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Receptivity of hypersonic boundary layer due to fast-slow acoustics interaction

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Abstract

The objective of receptivity is to investigate the mechanisms by which external disturbances generate unstable waves. In hypersonic boundary layers, a new receptivity process is revealed, which is that fast and slow acoustics through nonlinear interaction can excite the second mode near the lower-branch of the second mode. They can generate a sum-frequency disturbance though nonlinear interaction, which can excite the second mode. This receptivity process is generated by the nonlinear interaction and the nonparallel nature of the boundary layer. The receptivity coefficient is sensitive to the wavenumber difference between the sum-frequency disturbance and the lower-branch second mode. When the wavenumber difference is zero, the receptivity coefficient is maximum. The receptivity coefficient decreases with the increase of the wavenumber difference. It is also found that the evolution of the sum-frequency disturbance grows linearly in the beginning. It indicates that the forced term generated by the sum-frequency disturbance resonates with the second mode.

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Acknowledgments

The project was supported by the National Natural Science Foundation of China (Grants 11332007 and 11202147) and the Specialized Research Fund for the Doctoral Program of Higher Education (Grants 20120032120007).

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Authors and Affiliations

  1. Department of Mechanics, Tianjin University, Tianjin, 300072, China

    Jun Gao, Ji-Sheng Luo & Xue-Song Wu

  2. Department of Mathematics, Imperial College London, London, SW7 2AZ, UK

    Xue-Song Wu

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  1. Jun Gao
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  2. Ji-Sheng Luo
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Correspondence to Ji-Sheng Luo.

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Gao, J., Luo, JS. & Wu, XS. Receptivity of hypersonic boundary layer due to fast-slow acoustics interaction. Acta Mech. Sin. 31, 899–909 (2015). https://doi.org/10.1007/s10409-015-0504-8

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  • DOI: https://doi.org/10.1007/s10409-015-0504-8

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