气动谐振管加热机理数值研究

放置在高速喷流中的半开口气动谐振管在一定的条件下会出现加热现象.针对这一现象,利用数值计算方法计算了一维非定常非线性Euler方程组,采用MacCormark格式,对不同管口条件下谐振管内的振荡过程进行了数值研究.研究发现,当管口压力变化频率处在谐振管的线性谐振频率附近时,管内形成的激波以及激波的反射增强导致了谐振管端壁区域明显的加热效果.对不同的驱动气体和不同的谐振管型式(圆柱形和圆锥形)的数值研究也给出了有价值的结论.研究结果与实验事实或现象是相吻合的.

Numerical Investigation of Gas Dynamic Resonance Tube Heating

The heating phenomenon emerges in some conditions when a semi open resonance tube is placed in a stream of gas. In this paper a numerical method based on one dimensional nonstationary nonlinear Euler equations for an ideal and perfect gas is developed,and using MacCormack scheme,a physically explicable solution is obtained. It is shown that at the linear resonance frequencies the conditions are favorable for the formation and amplification of oscillating shock waves leading to heating of the gas in the end part of the resonance tube. Calculations of different driving gases and different tube configurations(cylinder and cone) also give valuable conclusions.The results of this paper tally with experimental facts or phenomena.