Direct numerical simulations of sub- and supersonic impinging jets with
Reynolds numbers of 3300 and 8000 are carried out to analyse their statistical
properties. The influence of the parameters Mach number, Reynolds number and
ambient temperature on the mean velocity and temperature fields are studied.
For the compressible subsonic cold impinging jets into a heated environment,
different Reynolds analogies are assesses. It is shown, that the (original)
Reynolds analogy as well as the Chilton Colburn analogy are in good agreement
with the DNS data outside the impinging area. The generalised Reynolds analogy
(GRA) and the Crocco-Busemann relation are not suited for the estimation of the
mean temperature field based on the mean velocity field of impinging jets.
Furthermore, the prediction of fluctuating temperatures according to the GRA
fails. On the contrary, the linear relation between thermodynamic fluctuations
of entropy, density and temperature as suggested by Lechner et al. (2001) can
be confirmed for the entire wall jet. The turbulent heat flux and Reynolds
stress tensor are analysed and brought into coherence with the primary and
secondary ring vortices of the wall jet. Budget terms of the Reynolds stress
tensor are given as data base for the improvement of turbulence models
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