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Freezing in a drop impacting a cold substrate: Where dendrites can't penetrate?
Mingyue Ding1, Yuheng Shang2, Maria Rosaria Vetrano2
1Institute for Fluid Mechanics and Aerodynamics, Technical University of Darmstadt, Peter-Grünberg-Straße 10, Darmstadt, 64287, Germany.
Supercooled water drops freezing on cold surfaces form ice differently based on layer thickness. Dendrites form when the liquid layer is thicker than the ice layer, impacting ice prediction.
Area of Science:
- Physics of Fluids
- Materials Science
- Aerospace Engineering
Background:
- Ice accretion on cold surfaces from supercooled water drops (SLD) presents significant challenges in aviation and infrastructure.
- The freezing behavior of SLD, specifically the formation of dendritic ice structures and subsequent runback ice, is not fully understood.
- Existing hypotheses suggest the relative thicknesses of ice and liquid layers influence freezing patterns.
Purpose of the Study:
- To investigate the freezing dynamics of supercooled water drops impacting cold surfaces.
- To determine the critical factors governing the formation of dendritic ice structures versus non-dendritic ice layers.
- To develop a predictive model for ice accretion phenomena.
Main Methods:
- High-speed imaging was used to observe the freezing of room-temperature and supercooled water drops on cold substrates.
- Experiments were conducted at substrate temperatures as low as -35°C and -10°C for supercooled drops.
- A wind tunnel was utilized to control impact velocity for supercooled drops in a cold chamber.
Main Results:
- Three distinct freezing regimes were identified: dendrite propagation, thin ice layer expansion, and reverse freezing.
- A one-dimensional heat conduction model was developed, incorporating temperature-dependent thermal properties.
- A critical threshold was established: dendritic ice formation occurs when the supercooled liquid layer is thicker than the propagating ice layer.
Conclusions:
- The study successfully explains the observed freezing regimes based on the relative thicknesses of ice and liquid layers.
- Theoretical predictions from the heat conduction model align well with experimental data.
- Findings provide crucial insights into freezing dynamics, with direct implications for improving ice prediction models in aerospace applications.
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