非理想爆轰波的集值解
Set-valued solutions for non-ideal detonation
摘要：
在一维近似下，考虑气体与固体惰性颗粒之间的摩擦损失和热损失，分析了固体惰性颗粒填充床中稳态气相爆轰波的存在性和传播结构。一个新的制定的控制方程的介绍，消除了众所周知的困难，数值积分跨越音速奇异反应欧拉方程。新的算法使我们能够确定，爆炸的解决方案作为损失因子的变化有一个集值的性质，在低爆速时，声波约束消失的解决方案。这些集值的解决方案对应于一个连续谱的本征值问题，决定了爆炸的速度。
英文摘要：
The existence and structure of steady gaseous detonation propagating in a packed bed of solid inert particles are analyzed in the one-dimensional approximation by taking into consideration frictional and heat losses between the gas and the particles. A new formulation of the governing equations is introduced that eliminates the well-known difficulties with numerical integration across the sonic singularity in the reactive Euler equations. The new algorithm allows us to determine that the detonation solutions as the loss factors are varied have a set-valued nature at low detonation velocities when the sonic constraint disappears from the solutions. These set-valued solutions correspond to a continuous spectrum of the eigenvalue problem that determines the velocity of the detonation.
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