Physics – Fluid Dynamics
Scientific paper
Mar 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003gapfd..97..213w&link_type=abstract
Geophysical and Astrophysical Fluid Dynamics, vol. 97, Issue 3, p.213-224
Physics
Fluid Dynamics
Scientific paper
We study the heat, salt and mass transfer processes when well-mixed seawater near freezing temperature instantly comes into contact with a cold, large vertical ice wall. In the ice, the equation for the temperature is integrated from the advancing thermal front to the ice-water interface, while the temperature distribution in this region is approximated by a polynomial. This enables us to derive an explicit equation for the position of the phase boundary as a function of time. We find that freezing commences immediately. Hence salt is liberated at the vertical ice-water interface. This drives a flow down the wall. The downward flow is assumed to be turbulent and confined to a boundary layer. The boundary layer is modelled as a plume-type of flow with entrainment from the ambient fluid. By integrating the salt, mass, and momentum equations across the layer, coupled equations are derived for the mean velocity and mean excess salinity. These equations are supplemented with an empirical relation for the entrainment rate. Analytical solutions are derived for the coupled heat-salt-mass problem.
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