The supply of energy from and to atmospheric eddies

Abstract

This paper extends Osborne Reynold’s theory of the Criterion of Turbulence, to make it apply to the case in which work is done by the eddies, acting as thermodynamic engines in a gravitating atmosphere. For simplicity, the air is supposed to be dry. The gist of the solution is contained in equations (4·15) and (5·3) below. Some analogies to thermodynamics are then introduced, including the conception of an eddy-heat-per-mass, and its diminution when the air expands. These conceptions are helpful in discussing the manner in which eddies diffuse. I am indebted to Mr. W. H. Dines, F. R. S., for his valuable advice at many stages of this work.