A Few more details on Capacitance based diffusion analog and
the geometry of growing ice crystals.
Okay what about some real world applications:
1. A cloud is cylindrical in shape with a
cross-sectional area of 10 km2and a height of
3 km. All of the cloud is initially supercooled
and the liquid water content is 2 g m-3. If all
of the water in the cloud is transferred on to ice nuclei present in a uniform concentration
of 1 liter-1 , determine the total number of ice
crystals in the cloud and the mass of each ice
crystal produced. If all the ice crystals
precipitate and melt before they reach the ground
what will be the total rainfall that is produced?
2. Calculate the radius and the mass of an ice
crystal after it has grown by deposition
from the vapor phase for half an hour in a
water-saturated environment at -5 C. .Assume
that the crystal is a thin circular disk with a
constant thickness of 10 microns.
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