Note on the Law of Decay of Isotropic Turbulence.

The law of decay of turbulence has been discussed by several authors by making various assumptions. Recently, Batchelor' made a summarizing discussion of some of these assumptions and their consequences. The present author has made a different assumption, which seems to be suggested by Kolmogoroff's concept of turbulence at high Reynolds numbers, and yet has not been covered by Batchelor's discussion. The result seems also to be in reasonably good agreement with all experimental data available. This result was originally obtained by a discussion of the spectrum, but a derivation using the correlation function itself is presented here. According to Kolmogoroff, the double and triple correlation functions f(r) and h(r) for a distance r apart should be of the forms