I agree with you, that include as well many other quantities such as turbulence intensity and Reynolds stress.
refer to these articles
An experimental and theoretical study on particles-in-air behavior characterization at different particles loading and turbulence modulation DOI: 10.1016/j.aej.2019.04.002
Computational Study of Different Turbulence Models for Air Impingement Jet into Main Air Cross Stream DOI: 10.1615/InterJFluidMechRes.2019026713