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Model-scale jet noise analysis with a single-point, frequency-domain nonlinearity indicator.

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A new nonlinearity indicator (νN) quantifies nonlinear acoustic effects in jet noise. This indicator reveals nonlinear effects concentrate near the jet plume, offering advantages over existing methods.

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Area of Science:

  • Acoustics
  • Fluid Dynamics
  • Nonlinear Acoustics

Background:

  • Nonlinear acoustic phenomena are significant in high-speed jet noise.
  • Previous research derived indicators from the generalized Burgers equation (GBE).

Purpose of the Study:

  • To calculate and analyze a single-point, frequency-domain nonlinearity indicator (νN) for jet noise.
  • To compare the νN indicator with other nonlinear acoustic metrics.

Main Methods:

  • Calculated the nonlinearity indicator (νN) from an ensemble-averaged, frequency-domain GBE.
  • Analyzed noise from a model-scale jet at Mach 0.85, 1.8, and 2.0.
  • Compared νN trends with pressure-derivative skewness and bicoherence.

Main Results:

  • Nonlinear effects concentrate along radials near the jet plume with high sound pressure levels (SPL).
  • The νN indicator, along with absorption indicators, predicts decay consistent with nonlinear theory for monofrequency sources.
  • The νN indicator demonstrates qualitative and quantitative advantages over other metrics.

Conclusions:

  • The νN indicator effectively quantifies nonlinear acoustic effects in jet noise.
  • Nonlinear acoustic phenomena are spatially concentrated near the jet plume.
  • The νN indicator offers improved analysis capabilities for nonlinear acoustics.