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Shock Reflection in Axisymmetric Internal Flows

  • B. Shoesmith
  • S. Mölder
  • H. Ogawa
  • E. Timofeev
Conference paper

Abstract

The flow downstream of an axisymmetric conical shock wave, with a downstream pointing apex, can be predicted by solving the Taylor-Maccoll equations. Previous research, however, has suggested that these theoretical flowfields are not fully realisable in practice, and that a Mach reflection forms towards the centreline of the flow. This phenomenon is investigated for the case where the freestream Mach number is 3.0 and the shock angle is 150\(^\circ \). A range of complementary prediction techniques that include the solution to the Taylor-Maccoll equations, the method of characteristics, curved shock theory and CFD, are used to gain insight into this flow. The case where a cylindrical centrebody is placed along the axis of symmetry is studied for several values of centrebody radius that are expected to produce regular reflection at the centrebody surface. An analysis of pressure gradients suggests that the flowfield downstream of the reflected shock does not contribute to the process of transition from regular to Mach reflection at these conditions.

Notes

Acknowledgements

The present research of B.S. and E.T. is supported by the Fonds de recherche du Quèbec - Nature et technologies (FRQNT) via the Team Research Project program and the National Science and Engineering Research Council (NSERC) via the Discovery Grant program. B.S. gratefully acknowledges the McGill Engineering Doctoral Award (MEDA) funded in part by the Faculty of Engineering, McGill University. Rabi Tahir’s support regarding Masterix code is greatly appreciated.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • B. Shoesmith
    • 1
  • S. Mölder
    • 2
  • H. Ogawa
    • 3
  • E. Timofeev
    • 1
  1. 1.Department of Mechanical EngineeringMcGill UniversityMontrealCanada
  2. 2.Department of Aerospace EngineeringRyerson UniversityTorontoCanada
  3. 3.School of EngineeringRMIT UniversityMelbourneAustralia

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