### Abstract

Prediction schemes based on linear acoustics are often insufficient to describe the character of the noise radiated from a jet engine. Nonlinear evolution of jet noise is usually identified using linear extrapolation and spectral comparisons. Because it requires measurements at multiple locations, this method is susceptible to errors in the presence of ground reflections or meteorological effects, when the location of the source is uncertain, and in the near-field of the jet. Thus, an indicator of nonlinearity that can be derived from a measurement at a single point is desirable. This work introduces one such indicator based on a quantity found in a spectral Burgers equation derived by Morfey and Howell [AIAA J. 19, 986-992 (1981)]. The quantity, denoted Q _{p2p} and commonly referred to as the QSD, is related to the nonlinear evolution of the signal. The indicator discussed here is a normalization of the QSD that assesses the relative importance of nonlinear, absorption, and spreading effects. For this reason, it is referred to as the spectral Gol'dberg number and is denoted Γ_{s}. It is applied to model-scale jet signatures and is shown to have larger values for higher jet Mach numbers and peak radiation angles relative to the jet axis.

Original language | English (US) |
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Title of host publication | Nonlinear Acoustics - Fundamentals and Applications - ISNA18 - 18th International Symposium on Nonlinear Acoustics |

Pages | 381-384 |

Number of pages | 4 |

Volume | 1022 |

DOIs | |

State | Published - Aug 15 2008 |

Event | 18th International Symposium on Nonlinear Acoustics, ISNA18 - Stockholm, Sweden Duration: Jul 7 2008 → Jul 10 2008 |

### Other

Other | 18th International Symposium on Nonlinear Acoustics, ISNA18 |
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Country | Sweden |

City | Stockholm |

Period | 7/7/08 → 7/10/08 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*Nonlinear Acoustics - Fundamentals and Applications - ISNA18 - 18th International Symposium on Nonlinear Acoustics*(Vol. 1022, pp. 381-384) https://doi.org/10.1063/1.2956236

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*Nonlinear Acoustics - Fundamentals and Applications - ISNA18 - 18th International Symposium on Nonlinear Acoustics.*vol. 1022, pp. 381-384, 18th International Symposium on Nonlinear Acoustics, ISNA18, Stockholm, Sweden, 7/7/08. https://doi.org/10.1063/1.2956236

**Single-point nonlinearity indicators for the propagation of high-amplitude jet noise.** / Falco, Lauren E.; Atchley, Anthony A.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Single-point nonlinearity indicators for the propagation of high-amplitude jet noise

AU - Falco, Lauren E.

AU - Atchley, Anthony A.

PY - 2008/8/15

Y1 - 2008/8/15

N2 - Prediction schemes based on linear acoustics are often insufficient to describe the character of the noise radiated from a jet engine. Nonlinear evolution of jet noise is usually identified using linear extrapolation and spectral comparisons. Because it requires measurements at multiple locations, this method is susceptible to errors in the presence of ground reflections or meteorological effects, when the location of the source is uncertain, and in the near-field of the jet. Thus, an indicator of nonlinearity that can be derived from a measurement at a single point is desirable. This work introduces one such indicator based on a quantity found in a spectral Burgers equation derived by Morfey and Howell [AIAA J. 19, 986-992 (1981)]. The quantity, denoted Q p2p and commonly referred to as the QSD, is related to the nonlinear evolution of the signal. The indicator discussed here is a normalization of the QSD that assesses the relative importance of nonlinear, absorption, and spreading effects. For this reason, it is referred to as the spectral Gol'dberg number and is denoted Γs. It is applied to model-scale jet signatures and is shown to have larger values for higher jet Mach numbers and peak radiation angles relative to the jet axis.

AB - Prediction schemes based on linear acoustics are often insufficient to describe the character of the noise radiated from a jet engine. Nonlinear evolution of jet noise is usually identified using linear extrapolation and spectral comparisons. Because it requires measurements at multiple locations, this method is susceptible to errors in the presence of ground reflections or meteorological effects, when the location of the source is uncertain, and in the near-field of the jet. Thus, an indicator of nonlinearity that can be derived from a measurement at a single point is desirable. This work introduces one such indicator based on a quantity found in a spectral Burgers equation derived by Morfey and Howell [AIAA J. 19, 986-992 (1981)]. The quantity, denoted Q p2p and commonly referred to as the QSD, is related to the nonlinear evolution of the signal. The indicator discussed here is a normalization of the QSD that assesses the relative importance of nonlinear, absorption, and spreading effects. For this reason, it is referred to as the spectral Gol'dberg number and is denoted Γs. It is applied to model-scale jet signatures and is shown to have larger values for higher jet Mach numbers and peak radiation angles relative to the jet axis.

UR - http://www.scopus.com/inward/record.url?scp=49149098183&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=49149098183&partnerID=8YFLogxK

U2 - 10.1063/1.2956236

DO - 10.1063/1.2956236

M3 - Conference contribution

SN - 9780735405448

VL - 1022

SP - 381

EP - 384

BT - Nonlinear Acoustics - Fundamentals and Applications - ISNA18 - 18th International Symposium on Nonlinear Acoustics

ER -