Limit regimes of ice formation in turbulent supercooled water
Francesca De Santi, Piero Olla

TL;DR
This paper investigates the limits of ice formation in turbulent supercooled water, providing analytical models and numerical analysis of temperature, salinity, and ice concentration profiles, highlighting key flux ratios and their dependencies.
Contribution
It introduces analytical expressions for profiles and quantifies fluctuations in ice production, advancing understanding of ice formation dynamics in turbulent conditions.
Findings
Derived bounds on heat flux ratios depend on salt restitution and ice entrainment.
Quantified the role of fluctuations in ice production.
Provided analytical models for temperature, salinity, and ice concentration profiles.
Abstract
A study of ice formation in stationary turbulent conditions is carried out in various limit regimes of crystal growth, supercooling and ice entrainment at the water surface. Analytical expressions for the temperature, salinity and ice concentration mean profiles are provided, and the role of fluctuations in ice production is numerically quantified. Lower bounds on the ratio of sensible heat flux to latent heat flux to the atmosphere are derived and their dependence on key parameters such as salt restitution in freezing and ice entrainment in the water column is elucidated.
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