Shock reflection in axisymmetric internal flows

Ben Shoesmith, Sannu Mölder, Hideaki Ogawa, Evgeny Timofeev

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

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 150֯ . 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.
Original languageEnglish
Title of host publicationShock Wave Interactions
Pages355-366
Publication statusPublished - 2018

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internal flow
Mach reflection
shock
method of characteristics
charge flow devices
pressure gradients
Mach number
shock waves
apexes
radii
symmetry
predictions

Cite this

Shoesmith, B., Mölder, S., Ogawa, H., & Timofeev, E. (2018). Shock reflection in axisymmetric internal flows. In Shock Wave Interactions (pp. 355-366)

Shock reflection in axisymmetric internal flows. / Shoesmith, Ben; Mölder, Sannu; Ogawa, Hideaki; Timofeev, Evgeny.

Shock Wave Interactions. 2018. p. 355-366.

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

Shoesmith, B, Mölder, S, Ogawa, H & Timofeev, E 2018, Shock reflection in axisymmetric internal flows. in Shock Wave Interactions. pp. 355-366.
Shoesmith B, Mölder S, Ogawa H, Timofeev E. Shock reflection in axisymmetric internal flows. In Shock Wave Interactions. 2018. p. 355-366
Shoesmith, Ben ; Mölder, Sannu ; Ogawa, Hideaki ; Timofeev, Evgeny. / Shock reflection in axisymmetric internal flows. Shock Wave Interactions. 2018. pp. 355-366
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AB - 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 150֯ . 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.

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