TY - JOUR
T1 - A Consideration of the Three-Shock Theory for Weak Mach Reflections
AU - Hirahara, Hiroyuki
AU - Aoki, Toshiyuki
AU - Matsuo, Kazuyasu
PY - 1988
Y1 - 1988
N2 - 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.
AB - 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.
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U2 - 10.1299/kikaib.54.3325
DO - 10.1299/kikaib.54.3325
M3 - Article
AN - SCOPUS:0024131206
SN - 0387-5016
VL - 54
SP - 3325
EP - 3330
JO - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
JF - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
IS - 508
ER -