Piecewise-spreading regime model for calculating effective gol'dberg numbers for supersonic jet noise
W. J. Baars (University of Melbourne)
Charles E. Tinney (The University of Texas at Austin)
Mark F. Hamilton (The University of Texas at Austin)
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Abstract
A method for calculating the effective Gol'dberg number for diverging waveforms is presented, which leverages known features of a high-speed jet and its associated sound field. The approach employs a ray tube situated along the Mach wave angle where the sound field is not only most intense, but advances from undergoing cylindrical decay to spherical decay. Unlike other efforts, a "piecewise-spreading regime" model is employed, which yields, separately, effective Gol'dberg numbers for the cylindrically and spherically spreading regions in the far field. The new approach is applied to a plethora of experimental databases, encompassing both laboratory-and full-scale jet noise studies. The findings demonstrate how cumulative nonlinear distortion is expected to form in the acoustic near field of laboratoryscale round jets where pressure amplitudes decay cylindrically; waveformdistortion is not expected in the acoustic far field where waveform amplitudes diverge spherically. On the other hand, where full-scale jet studies are concerned, effective Gol'dberg number calculations demonstrate how cumulative waveform distortion is significant in both the cylindrical-and spherical-spreading regimes. The laboratory-scale studies also reveal a pronounced sensitivity to humidity conditions, relative to the full-scale counterpart.
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