A Consideration of the Three-Shock Theory for Weak Mach Reflections

Hiroyuki Hirahara, Toshiyuki Aoki, Kazuyasu Matsuo

Research output: Contribution to journalArticle

Abstract

When a weak incident shock wave strikes a wedge and Mach reflection takes place, the previous experimental values of the angle of reflection, the triple-point trajectory angle and so on disagree with the values predicted by the three-shock theory. This contradiction is known as “von Neumann's paradox” and this phenomenon is not yet fully understood. In this paper, the three-shock theory is examined and modified taking the pressure condition and the curvature of a Mach shock into consideration. The result obtained by the present analysis shows good agreement with the previous experimental results.

Original languageEnglish
Pages (from-to)3325-3330
Number of pages6
JournalTransactions of the Japan Society of Mechanical Engineers Series B
Volume54
Issue number508
DOIs
Publication statusPublished - Jan 1 1988

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Mach reflection
Mach number
shock
Shock waves
Trajectories
paradoxes
wedges
shock waves
curvature
trajectories

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering

Cite this

A Consideration of the Three-Shock Theory for Weak Mach Reflections. / Hirahara, Hiroyuki; Aoki, Toshiyuki; Matsuo, Kazuyasu.

In: Transactions of the Japan Society of Mechanical Engineers Series B, Vol. 54, No. 508, 01.01.1988, p. 3325-3330.

Research output: Contribution to journalArticle

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