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Computational study of planar shock wave interacting with elliptical heavy gas bubble

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Abstract

High-precision numerical methods are utilized to study the shock waves interacting with an elliptical heavy bubble. The influence of different bubble gases (SF\(_6\) and R22) and shock intensities (\(Ma=1.21\) and \(Ma=2.1\)) is analyzed qualitatively and quantitatively. The results show that the focusing position is farther from the right bubble interface in the SF\(_6\) bubble (case 1) than in the R22 bubble (case 2) when \(Ma=1.21\); thus, case 2 exhibits an outward jet structure, while case 1 does not. When \(Ma=2.1\) (case 3), the shock wave propagates faster, and the shock focusing is nearer to the right bubble interface. Finally, outward jet structures form on the bubble interfaces. The maximum values of density and pressure of shock focusing are different in the three cases, which imply that different gas densities and shock intensities significantly affect the shock–bubble interaction. The effective bubble volume and gases mixing degree are both smaller in case 2 than in case 1, but the trends over time are essentially the same. The increased shock intensity in case 3 leads to a smaller effective bubble volume than in case 1, but a much greater gases mixing degree. In all three cases, the compression term plays a more important role in the vorticity development than the other terms.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 11872193), and the Youth Talent Cultivation Plan of Jiangsu University.

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Authors and Affiliations

  1. School of Energy and Power Engineering, Jiangsu University, Zhenjiang, 212013, China

    Zhiwei Yang & Yuejin Zhu

  2. China Aerodynamics Research and Development Center, Mianyang, 621000, China

    Zhiwei Yang

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  1. Zhiwei Yang
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  2. Yuejin Zhu
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Correspondence to Yuejin Zhu.

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Communicated by Executive Editor: Jianqiang Chen.

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Yang, Z., Zhu, Y. Computational study of planar shock wave interacting with elliptical heavy gas bubble. Acta Mech. Sin. 37, 1264–1277 (2021). https://doi.org/10.1007/s10409-021-01085-z

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  • DOI: https://doi.org/10.1007/s10409-021-01085-z

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