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Formation mechanism of the reflected shock wave over curved surfaces.

Research Project

Project/Area Number 08650220
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fluid engineering
Research InstitutionSaitama Institute of Technology

Principal Investigator

KOBAYASHI Susumu  Saitama lnst.Tech., Dept.Mech.Engng., Ass. Prof., 工学部, 助教授 (10170325)

Co-Investigator(Kenkyū-buntansha) SUZUKI Tateyuki  Toyama Pref.Uhiv., Dept. Mech.Sys.Engng., Prof., 工学部, 教授 (20118665)
ADACHI Takashi  saitama lnst.Tech., Dept.Mech.Engng., Prof., 工学部, 教授 (30118658)
Project Period (FY) 1996 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1997: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1996: ¥1,500,000 (Direct Cost: ¥1,500,000)
Keywordsshock wave / reflection phenomena / unsteady reflection / formtion mechanism / tramsition wedge angle / weak shock wave
Research Abstract

Shock reflection phenomena over curved surfaces have been investigated both experimentally and theoretically. The models used in this experiment are ordinary circular cylindrical concave and convex wedges and step-like models which simulate the former. The step-like models were used to investigate the process of reflected wave formation over circular cylindrical wedges. The present experimental method by use of step-like models are dubbed method of multiple steps by our research group.
The reflected wave structure has been photographed with a schlieren apparatus. The formation mechanism of the reflected wave over circular cylindrical wedges is physically well understood by comparing it with shock reflection over step-like models. In particular, the reason why the reflected wave over a concave circular cylindrical wedge is very weak away fl.om the reflection point is elucidated. Moreover the structure and the formation mechanism of the so-called transitioned regular reflection (TRR) are illustrated in detail. By considering the behavior of the compression wave issued from the step, an analytical formula for the transition wedge angle is proposed and found in good agreement with thc experiment.
We were also interested in the effect of some parameters (initial wedge angle, incident shock Mach number and radius of curvature) over the transition wedge angle. The experiment has been performed to investigate such effects. When the initial wedge angle of the concave wedge increases, the analytical formula derived for zero initial wedge angle does not give the correct value. A theoretical method to calculate transition wedge angle was proposed and in good agreement with experiment. Comparison with another method shows this is a far better method for predicting the transition wedge angle.

Report

(3 results)
  • 1997 Annual Research Report   Final Research Report Summary
  • 1996 Annual Research Report
  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] S.Kobayashi: "The shock reflection process over a non-straight surface." Proceedings of the 20th International Symposium in Shock Waves. 1. 429-434 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] T.Suzuki: "Nonstationary shock reflection over non-straight surfaces:an approach with amethod of multiple steps." Shock Wave. 7. 55-62 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] S.Kobayashi: "On the formation mechanism of von Neumann reflection." Proceedings of the 21st International Symposium on Shock Waves(印刷中).(1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] T.Adachi: "Unsteady shock reflection:influence of initial wedge angle." Proceedings of the 21st International Symposium on Shock Waves(印刷中).(1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] S.Kobayashi, T.Adachi, T.Suzuki: "The shock reflection process over a non-straight surface" Proceedings oflhe 20th International Symposium on Shock Waves, vol.1, World Scientific Publishing. 429-434 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] T.Suzuki, T.Adachi, S.Kobayashi: "Nonstationary shock reflection over non-straight surfaces : an approach with a method of multiple steps." Shock Waves. 7. 55-62 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] S.Kobayashi, T.Adachi, M.Satoh, T.Suzuki: "On the formation mechanism of von Neumann refletion" Proceedings of the 21st International Symposium on Shock Waves. (in press). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] T.Adachi, M.Satoh, S.Kobayashi, T.Suzuki: "Unsteady shock reflection : influence of initial wedge angle." Proceedings of the 21st lnternational symposium on Shock Waves. (in press). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] S.Kobayashi: "The shock reflection process over a non-straight surface" Proceeding of the 20th International Symposium on Shock Waves. 1. 429-434 (1996)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Suzuki: "Nonstationary shock reflection over non-straight surfaces:an approach with a method of multiple steps" Shock Waves. 7. 55-62 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] S.Kobayashi: "On the formation mechanism of von Neumann reflection" Proceedings of the 21st International Symposium on Shock Waves. (印刷中). (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] T.Adachi: "Unsteady shock reflection:influence of initial wedge angle" Proceedings of the 21th International Symposium on Shock Waves. (印刷中). (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] S.Kobayashi: "The shock reflection process over a non-straight surface" Proceedings of the 20th International Symposium on Shock Waves. 1. 429-434 (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] T.Suzuki: "Nonstationary shock reflection over nonstraight surfaces : an approach with a method of multiple steps" Shock Waves. (印刷中).

    • Related Report
      1996 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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