| Issue |
EPL
Volume 153, Number 3, February 2026
|
|
|---|---|---|
| Article Number | 33001 | |
| Number of page(s) | 7 | |
| Section | Fluid and nonlinear dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/ae3a15 | |
| Published online | 10 February 2026 | |
Liquid Hertz impact: Low-Weber non-wetting drop dynamics
Received: 27 November 2025
Accepted: 19 January 2026
Abstract
A quasi-static model for the normal impact of a viscous drop on a non-wetting substrate is developed. The axisymmetric deformation of a sessile drop is described analytically using new asymptotically exact approximations to solutions of the Young-Laplace equation. Viscous dissipation is accounted for in linearized form through a damping coefficient inversely proportional to the relaxation time of small-amplitude oscillations of a viscous sessile drop. This formulation enables evaluation of the key characteristics of Hertz-type impact at low Weber numbers, including the drop spreading factor, restitution coefficient, and characteristic time scale. Comparison with experimental data demonstrates that the model reliably captures the essential features of slow, viscously damped liquid drop impacts on non-wetting surfaces.
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