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Diffuse holographic interferometric observation of shock wave reflection from a skewed wedge

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Abstract

The pattern of shock wave reflection over a wedge is, in general, either a regular reflection or a Mach reflection, depending on wedge angles, shock wave Mach numbers, and specific heat ratios of gases. However, regular and Mach reflections can coexist, in particular, over a three-dimensional wedge surface, whose inclination angles locally vary normal to the direction of shock propagation. This paper reports a result of diffuse double exposure holographic interferometric observations of shock wave reflections over a skewed wedge surface placed in a 100 × 180 mm shock tube. The wedge consists of a straight generating line whose local inclination angle varies continuously from 30° to 60°. Painting its surface with fluorescent spray paint and irradiating its surface with a collimated object beam at a time interval of a few microseconds, we succeeded in visualizing three-dimensional shock reflection over the skewed wedge surface. Experiments were performed at shock Mach numbers, 1.55, 2.02, and 2.53 in air. From reconstructed holographic images, we estimated critical transition angles at these shock wave Mach numbers and found that these were very close to those over straight wedges. This is attributable to the flow three-dimensionality.

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References

  1. Ben-Dor G., Takayama K.: The phenomena of shock wave reflection—a review of unsolved problems and future research needs. Shock Waves 2, 211–223 (1992)

    Article  Google Scholar 

  2. Ben-Dor G.: Shock Wave Reflection Phenomena, 2nd edn. Springer, New York (2007)

    MATH  Google Scholar 

  3. Takayama K., Sasaki M.: Effects 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. Takayama K., Sekiguchi H.: An experiment on shock diffraction by cones. Rep. Inst. High Speed Mech. Tohoku Univ. 36, 53–74 (1977)

    Google Scholar 

  5. Yang M.-J., Sasoh A., Takayama K.: The reflection of a shock wave over a cone. Shock Waves 6, 267–273 (1996)

    Article  Google Scholar 

  6. Kuribayashi T., Ohtani K., Takayama K., Menezes V., Sun M., Saito T.: Heat flux measurement over a cone in a shock tube flow. Sock Waves 16, 275–285 (2007)

    Article  Google Scholar 

  7. Watanabe, M., Takayama, K.: Study of reflected shock wave transition over a cone with an angle of attack. In: 1993 Japanese Shock Wave Symp. Sendai, pp. 689–692 (1993). This paper is available in ISWI Proceedings Archive 2007, which contains Japanese Shock Wave Symposium since 1989 offered by ITOCHU Techno Solutions

  8. Timofeev, E., Voinovich, P., Saito, T., Takayama, K.: Three- dimensional unsteady reflection of a planar shock wave from an inclined cylinder. In: Proceedings of International Symposium on Interdisciplinary Shock Wave Research, ISISW, Matsushima, Japan, pp. 498–517 (2004). This paper is available in ISWI Proceedings Archive 2007

  9. Ohtomo T., Ohtani K., Takayama K.: Attenuation of shock waves propagating over arrayed baffle plate. Shock Waves 14, 379–390 (2005)

    Article  Google Scholar 

  10. Takayama, K., Gotoh, J., Ben-Dor, G.: Influence of surface roughness on the shock wave transition in quasi-stationary and truly non-stationary flows. In: Treanor, C.E., Hall, J.G. (eds.) Shock Tubes and Waves, Proceedings of 13th International Symposium on Shock Tubes and Waves, pp. 326–334 (1981)

  11. Meguro T., Takayama K., Onodera O.: Three-dimensional shock wave reflection over a corner of two intersecting wedges. Shock Waves 7, 107–121 (1997)

    Article  Google Scholar 

  12. 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)

    Article  Google Scholar 

  13. Smith, L.G.: Photographic investigation of the reflection of plane shocks in air. Off. Sci.Res. Dev. OSSRD Rep 6271, Washington, DC (1945)

  14. Takayama K., Ben-Dor G., Gotoh J.: Regular to Mach reflection transition in truly non-stationary flows—influence of surface roughness. AIAA J. 19, 1238–1240 (1981)

    Article  Google Scholar 

  15. Reichenbach H.: Contributions of Ernst Mach to fluid mechanics . Ann. Rev. Fluid Mech. 15, 1–29 (1983)

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Graduate School of Engineering, Department of Aerospace Engineering, Tohoku University, 6-6-01, Aramaki Aza Aoba, Aoba, Sendai, 980-8577, Japan

    D. Numata

  2. Shock Wave Interdisciplinary Application Division, Institute of Fluid Science, Tohoku University, 2-1-1, Katahira, Aoba, Sendai, 980-8577, Japan

    K. Ohtani & K. Takayama

Authors
  1. D. Numata
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  2. K. Ohtani
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  3. K. Takayama
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Correspondence to D. Numata.

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Communicated by B. Skews and C. Needham.

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Numata, D., Ohtani, K. & Takayama, K. Diffuse holographic interferometric observation of shock wave reflection from a skewed wedge. Shock Waves 19, 103–112 (2009). https://doi.org/10.1007/s00193-009-0204-z

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  • DOI: https://doi.org/10.1007/s00193-009-0204-z

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