### Abstract

An acoustic analogy is developed based on the Euler equations for broadband shock- associated noise (BBSAN) that directly incorporates the vector Green's function of the lin- earized Euler equations and a steady Reynolds-Averaged Navier-Stokes solution (SRANS) as the mean flow. The vector Green's function allows the BBSAN propagation through the jet shear layer to be determined. The large-scale coherent turbulence is modeled by two-point second order velocity cross-correlations. Turbulent length and time scales are related to the turbulent kinetic energy and dissipation. An adjoint vector Green's function solver is implemented to determine the vector Green's function based on a locally parallel mean flow at streamwise locations of the SRANS solution. However, the developed acous- tic analogy could easily be based on any adjoint vector Green's function solver, such as one that makes no assumptions about the mean flow. The newly developed acoustic anal- ogy can be simplied to one that uses the Green's function associated with the Helmholtz equation, which is consistent with the formulation of Morris and Miller (AIAAJ 2010). A large number of predictions are generated using three different nozzles over a wide range of fully expanded Mach numbers and jet stagnation temperatures. These predictions are compared with experimental data from multiple jet noise labs. In addition, two models for the so-called ne-scale mixing noise are included in the comparisons. Improved BB- SAN predictions are obtained relative to other models that do not include the propagation effects, especially in the upstream direction of the jet.

Original language | English (US) |
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Title of host publication | 17th AIAA/CEAS Aeroacoustics Conference 2011 (32nd AIAA Aeroacoustics Conference) |

State | Published - Dec 1 2011 |

Event | 17th AIAA/CEAS Aeroacoustics Conference 2011 (32nd AIAA Aeroacoustics Conference) - Portland, OR, United States Duration: Jun 5 2011 → Jun 8 2011 |

### Publication series

Name | 17th AIAA/CEAS Aeroacoustics Conference 2011 (32nd AIAA Aeroacoustics Conference) |
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### Other

Other | 17th AIAA/CEAS Aeroacoustics Conference 2011 (32nd AIAA Aeroacoustics Conference) |
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Country | United States |

City | Portland, OR |

Period | 6/5/11 → 6/8/11 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Aerospace Engineering
- Electrical and Electronic Engineering
- Acoustics and Ultrasonics

### Cite this

*17th AIAA/CEAS Aeroacoustics Conference 2011 (32nd AIAA Aeroacoustics Conference)*(17th AIAA/CEAS Aeroacoustics Conference 2011 (32nd AIAA Aeroacoustics Conference)).

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*17th AIAA/CEAS Aeroacoustics Conference 2011 (32nd AIAA Aeroacoustics Conference).*17th AIAA/CEAS Aeroacoustics Conference 2011 (32nd AIAA Aeroacoustics Conference), 17th AIAA/CEAS Aeroacoustics Conference 2011 (32nd AIAA Aeroacoustics Conference), Portland, OR, United States, 6/5/11.

**The prediction of broadband shock-associated noise including propagation effects.** / Miller, Steven A.E.; Morris, Philip John.

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

TY - GEN

T1 - The prediction of broadband shock-associated noise including propagation effects

AU - Miller, Steven A.E.

AU - Morris, Philip John

PY - 2011/12/1

Y1 - 2011/12/1

N2 - An acoustic analogy is developed based on the Euler equations for broadband shock- associated noise (BBSAN) that directly incorporates the vector Green's function of the lin- earized Euler equations and a steady Reynolds-Averaged Navier-Stokes solution (SRANS) as the mean flow. The vector Green's function allows the BBSAN propagation through the jet shear layer to be determined. The large-scale coherent turbulence is modeled by two-point second order velocity cross-correlations. Turbulent length and time scales are related to the turbulent kinetic energy and dissipation. An adjoint vector Green's function solver is implemented to determine the vector Green's function based on a locally parallel mean flow at streamwise locations of the SRANS solution. However, the developed acous- tic analogy could easily be based on any adjoint vector Green's function solver, such as one that makes no assumptions about the mean flow. The newly developed acoustic anal- ogy can be simplied to one that uses the Green's function associated with the Helmholtz equation, which is consistent with the formulation of Morris and Miller (AIAAJ 2010). A large number of predictions are generated using three different nozzles over a wide range of fully expanded Mach numbers and jet stagnation temperatures. These predictions are compared with experimental data from multiple jet noise labs. In addition, two models for the so-called ne-scale mixing noise are included in the comparisons. Improved BB- SAN predictions are obtained relative to other models that do not include the propagation effects, especially in the upstream direction of the jet.

AB - An acoustic analogy is developed based on the Euler equations for broadband shock- associated noise (BBSAN) that directly incorporates the vector Green's function of the lin- earized Euler equations and a steady Reynolds-Averaged Navier-Stokes solution (SRANS) as the mean flow. The vector Green's function allows the BBSAN propagation through the jet shear layer to be determined. The large-scale coherent turbulence is modeled by two-point second order velocity cross-correlations. Turbulent length and time scales are related to the turbulent kinetic energy and dissipation. An adjoint vector Green's function solver is implemented to determine the vector Green's function based on a locally parallel mean flow at streamwise locations of the SRANS solution. However, the developed acous- tic analogy could easily be based on any adjoint vector Green's function solver, such as one that makes no assumptions about the mean flow. The newly developed acoustic anal- ogy can be simplied to one that uses the Green's function associated with the Helmholtz equation, which is consistent with the formulation of Morris and Miller (AIAAJ 2010). A large number of predictions are generated using three different nozzles over a wide range of fully expanded Mach numbers and jet stagnation temperatures. These predictions are compared with experimental data from multiple jet noise labs. In addition, two models for the so-called ne-scale mixing noise are included in the comparisons. Improved BB- SAN predictions are obtained relative to other models that do not include the propagation effects, especially in the upstream direction of the jet.

UR - http://www.scopus.com/inward/record.url?scp=84883056666&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84883056666&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84883056666

SN - 9781600869433

T3 - 17th AIAA/CEAS Aeroacoustics Conference 2011 (32nd AIAA Aeroacoustics Conference)

BT - 17th AIAA/CEAS Aeroacoustics Conference 2011 (32nd AIAA Aeroacoustics Conference)

ER -