Fog Formula

Zakarova wrote a 1971 article on a math model for fog. Here, the author will attempt to write a paper putting some of Zakharov’s mathematical ideas together. The article was translated by AIR FORCE CAMBRIDGE RESEARCH LABORATORIES in Massachusetts. This article is concerned with the equations up to (7a) on page 6 in the 21 pages, which is the following.

∂ S / ∂ t = ∂ / ∂ z kx ∂ S / ∂ z + ∂ (δ |v|) / ∂ z    (7a)

The start is due to assuming two equations of motion and one equation of heat transfer. Fog happens when the relative humidity is 100%, so the assumption is that the water vapor in fog is in a saturated state. Various equations result in (7a) so this author is here to present the argument. There will be NOMENCLATURE and reasoning behind the mathematical procedure.