A simple similarity scaling model for the axisymmetric turbulent jet*

The literature contains numerous descriptions of similarity scaling laws for the axisymmetric turbulent jet. These descriptions are often based in some way on empirical results. Thus, no models have been found by the authors that are based only on basic physical principles. This is the aim of the current work. From a simple model for the jet, we derive some predictions for the axisymmetric turbulent jet [1]. These predictions are backed by carefully conducted laser Doppler anemometry measurements acquired using our in-house processor [2]. The measurements are carried out on an air jet with a confinement large enough so that the jet can be considered free to a good approximation. The measurement quality is high enough to provide reliable second and third order statistics even in the outer parts of the jet and far downstream. The one-parameter law resulting from the simple model derivation and the measurement results agree even in the higher order statistics.

1. Buchhave P, Velte CM “A similarity scaling model for the axisymmetric turbulent jet based on first principles”, arXiv:2105.03666 [physics.flu-dyn]

2. Yaacob MR, Schlander RK, Buchhave P, Velte CM “A novel laser Doppler anemometer (LDA) for high-accuracy turbulence measurements”, arXiv:1905.08066 [physics.flu-dyn]