Scale Effects on the Transition of Reflected Shock Waves

  • Kazuyoshi Takayama
  • Atsushi Abe
  • Mikhail Chernyshov
Conference paper


This is a summary of shock tube experiments performed at the Tohoku University from 1975 to 2005. Critical transition angles of reflected shock waves over concave and convex walls of radii from 20 to 300 mm were experimentally obtained and compared with the numerical simulation based on the Navier–Stokes equations. The experimental critical transition angles varied with the radii of curved walls and strongly affected by the presence of the boundary layer developing along curved walls. The effects of critical transition on shock wave dynamic, shock wave reflection from roughened wedges, double wedges, and shock focusing from curved walls were presented.


  1. 1.
    von Neumann, R., Friedrichs, K.O.: Supersonic Flow and Shock Waves. Wiley Int. Sci. (1948)Google Scholar
  2. 2.
    Ben-Dor, G.: Shock Wave Reflection Phenomena. Springer (1992)Google Scholar
  3. 3.
    Takayama, K., Sasaki, M.: Effect of radius of curvature and initial angle on the shock transition over concave or convex walls. Rep. Inst. High-Speed Mech. Tohoku Univ. 46, 1–30 (1983)Google Scholar
  4. 4.
    Takayama, K., Honda, M., Onodera, O., Kawauchi, T.: Experimental study of shock reflection from curved walls. Mom Inst High Speed Mech. Tohoku Univ. 44, 1–37 (1980) (in Japanese)Google Scholar
  5. 5.
    Takayama, K., Onodera, O., Gotoh, J.: Shock wave reflection over curved walls with surface roughness. Mem. Inst. High Speed Mech. Tohoku Univ. 48, 1–21 (1980) (in Japanese)Google Scholar
  6. 6.
    Henderson, L.F., Crutchfield, W.Y., Virgona, R.J.: The effects of heat conductivity and viscosity of argon on shock wave diffracting over rigid ramps. JFM 331, 1–49 (1997)CrossRefGoogle Scholar
  7. 7.
    Henderson, L.F., Takayama, K., Crutchfield, W.Y., Itabashi, S.: The persistence of regular reflection during strong shock diffraction over rigid ramps. J. Fluid Mech. 431, 273–296 (2001)CrossRefzbMATHGoogle Scholar
  8. 8.
    Itabashi, H.: The effect of viscosity and thermal conductivity on the transition of shock waves on wedges. Master thesis, Graduate School of Tohoku University, Faculty of Engineering (1998)Google Scholar
  9. 9.
    Takayama, K., Watanabe, W.: Shock reflection over a concave wall; double exposure holographic observation. Mom Inst. High Speed Mech. Tohoku Univ. 45, 1–33 (1980) (in Japanese)Google Scholar
  10. 10.
    Komuro, R., Inoue, O., Takayama, K.: Study of shock wave reflection over double wedges. In: Proceedings of the JSSW, pp. 599–604 (1989)Google Scholar
  11. 11.
    Komuro, R.: Shock wave reflection over a double wedge. Master thesis, Graduate School of Tohoku University, Faculty of Engineering (1989)Google Scholar
  12. 12.
    Takayama, K., Igra, O.: Professor I.I. Glass A tribute and Memorial. Springer (2013)Google Scholar
  13. 13.
    Takayama, K.: Application of holographic interferometry to shock wave research. Proc. SPIE 398, 174–180 (1983)CrossRefGoogle Scholar
  14. 14.
    Bazhenova, T., et al.: Shock waves and real gases, NASA TIF 565 (1969)Google Scholar
  15. 15.
    Sun, M., Saito, T., Takayama, K., Tanno, H.: Unsteady drag on a sphere by shock wave loading. Shock Waves 14, 3–9 (2005)CrossRefzbMATHGoogle Scholar
  16. 16.
    Liepmann, H., Roshko, A.: Element of Gasdynamcs. Wiley (1956)Google Scholar
  17. 17.
    Whitham, G.B.: A new approach of shock dynamics. Part 2 3D problems 5, 369–375 (1959)Google Scholar
  18. 18.
    Takayama, K., Gotoh, J., Ben-Dor, G.: Influence of surface roughness on the shock transition in quasi-stationary and truly non-stationery flows. In: Proceedings of the 12th ISSW, pp. 326–334 (1981)Google Scholar
  19. 19.
    Smith, L.G.: Photographic investigation of plane shocks in air. OSRD Rep 6271, Off Sci Res Div., Washington DC (1948)Google Scholar
  20. 20.
    Takayama, K., Sekiguchi, H.: An experiment on shock eave diffraction by cone. Rep. Inst. High Speed Mech. Tohoku Univ. 36, 36–53 (1977)Google Scholar
  21. 21.
    Yang, J., Sasoh, A., Takayama, K.: The Sock Reflection over a Cone, SW, vol. 6, pp. 267–273 (1996)Google Scholar
  22. 22.
    Kosugi, T., Mitobe, H., Takayama, K., Kitade, M.: Shock wave reflection over rigid wedges and cones. In: Proceedings of the 22nd ISSW, pp. 1279–1284 (1999)Google Scholar
  23. 23.
    Krasovskaya, I.: Private Communication (2015)Google Scholar
  24. 24.
    Sturtevant, B., Kulkarny, V.A.: The focusing of weak shock waves. J. Fluid Mech. 73, 651–671 (1976)CrossRefGoogle Scholar
  25. 25.
    Kitade, M.: Numerical and experimental study of delayed transition of Mach reflection over curved walls and cones. Master thesis, Graduate School of Tohoku University, Faculty of Engineering (2001)Google Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Kazuyoshi Takayama
    • 1
  • Atsushi Abe
    • 2
  • Mikhail Chernyshov
    • 3
  1. 1.Tohoku UniversitySendaiJapan
  2. 2.Science & Engineering Analysis DepartmentITOCHU Techno-Solutions CorporationTokyoJapan
  3. 3.Peter the Great St. Petersburg Polytechnique UniversitySt. PetersburgRussia

Personalised recommendations