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On the contact-line pinning in cavity formation during solid–liquid impact

Published online by Cambridge University Press:  26 October 2015

H. Ding ,
B.-Q. Chen ,
H.-R. Liu ,
C.-Y. Zhang ,
P. Gao  and
X.-Y. Lu
H. Ding*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China
B.-Q. Chen
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China
H.-R. Liu
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China
C.-Y. Zhang
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China
P. Gao
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China
X.-Y. Lu
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China
*
†Email address for correspondence: [email protected]
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Abstract

We investigate the cavity formation during the impact of spheres and cylinders into a liquid pool by using a combination of experiments, simulations and theoretical analysis, with particular interest in contact-line pinning and its relation with the subsequent cavity evolution. The flows are simulated by a Navier–Stokes diffuse-interface solver that allows for moving contact lines. On the basis of agreement on experimentally measured quantities such as the position of the pinned contact line and the interface shape, we investigate flow details that are not accessible experimentally, identify the interface regions in the cavity formation and examine the geometric effects of impact objects. We connect wettability, inertia, geometry of the impact object, interface bending and contact-line position with the contact-line pinning by analysing the force balance at a pinned meniscus, and the result compares favourably with those from simulations and experiments. In addition to adjusting the interface bending, the object geometry also has a significant effect on the magnitude of low pressure in the liquid and the occurrence of flow separation. As a result, it is easier for an object with sharp edges to generate a cavity than a smooth object. A theoretical model based on the Rayleigh–Besant equation is developed to provide a quantitative description of the radial expansion of the cavity after the pinning of the contact line. The accuracy of the solution is greatly affected by the geometrical information on the interface connected to the pinned meniscus, showing the dependence of the global cavity dynamics on the local flows around the pinned contact line. Vertical ripple propagation on the cavity wall is found to follow the dispersion relation for the perturbation evolution on a hollow jet.

JFM classification

Waves/Free-surface Flows: Capillary waves Interfacial Flows (free surface): Contact lines Wakes/Jets: Separated flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 783 , 25 November 2015 , pp. 504 - 525
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Copyright
© 2015 Cambridge University Press 

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Ding et al. supplementary movie

Cavity formation during the impact of a cylinder into water pool. This is the same experimental case as in Fig.1.

Download Ding et al. supplementary movie(Video)
Video 301.4 KB

Ding et al. supplementary movie

Cavity formation during the impact of a cylinder into water pool. This is the same experimental case as in Fig.1.

Download Ding et al. supplementary movie(Video)
Video 481.1 KB

Ding et al. supplementary movie

Cavity formation during the impact of a sphere into water pool. This is the same experimental case as in Fig.1.

Download Ding et al. supplementary movie(Video)
Video 10.4 MB

Ding et al. supplementary movie

Cavity formation during the impact of a sphere into water pool. This is the same experimental case as in Fig.1.

Download Ding et al. supplementary movie(Video)
Video 1.1 MB

Ding et al. supplementary movie

Cavity formation during the impact of a cylinder into water pool. This is the same numerical case as in Fig.1.

Download Ding et al. supplementary movie(Video)
Video 24.6 MB

Ding et al. supplementary movie

Cavity formation during the impact of a cylinder into water pool. This is the same numerical case as in Fig.1.

Download Ding et al. supplementary movie(Video)
Video 1.9 MB

Ding et al. supplementary movie

Cavity formation during the impact of a sphere into water pool. This is the same numerical case as in Fig.1.

Download Ding et al. supplementary movie(Video)
Video 132.5 KB

Ding et al. supplementary movie

Cavity formation during the impact of a sphere into water pool. This is the same numerical case as in Fig.1.

Download Ding et al. supplementary movie(Video)
Video 251.3 KB