Shock train response to pulse backpressure forcing

X. Ma (马晓敏), Y. Zhang (张永辉), J. Yuan (袁菁涛), W. Fan (范玮)
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Abstract

Transient numerical simulations were conducted to investigate the influence of large amplitude and fast impact backpressure on a shock train. The fundamental problem consists of a shock train within a constant-area channel with a Ma=1.61 inflow and a pulse backpressure applied to the outlet. The pressure disturbance in the isolator has an intense forcing-response lag. From the moment of the backpressure peak appearance, it takes 36 times the backpressure duration for the pressure disturbance to reach the upstream end. It moves upstream with time in the form of a normal shock wave. As time progresses, the normal shock degenerates into a $\lambda $ shock and a compression wave behind due to the action of viscous dissipation in the boundary layer. Eventually, a multi-stage shock train is formed. The maximum backpropagation distance is a quadratic function of both the pulse backpressure peak and duration, and the relationship between these variables was determined by fitting. When the integral value of backpressure to time is fixed, reducing the backpressure peak while increasing the duration will reduce the backpressure pulsation at the isolator outlet, which will be more conducive to shortening the maximum backpropagation distance than reducing the duration and increasing the backpressure peak. The values of backpressure peak and duration are obtained from the detonation combustion case, which ensures the authenticity of backpressure characteristics. The relevant research conclusions can provide a reference for the design of the isolator of pulse detonation ramjet.
冲击系对脉冲背压强迫的响应
进行了瞬态数值模拟,以研究大振幅和快速冲击背压对冲击系的影响。基本问题包括恒定面积通道内的冲击系,其流入量为 Ma=1.61,出口处施加脉冲背压。隔离器中的压力扰动具有强烈的强迫-反应滞后。从背压峰值出现的那一刻起,压力扰动需要 36 倍于背压持续时间的时间才能到达上游端。它以正常冲击波的形式随时间向上游移动。随着时间的推移,由于边界层中粘性耗散的作用,正常冲击波退化为$\lambda$冲击波和后面的压缩波。最终形成多级冲击波。最大反向传播距离是脉冲反压峰值和持续时间的二次函数,这些变量之间的关系是通过拟合确定的。当背压与时间的积分值固定时,减小背压峰值而增加持续时间将减小隔离器出口处的背压脉动,这比减小持续时间而增加背压峰值更有利于缩短最大反向传播距离。背压峰值和持续时间的取值均来自爆燃情况,这保证了背压特性的真实性。相关研究结论可为脉冲爆燃冲压发动机隔爆装置的设计提供参考。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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