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- W2328275057 abstract "Shock cell noise is generated by the interaction of the turbulence in a supersonic jet flow with the shock-cell structure. Harper-Bourne & Fisher (1974) introduced a phased-array model of simple sources to interpret their experimental data. This model was successful in explaining many features of the observed data. They also proposed a semi-empirical formula to predict the noise spectra of the broadband shock-associated noise. Tam & Tanna (1982) pointed out some limitations of Harper-Bourne & Fisher’s simple source array model and proposed an alternate physical mechanism for shock-cell noise radiation. They modeled the sound generation to occur because of the non-linear interaction between the organized large-scale instability waves in the jet and the shock cell structure. This interaction occurred over an extended region of the jet and gave rise to the directionallydependent radiation and was interpreted as upstream directed Mach wave radiation. This physical model was given a mathematical basis by Tam (1987) who proposed a simple semi-empirical shock-cell noise prediction formula based on this model. This formula was further refined by Tam (1990) and represents the current state of the art in shock cell noise prediction. In the present work a sequence of phased array models of sound sources are considered. These range from extensions of the Harper-Bourne & Fisher (HB-F) class of phased arrays of localized sources, to the spatially-extensive phased-array model inherent in Tam’s theory. The focus is on the radiation properties of these source arrays. It is shown that Tam’s Mach wave radiation model can be interpreted as a distributed phased-array of noise sources. This interpretation allows a rationalization of some modeling assumptions in Tam’s semiempirical formula for predicting broadband shock-cell noise. It also offers new insights into the scaling properties of the radiated noise and suggests ways in which Tam’s model can be extended. An extended version of the distributed phased array model is proposed. It uses a more general wave-packet to represent the large-scales of jet turbulence. The consequences of the extended model are assessed for the scaling of the peak noise frequency, and the spectral shape of the radiated noise. Also included is a comparison of noise predictions from HB-F type model, and Tam’s model with experimental data." @default.
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- W2328275057 date "2005-05-23" @default.
- W2328275057 modified "2023-10-14" @default.
- W2328275057 title "Phased Array Models of Shock-cell Noise Sources" @default.
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- W2328275057 doi "https://doi.org/10.2514/6.2005-2841" @default.
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