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平面激波冲击并排液滴的三维数值模拟研究

吴润龙 李祝军 丁航

吴润龙, 李祝军, 丁航. 平面激波冲击并排液滴的三维数值模拟研究. 力学学报, 2022, 54(11): 2958-2969 doi: 10.6052/0459-1879-22-358
引用本文: 吴润龙, 李祝军, 丁航. 平面激波冲击并排液滴的三维数值模拟研究. 力学学报, 2022, 54(11): 2958-2969 doi: 10.6052/0459-1879-22-358
Wu Runlong, Li Zhujun, Ding Hang. Impact of a planar shock onto side-by-side droplets: A 3D numerical study. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(11): 2958-2969 doi: 10.6052/0459-1879-22-358
Citation: Wu Runlong, Li Zhujun, Ding Hang. Impact of a planar shock onto side-by-side droplets: A 3D numerical study. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(11): 2958-2969 doi: 10.6052/0459-1879-22-358

平面激波冲击并排液滴的三维数值模拟研究

doi: 10.6052/0459-1879-22-358
基金项目: 国家自然科学基金资助项目(11932019)
详细信息
    作者简介:

    丁航, 教授, 主要研究方向: 界面流体动力学、多相流数值模拟方法. E-mail: hding@ustc.edu.cn

  • 中图分类号: O359+.1

IMPACT OF A PLANAR SHOCK ONTO SIDE-BY-SIDE DROPLETS: A 3D NUMERICAL STUDY

  • 摘要: 采用三维守恒清晰界面数值方法, 研究平面激波冲击并排液滴的动力学过程. 研究的焦点在于激波接触液滴后的复杂波系结构生成, 以及并排液滴相互耦合作用诱导的单个液滴非对称界面演化. 首先, 分析并排液滴之间界面通道内的波系结构发展, 发现在冲击初期由于反射激波相交而形成新的反射激波以及马赫杆; 这些流动现象与液滴另外一侧 (非通道侧) 由激波反射所形成的弯曲波阵面截然不同, 而且所导致的液滴横向两侧流场差异是中后期冲击过程液滴两侧界面非对称演化的主要原因. 其次, 研究冲击中期时, 特别是入射激波已运动至液滴下游并远离并排液滴, 界面形态的演化过程和规律, 揭示通道下游出口处由于气流膨胀导致的界面闭合、以及随后气流阻塞导致的界面破碎等新的流动现象. 最后, 研究液滴间距对并排液滴相互作用的影响规律, 发现液滴间距大小与通道内压力峰值具有明显的关联关系. 研究表明, 更小的液滴间距不仅带来更大的压力峰值, 而且使得峰值出现的时间更早.

     

  • 图  1  激波冲击并排液滴的二维示意图

    Figure  1.  Two-dimensional sketch of shock waves impacting onto side-by-side droplets

    图  2  冲击初期波系演化过程 (L/R = 1)

    Figure  2.  The evolution of wave structures at the early stage of impact (L/R = 1)

    图  3  并排液滴与激波相互作用早期的压力云图 (L/R = 1)

    Figure  3.  The evolution of wave structures at the early stage of impact (L/R = 1)

    图  4  并排液滴的三维形态演化及X-Y平面(Z = 0)上的压力与马赫数分布, 标号为1的列为液滴侧面, 标号为2的列为液滴正面(L/R = 1)

    Figure  4.  Three-dimensional morphological evolution of side-by-side droplets, pressure and Mach number contours in the X-Y plane (Z = 0). The column with label 1 corresponds to the side of the droplet, and the column with the label 2 corresponds to the front of the droplet (L/R = 1)

    图  5  激波冲击并排液滴(L/R = 1)后界面三维形态演化及X-Y 平面(Z = 0)上的压力与马赫数分布. 其中液滴侧面视图标号为 1, 液滴正面标号为 2

    Figure  5.  Snapshots of side-by-side droplets (L/R = 1) after being impacted by a planar shock, pressure and Mach number contours in the X-Y plane (Z = 0). The column with label 1 shows the side view of the droplet, and the column with the label 2 shows the front view

    图  6  并排液滴两侧半径(L/R = 1)及单液滴半径随时间的变化

    Figure  6.  The radius evolution of side-by-side droplets (L/R = 1) and single droplet

    图  7  不同液滴间距下X-Y平面(Z = 0)液滴的截面图

    Figure  7.  The cross-sectional profile of droplets in the X-Y plane (Z = 0) with different droplet gaps

    图  8  不同通道间距下, 并排液滴的压力云图. 标号为2的列为L/R = 0.2

    Figure  8.  Pressure contours of side-by-side droplets under different channel spacing. The column labeled 1 corresponds to L/R = 0.5 and the column labeled 2 corresponds to L/R = 0.2

    图  9  不同L/R下通道中心(X = Y = Z = 0)处压力值随时间变化

    Figure  9.  Time variation of pressure at the channel center (X = Y = Z = 0) with different L/R

    图  10  t = 19 μs时刻的液滴的三维界面形态(L/R = 0.2)

    Figure  10.  Snapshot of the two droplets with L/R = 0.2 at t = 19 μs

    图  11  t = 22 μs时刻的液滴的三维界面形态(L/R = 0.2)

    Figure  11.  Snapshot of the two droplets with L/R = 0.2 at t = 22 μs

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出版历程
  • 收稿日期:  2022-08-05
  • 录用日期:  2022-09-30
  • 网络出版日期:  2022-10-01
  • 刊出日期:  2022-11-18

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