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Atmospheric convection is an essential aspect of atmospheric movement, and itis a source of errors in Climate Models. Being able to generate approximatelimit formulas and compare the estimations they produce, could give a way toreduce them. In this article, it is shown that it is enough to assume that thevelocity's $L^2$-norm is bounded, has locally integrable, $L^1_{loc}$, weakpartial derivatives up to order two, and a negligible variation of its firstvelocity's coordinate in direction parallel to the surface, to obtain aReynolds' limit formula for a Dorodnitzyn's compressible gaseous Boundary Layerin atmospheric conditions.

Reynolds' Limit Formula for Dorodnitzyn's Atmospheric Boundary Layer in Convective Conditions