G. Raman et al., MODE SPECTRA OF NATURAL DISTURBANCES IN A CIRCULAR JET AND THE EFFECTOF ACOUSTIC FORCING, Experiments in fluids, 17(6), 1994, pp. 415-426
A modal spectrum technique was used to study coherent instability mode
s (both axisymmetric and azimuthal) triggered by naturally occurring d
isturbances in a circular jet. This technique was applied to a high Re
ynolds number (400,000) jet for both untripped (transitional) and trip
ped (turbulent) nozzle exit boundary layers, with both cases having a
core turbulence level of 0.15%. The region up to the end of the potent
ial core was dominated by the axisymmetric mode, with the azimuthal mo
des dominating further downstream. The growth of the azimuthal modes w
as observed closer to the nozzle exit for the jet with a transitional
boundary layer. Whether for locally parallel flow or slowly diverging
flow, even at low levels of acoustic forcing, the inviscid linear theo
ry is seen to be inadequate for predicting the amplitude of the forced
mode. In contrast, the energy integral approach reasonably predicts t
he evolution of the forced mode.