A Note on the Empirical Constant in the Kolmogorov-Prandtl Eddy-Viscosity Expression

Abstract

The transport equation for the Reynolds stress is simplified to yield the Kolmogorov-Prandtl eddy viscosity expression, and the conditions are studied under which the empirical factor cμ in this expression can be a constant. By reference to experimental data, it is shown that these conditions are not generally satisfied. The measured variation of cμ is given for various thin shear layers. Those flows are identified, which can be calculated with a constant value of cμ .