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- W4282568644 abstract "In this paper, we develop an analytical model to study the sound produced by the interaction between shock and instability waves in supersonic round jets. We use a vortex sheet to model the jet flow and Euler equations to determine the governing equations for shock, instability waves, and their interactions, respectively. Pack's model is used to describe shock waves, while instability waves are calculated using spatial stability analysis. The interaction between shock and instability waves is calculated by solving an inhomogeneous wave equation and matching kinematic and dynamic conditions on the vortex sheets. The resulting equation can be solved analytically by performing Fourier Transform and subsequently using the method of steepest descent. We find that the directivity patterns in our prediction, even from one-cell interaction, are in good agreement with both the experimental data and numerical results. In particular, we show that the intensity of the screeching tone experiences a quick decay as the observer angle approaches 180 degrees, which is in better agreement with the experimental data measured by Norum (1983) than the monopole-array theory proposed by Powell (1953). This indicates that the sound source due to interactions between shock and instability waves may not be of the monopole type. We show that noise is generated primarily through the Mach wave mechanism." @default.
- W4282568644 created "2022-06-14" @default.
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- W4282568644 date "2022-06-13" @default.
- W4282568644 modified "2023-09-27" @default.
- W4282568644 title "Acoustic emission due to the interaction between shock and instability waves in supersonic jet flow from a circular nozzle" @default.
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- W4282568644 doi "https://doi.org/10.2514/6.2022-3029" @default.
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