Abstract
We present a method to simulate non-coalescing impacts and rebounds of droplets onto the free surface of a liquid bath, together with new experimental data, focused on the low-speed impact of droplets. The method is derived from first principles and imposes only natural geometric and kinematic constraints on the motion of the impacting interfaces, yielding predictions for the evolution of the contact area, pressure distribution and wave field generated on both impacting masses. This work generalises an existing kinematic-match method whose prior applications dealt with deformation of the surface of the bath only; i.e. neglecting that of the droplet. The method's extension to include droplet deformation gives predictions that compare favourably with existing experimental results and our new experiments conducted in the low-Weber-number regime.
| Original language | English |
|---|---|
| Article number | A6 |
| Journal | Journal of Fluid Mechanics |
| Volume | 1031 |
| Early online date | 10 Mar 2026 |
| DOIs | |
| Publication status | Published - 25 Mar 2026 |
Data Availability Statement
The data that support the findings of this study are openly available in GitHub at https://github.com/harrislab-brown/km-droplet-onto-bath.Funding
This work was supported by the Engineering and Physical Sciences Research Council (EPSRC) under projects EP/P031684/1 (C.A.G-R.) and EP/N018176/1 (C.A.G-R. and P.A.M.); by Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) under grants Sprint-17/50295-8 and 2023/07076-4 (C.R.); and by the National Science Foundation under grant NSF CBET-2123371 (D.M.H.).
Keywords
- capillary waves
- drops
- wave-structure interactions
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics
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