Correction to Equations of turbulent motion of an incompressible fluid (A.N. Kolmogorov) (in English, Translation by D.B. Spalding). Proc. R. Soc. Lond. A434, 214-216 (1991)

TL;DR

This paper corrects and clarifies Kolmogorov's original equations of turbulent motion for incompressible fluids, addressing misinterpretations caused by symbol confusion in previous translations and literature.

Contribution

It provides necessary corrections to Kolmogorov's 1991 translation, ensuring accurate interpretation of his original 1942 equations.

Findings

Identifies misinterpretations in previous translations

Clarifies the symbols used in Kolmogorov's original equations

Proposes specific corrections to the equations

Abstract

After carefully checking the original Russian version of Kolmogorov (1942), in the present author view, both Spalding and Wilcox misinterpretations are due to the fact that they did not notice the two different symbols, which Kolmogorov (1942) actually used.The present author believes that there are other similar misinterpretations in the literature. To avoid them, the present author feels that the following necessary corrections should be made to Kolmogorov (1991).