Instabilities of shock and detonation waves
作者:
G. R. Fowles,
A. F. P. Houwing,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1984)
卷期:
Volume 27,
issue 8
页码: 1982-1990
ISSN:0031-9171
年代: 1984
DOI:10.1063/1.864853
出版商: AIP
数据来源: AIP
摘要:
It is shown that the compatibility conditions for spontaneous splitting of a single shock into two shocks plus a contact discontinuity are satisfied whenever the instability limits derived by D’yakov, Kontorovich, and Erpenbeck are violated. They can be stated as −1<j2 (dV/dP)H<(1−M2−M2V0/V)(1−M2+M2V0/V)−1<1+2M, wherej2=( P−P0)/(v0−v),M=‖(D−u)/c‖, and the derivative is along the Hugoniot curve. One‐dimensional splitting can occur when the outer limits are exceeded. Violation of the intermediate upper limit (Kontorovich condition) admits spontaneous generation of steady transverse waves similar to those often observed in detonations.
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