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Axial Velocity Spectra Scaling in a Round, Free Jet

DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal.1220
pages 1178-1188

H. Sadeghi
Department of Mechanical and Material Engineering, Queen's University, ON, Canada

Andrew Pollard
Department of Mechanical and Materials Engineering, Queen's University, Kingston, Ontario Canada K7L 3N6

Sinopsis

In this paper, the effects of the Taylor Reynolds number, mean shear rate and intermittency are considered on the spectral scaling exponents in a round, free, turbulent jet. Hot wire measurements were taken over a range of exit Reynolds numbers 10000 < ReD < 50000. The energy spectra in the inertial sub-range demonstrate considerable departure from the k−5/3 power law so that the inertial sub-range wave number exponent along the jet centreline is in the range −1.55 ≤ m ≤ −1.43, which confirms earlier findings for grid generated turbulence that this change is Re dependent. However, farther away from the centreline, the inertial sub-range spectral scaling exponents show a considerable decrease and the exponent reaches the lower values of m (e.g., m = −5/3 can be found at a radial position across the jet where the local mean velocity is around one third of the jet centreline mean velocity). It is argued that the effect of the large-scale (external) intermittency and mean shear rate are also important for determining the magnitude of the scaling-range power-law exponents in a turbulent jet.

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