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Analytical solution of flow field for weak Mach reflection over plane surface

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Abstract

Concerned here with the analytical solution of flow field of single weak Mach reflection caused by an advancing plane shock wave over a simple wedge surface. We develop an improvement of Lighthill’s linearized theory in the correction due to the non-linearity of the flow field through a singular perturbation. Obtained expressions including the one for the triple point path are compared resonably well with existing experimental, computational and theoretical results.

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References

  1. Adachi, et al.: ‘Benchmark Test of Reflection of Weak Shock Waves from Wedges’. In: Proc. 21st Int. Symp on Shock Waves, 1997, (Panther Publishing, Australia 1997) pp. 883–840

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  2. M.J. Lighthill: The diffraction of blast 1, Proc. Roy. Soc. A 198, 454 (1949)

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Author information

Authors and Affiliations

  1. Tokyo Denkt University, Tokyo, 101-8457, Japan

    A. Sakurai

  2. Iwaki Meisei University, Fukushima, 970-8551, Japan

    F. Takayama

Authors
  1. A. Sakurai
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  2. F. Takayama
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Editor information

Editors and Affiliations

  1. Key Laboratory of High-Temperature Gas Dynamics Institute of Mechanics, Chinese Academy of Sciences, 15 Bei Si Huan Xi Rd., Beijing, 100080, P.R. China

    Z. Jiang

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© 2005 Tsinghua University Press and Springer-Verlag Berlin Heidelberg

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Sakurai, A., Takayama, F. (2005). Analytical solution of flow field for weak Mach reflection over plane surface. In: Jiang, Z. (eds) Shock Waves. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27009-6_69

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  • DOI: https://doi.org/10.1007/978-3-540-27009-6_69

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22497-6

  • Online ISBN: 978-3-540-27009-6

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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