激波冲击下的交错液柱形态演化数值研究
NUMERICAL STUDY OF THE INTERACTION BETWEEN SHOCK WAVES AND STAGGERED LIQUID COLUMNS
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摘要: 采用时空守恒元与解元方法对平面激波冲击交错排列的3液柱形态演化过程进行研究. 展示了平面激波冲击3液柱后的波系结构及界面形态演化过程, 发现液柱间的通道增强了激波间的相互作用, 使下游液柱迎风面上压力分布不均, 导致其迎风面在较短时间内从弧面演化为平坦表面. 测量了下游液柱的迎风面极点位移和宽度, 观察到上游两液柱间通道的变窄趋势使得气流对下游液柱迎风面极点的冲击减弱, 降低了其迎风面极点位移速度. 通过测量3液柱整体的无量纲宽度、高度和质心位移, 发现第二通道宽度在气流与界面的相互作用中发挥了关键作用. 随着第二通道宽度减小, 气流对界面的作用能力增强, 上游液柱后部凹陷的演化速率加快, 第一通道侧的尖端逐渐消失, 3液柱整体的无量纲宽度由减小到增大的转折点提前, 而后期的无量纲质心位移速度减慢. 在第二通道宽度较大的算例中, 上游液柱仍保持了较为对称的结构特征. 而在第二通道宽度较小的算例中, 上游液柱在波系演化阶段便显现出显著的非对称性, 不再展现出对称的结构特征.Abstract: The morphology of three liquid columns impacted by a plane shock is investigated by using the space-time conservation element and solution element method. The evolution of the shock system and interface deformation of the three liquid columns are demonstrated. The flow inside the channels between the liquid columns enhance the interaction between the shock waves. It leads to uneven pressure distributions on the windward surface of the downstream liquid column. And it also causes its windward surface to evolve from a curved surface to a flat one within a short period of time. The windward pole displacement and width of the downstream liquid column are measured. The narrowing trend of the channel between the two upstream liquid columns weakens the impact of the air flow on the windward pole of the downstream liquid column. It also reduces the velocity of the windward pole displacement. The dimensionless widths, heights, and center-of-mass displacements of the entire three liquid columns are measured. It is found that the width of the second channel plays a key role in the interaction between the airflow and the liquid interface. As the width of the second channel decreases, the ability of the airflow to interact with the interface strengthens and the deformation rate of the dent at the back of the upstream liquid column accelerates. The tip on the first channel side disappears. Then, the turning point of the dimensionless width of the three liquid columns from decreasing to increasing occurs earlier. Additionally, the dimensionless centroid displacement slows down at a later stage. In the case of large second channel width, the upstream liquid column maintains a symmetric shape. However, in the case of small second channel width, the upstream liquid column shows significant asymmetry at the wave system evolution stage and no longer exhibits symmetric features.