Water entry of small hydrophobic spheres
By J. Aristoff, J. M. Bush. Journal of Fluid Mechanics, 2009
397 citations recorded by the source corpus.
We present the results of a combined experimental and theoretical investigation of the normal impact of hydrophobic spheres on a water surface. Particular attention is given to characterizing the shape of the resulting air cavity in the low Bond number limit, where cavity collapse is driven principally by surface tension rather than gravity. A parameter study reveals the dependence of the cavity structure on the governing dimensionless groups. A theoretical description based on the solution to the Rayleigh–Besant problem is developed to describe the evolution of the cavity shape and yields an analytical solution for the pinch-off time in the zero Bond number limit. The sphere's depth at cavity pinch-off is also computed in the low Weber number, quasi-static limit. Theoretical predictions compare favourably with our experimental observations in the low Bond number regime, and also yield new insight into the high Bond number regime considered by previous investigators. Discrepancies are rationalized in terms of the assumed form of the velocity field and neglect of the longitudinal component of curvature, which together preclude an accurate description of the cavity for depths less than the capillary length. Finally, we present a theoretical model for the evolution of the splash curtain formed at high Weber number and couple it with the underlying cavity dynamics.
Subfields: Computational Mechanics, Surfaces, Coatings and Films
View Paper: https://www.semanticscholar.org/paper/141f91ca39a4d873b5570ddc84d8948036e2624f
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In Computational Mechanics
In Surfaces, Coatings and Films
Citations in the corpus
- Generation and breakup of Worthington jets after cavity collapse. Part 1. Jet formation (2009, result): “The differences pointed out above set our system somewhat apart from other impact studies (Glasheen & McMahon 1996; Duclaux et al. 2007; Duez et al. 2007; Grumstrup, Keller & Belmonte 2007; Aristoff & Bush 2009; Do-Quang & Amberg 2009).”