Scaling model for nonlinear supersonic jet noise. Baars, W. J. & Tinney, C. E. Bulletin of the American Physical Society, Division of Fluid Dynamics, San Diego, California USA, San Diego, California USA, 2012.
Paper abstract bibtex Numerous endeavors have been undertaken to investigate nonlinear propagation of sound from jet flows in range-restricted environments. However, only weak observations of cumulative nonlinear effects have been made using these laboratory-scale setups, all the while being observed under full-scale conditions. The inconsistency is caused by the lack of rigor in understanding what the appropriate scaling parameters should be for producing measurable cumulative nonlinearities in laboratory-scale environments. A scaling model will be presented that one could use to guide future studies aimed at investigating this unique component of turbulent mixing noise. At first, the important length-scales for cumulative nonlinear waveform distortion – the shock formation distance and the acoustic absorption length – are written in terms of jet exit parameters. Their ratio, expressed as the effective Gol'dberg number, is a measure of the strength of nonlinear distortion relative to that of dissipation. By computing the individual length-scales and this dimensionless ratio for an experiment that is being designed, one can estimate the presence of cumulative nonlinear distortion beforehand.
@article {baars2012scaling,
title = {Scaling model for nonlinear supersonic jet noise},
journal = {Bulletin of the American Physical Society, Division of Fluid Dynamics, San Diego, California USA},
volume = {57},
number = {17},
year = {2012},
abstract = {<p>Numerous endeavors have been undertaken to investigate nonlinear propagation of sound from jet flows in range-restricted environments. However, only weak observations of cumulative nonlinear effects have been made using these laboratory-scale setups, all the while being observed under full-scale conditions. The inconsistency is caused by the lack of rigor in understanding what the appropriate scaling parameters should be for producing measurable cumulative nonlinearities in laboratory-scale environments. A scaling model will be presented that one could use to guide future studies aimed at investigating this unique component of turbulent mixing noise. At first, the important length-scales for cumulative nonlinear waveform distortion -- the shock formation distance and the acoustic absorption length -- are written in terms of jet exit parameters. Their ratio, expressed as the effective Gol'dberg number, is a measure of the strength of nonlinear distortion relative to that of dissipation. By computing the individual length-scales and this dimensionless ratio for an experiment that is being designed, one can estimate the presence of cumulative nonlinear distortion beforehand.</p>},
address = {San Diego, California USA},
author = {Baars, W. J. and Tinney, C. E.},
url = {https://meetings.aps.org/Meeting/DFD12/Session/D24.8}
}
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