“…It is then natural to develop a combination of these two schemes whereby the non-linear propagation and attenuation are described in the time domain whilst the liner absorption is modelled in the frequency domain. This is referred to as the hybrid approach [6] or a modified weak-shock theory [18]. This strategy is now described and verified.…”
Section: Time-frequency Domain Methodsmentioning
confidence: 99%
“…They are then scaled based on the attenuation rate of the corresponding acoustic duct modes [18,25,26] to give:…”
Section: B Frequency-domain Liner Absorption Implementationmentioning
confidence: 99%
“…Modified weak-shock theory [18] is the basis of the nonlinear propagation model. A hybrid algorithm is used to implement weak-shock theory [3,4,11,19] to model the nonlinear propagation in the time domain, combined with linear duct acoustics theory to model absorption by an acoustic liner in the frequency domain.…”
Supersonic fan tones are a critical issue for large fans; it is well known that these tones are a key noise source at high power operating conditions for modern turbofan aero-engines. Nonlinear propagation of the rotor-locked pressure field generated in a turbofan intake duct is calculated by implementing nonlinear weak-shock theory numerically via a combined time-frequency domain algorithm. The aim of the prediction method is to model the nonlinear attenuation and liner absorption of the rotor-locked pressure field within the intake duct. In this hybrid method, the time-domain approach provides a robust and accurate prediction of the non-linear attenuation while the fre-
“…It is then natural to develop a combination of these two schemes whereby the non-linear propagation and attenuation are described in the time domain whilst the liner absorption is modelled in the frequency domain. This is referred to as the hybrid approach [6] or a modified weak-shock theory [18]. This strategy is now described and verified.…”
Section: Time-frequency Domain Methodsmentioning
confidence: 99%
“…They are then scaled based on the attenuation rate of the corresponding acoustic duct modes [18,25,26] to give:…”
Section: B Frequency-domain Liner Absorption Implementationmentioning
confidence: 99%
“…Modified weak-shock theory [18] is the basis of the nonlinear propagation model. A hybrid algorithm is used to implement weak-shock theory [3,4,11,19] to model the nonlinear propagation in the time domain, combined with linear duct acoustics theory to model absorption by an acoustic liner in the frequency domain.…”
Supersonic fan tones are a critical issue for large fans; it is well known that these tones are a key noise source at high power operating conditions for modern turbofan aero-engines. Nonlinear propagation of the rotor-locked pressure field generated in a turbofan intake duct is calculated by implementing nonlinear weak-shock theory numerically via a combined time-frequency domain algorithm. The aim of the prediction method is to model the nonlinear attenuation and liner absorption of the rotor-locked pressure field within the intake duct. In this hybrid method, the time-domain approach provides a robust and accurate prediction of the non-linear attenuation while the fre-
“…attenuation of the fundamental due to nonlinear effects may be expressed as the ratio (in decibels) of the fundamental amplitude p 1 to the combined (2)(3)(4)(5)(6)(7)(8) where J is the nth order Bessel function of the first kind. In the n sawtooth region ( 3~a~a max ) the weak shock result is…”
Section: Appendicesmentioning
confidence: 99%
“…175 of Ref. 6. The accumulated propagation distance pr ior to calling the subroutine is required for the calculation.…”
Section: Our Version Of the Computer Program Is Not Included In Thismentioning
One issue of interest pertaining to the development of a numerical model applicable to the nonlinear propagation of jet noise is the behavior of spectral predictions at large distances. In this study, a recorded noise waveform from a military jet aircraft is numerically propagated via a hybrid time-frequency domain solution to the generalized Burgers equation that incorporates spherical spreading and atmospheric absorption and dispersion. Numerical results show that the spatial rate of change of the difference between the nonlinearly-and linearlypredicted power spectra appears to approach constant nonzero behavior at high frequencies. This asymptotic relationship is analogous to that predicted by analytical theory for initiallysinusoidal plane and spherical waves.
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