Two-dimensional self-similar flows generated by the interaction between a shock and low-density gas regions

Georgievskii, P. Yu.; Левин, В. А.; Sutyrin, O. G.

doi:10.1134/s0015462810020134

Cited by 28 publications

(1 citation statement)

References 6 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…对于二维平面激波与固壁处倾斜界面作用，Henderson [3] 借助激波极曲线定性地讨论了不同激波强度、介质参数下非正规折射波系结构.Abd-El-Fattah [6] 针对带自由前驱波的非正规折射，假定入射波和透射波后流体速度相等，且将透射波后高压流体膨胀导致前驱波形成的过程简化为一维流动，建立了透射波和前驱波参数的理论计算方法，但由于所采用假设相较于实际情况大大简化，计算结果与实验数据存在较大偏差.Abd-El-Fattah [10] 针对入射波受到波后亚声速稀疏波作用而逐渐发生弯曲的情形，假定入射波阵面保持平直，建立与入射波和界面的交点固连的坐标系，利用该坐标系中的流场参数建立入射波和透射波极曲线，假定在波后稀疏波作用下，流体状态先沿入射波极曲线变化到声速点，然后按照普朗特 -迈耶流动进行膨胀，其状态曲线与透射波极曲线的交点即为透射波后状态.但是，在某些情形下，入射波声速点位于透射波极曲线外侧，因此上述两条极曲线无法相交，解并不存在.对于二维平面激波与直角构型界面作用，Georgievskii [23,24] 假定入射波、透射波始终保持平直，并且透射波与前驱波在界面处组成双波结构，忽略波后稀疏波作用，同时将前驱波与入射波作用所形成的五波结构简化为三波结构，分别利用双波和三波理论求解波阵面信息.…”

unclassified

On theoretical calculation method for two-dimensional planar shock wave refractions

Lei-ming¹,

Wang²,

Wang³

et al. 2023

Acta Phys. Sin.

View full text Add to dashboard Cite

A theoretical calculation method for wave structures in the flow resulting from the interaction between the two-dimensional planar shock and the material interface is developed. The propagation of the shock wave on either side of the interface is analyzed at first, and two regular refraction types and three irregular ones are identified. Then, according to the relative speed of the perturbation on either side, three different cases are established. Compared with the existing Catherasoo’s method, this method has improved in the following aspects: (1) the impact of the perturbation in the post-shock flow field on the interaction is taken into account, including its type and whether it can catch up and interact with the shock front; (2) the interactions between different waves are mostly calculated based on the exact solutions of the Euler equations, except those involving post-shock subsonic rarefaction waves. This method has been employed in the interaction of a Mach number 1.17 shock with an air/SF6 interface, and gives wave structures that agree with numerical results and existing experimental data. Better agreement for the angle between the transmitted shock and the horizontal direction is obtained than Catherasoo’s result, and more parameters are obtained, such as the reflected wave and the interface deflection angle. For cases involving a Mach number 2.00 shock with different material density ratio and interface inclination angles, comparisons between theoretical and numerical results have shown that our method can obtain the wave structure type more accurately than Catherasoo’s method, and identify a refraction type in which the post-shock strong perturbation catches up with the shock front and a three-wave structure is formed, whereas Catherasoo’s method cannot handle this case. Thus, it is implied that the improved method in this paper is well applicable and more accurate than the existing method in identifying wave structure types, and it can also give more information about the wave structures.

show abstract

unclassified