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Study on Mach stems induced by interaction of planar shock waves on two intersecting wedges

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Abstract

The properties of Mach stems in hypersonic corner flow induced by Mach interaction over 3D intersecting wedges were studied theoretically and numerically. A new method called “spatial dimension reduction” was used to analyze theoretically the location and Mach number behind Mach stems. By using this approach, the problem of 3D steady shock/shock interaction over 3D intersecting wedges was transformed into a 2D moving one on cross sections, which can be solved by shock-polar theory and shock dynamics theory. The properties of Mach interaction over 3D intersecting wedges can be analyzed with the new method, including pressure, temperature, density in the vicinity of triple points, location, and Mach number behind Mach stems. Theoretical results were compared with numerical results, and good agreement was obtained. Also, the influence of Mach number and wedge angle on the properties of a 3D Mach stem was studied.

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Acknowledgments

The project was supported by the National Natural Science Foundation of China (Grants 11372333, 90916028).

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Authors and Affiliations

  1. Institute of Mechanics, Chinese Academy of Sciences, No.15 Beisihuan Xi Road, Beijing, 100190, China

    Gaoxiang Xiang, Chun Wang, Honghui Teng, Yang Yang & Zonglin Jiang

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  1. Gaoxiang Xiang
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  2. Chun Wang
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  3. Honghui Teng
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  4. Yang Yang
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  5. Zonglin Jiang
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Correspondence to Chun Wang.

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Xiang, G., Wang, C., Teng, H. et al. Study on Mach stems induced by interaction of planar shock waves on two intersecting wedges. Acta Mech. Sin. 32, 362–368 (2016). https://doi.org/10.1007/s10409-015-0498-2

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  • DOI: https://doi.org/10.1007/s10409-015-0498-2

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