Existing data on transient turbulent jet injection into large chambers demo
nstrates self-similar behavior under a wide range of conditions including c
ompressibility thermal and species diffusion, and nozzle under expansion. T
he jet penetration distance well downstream of the virtual origin is propor
tional to the square root of the time and the fourth root of the ratio of n
ozzle exit momentum flow rate to chamber density. The constant of proportio
nality has been evaluated by invoking the concept of Turner that the flow c
an be modeled as a steady jet headed by a spherical vortex. Using incompres
sible transient jet observations to determine the asymptotically constant r
atio of maximum jet width to penetration distance, and the steady jet entra
inment results of Ricou and Spalding, it is shown that the penetration cons
tant is 3 +/- 0.1. This value is shown to hold for compressible flows also,
with substantial thermal and species diffusion, and even with transient je
ts from highly under-expanded nozzles. Observations of transient jet inject
ion have been made in a chamber in which, as in diesel engine chambers with
gaseous fuel injection, the jet is directed at a small angle to one wall o
f the chamber In these tests, with under-expanded nozzles it was found that
at high nozzle pressure ratios, depending on the jet injection angle, the
jet penetration can be consistent with a penetration constant of 3. At low
pressure ratios the presence of the wall noticeably retards the penetration
of the jet.