  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.
