摘要
The instability theory of shock wave was extended from the case with an infinite front to the case in a channel with a rectangular cross section. The results show that there are two modes, instead of one, for unstable shock. One mode is a newly discovered mode and represents an absolute instability of shock. The instability criterion derived from another mode is nearly the same as the one obtained by Dyakov and Swan, in addition, its growth rate is newly derived in this paper, and on this basis, it was further pointed out that at j2(δV/δP)H=1+2M, the shock wave is most unstable, i.e. its nondimensional growth rate γ=∞.
The instability theory of shock wave was extended from the case with an infinite front to the case in a channel with a rectangular cross section. The results show that there are two modes, instead of one, for unstable shock. One mode is a newly discovered mode and represents an absolute instability of shock. The instability criterion derived from another mode is nearly the same as the one obtained by Dyakov and Swan, in addition, its growth rate is newly derived in this paper, and on this basis, it was further pointed out that at j2(δV/δP)H=1+2M, the shock wave is most unstable, i.e. its nondimensional growth rate γ=∞.
