: 75 ms. Strong elastic recoil and receding are observed after the spreading phase, despite the fact that drop deformations are far beyond the flow threshold. Note that during the impact, some hydrophobic sand grains are blown off the surface.

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Video 705.8 KB

Luu and Forterre supplementary movie

Movie 3. Bouncing of a 2 wt% Carbopol drop on a super-hydrophobic surface (L_0=17.5 mm, V_0=2.4 m.s^{-1}). Total time: 120 ms.

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Video 6.3 MB