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Statistical analysis of the hydrodynamic pressure in the near field of compressible jets
Affiliation:1. Università degli Studi Roma TRE, Rome 00146, Italy;2. École Centrale de Lyon, Lyon 69134 Ecully Cedex, France;1. Dip. di Fisica e Geologia, Università degli Studi di Perugia, I-06123 Perugia, Italy;2. CNRS and Univ. Grenoble Alpes, LIPhy, F-38000 Grenoble, France;3. European Laboratory for Non-Linear Spectroscopy (LENS), Università di Firenze, I-50019 Sesto Fiorentino, Firenze, Italy;4. Dip. di Fisica ed Astronomia, Università di Firenze, I-50019 Sesto Fiorentino, Firenze, Italy
Abstract:This paper is devoted to the statistical characterization of the pressure fluctuations measured in the near field of a compressible jet at two subsonic Mach numbers, 0.6 and 0.9. The analysis is focused on the hydrodynamic pressure measured at different distances from the jet exit and analyzed at the typical frequency associated to the Kelvin–Helmholtz instability. Statistical properties are retrieved by the application of the wavelet transform to the experimental data and the computation of the wavelet scalogram around that frequency. This procedure highlights traces of events that appear intermittently in time and have variable strength. A wavelet-based event tracking procedure has been applied providing a statistical characterization of the time delay between successive events and of their energy level. On this basis, two stochastic models are proposed and validated against the experimental data in the different flow conditions
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