Solidification dynamic of an impacted drop
arXiv:1810.10740 · doi:10.1017/jfm.2019.459
Abstract
This paper is dedicated to the solidification of a water drop impacting a cold solid surface. In a first part, we establish a 1D solidification model, derived from the Stefan problem, that aims at predicting the freezing dynamic of a liquid on a cold substrate, taking into account the thermal properties of this substrate. This model is then experimentally validated through a 1D solidification setup, using different liquids and substrates. In a second part, we show that during the actual drop spreading, a thin layer of ice develops between the water and the substrate, and pins the contact line at its edge when the drop reaches its maximal diameter. The liquid film then remains still on its ice and keeps freezing. This configuration lasts until the contact line eventually depins and the liquid film retracts on the ice. We measure and interpret this crucial time of freezing during which the main ice layer is built. Finally, we compare our 1D model prediction to the thickness of this ice pancake and we find a very good agreement. This allows us to provide a general expression for the frozen drop main thickness, using the drop impact and liquid parameters.
arXiv comment17 pages, 6 figures
References in corpus (3)
Cited by in corpus (14)
- Universal aspects of droplet spreading dynamics in Newtonian and non-Newtonian Fluids
- Frozen Patterns of Impacted Droplets: From Conical Tips to Toroidal Shapes
- Freezing-damped impact of a water drop
- Contact Line Catch Up by Growing Ice Crystals
- Pattern formation during the impact of a partially-frozen binary droplet on a cold surface
- Drop freezing: fine detection of contaminants by measuring the tip angle
- A hybrid level-set / embedded boundary method applied to solidification-melt problems
- Freezing a rivulet
- Solidification of a rivulet: shape and temperature fields
- Increased solidification delays fragmentation and suppresses rebound of impacting drops
- Cold granular targets slow the bulk freezing of an impacting droplet
- The macroscopic contact angle of water on ice
- Flat-cupped transition in freezing drop impacts
- Marangoni-driven freezing dynamics of supercooled binary droplets