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

Hiroyuki Hirahara, Toshiyuki Aoki, Kazuyasu Matsuo

Research output: Contribution to journalArticlepeer-review


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
Issue number508
Publication statusPublished - 1988

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering


Dive into the research topics of 'A Consideration of the Three-Shock Theory for Weak Mach Reflections'. Together they form a unique fingerprint.

Cite this