搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

微小水滴撞击深水液池空腔运动的数值模拟及机理研究

裴传康 魏炳乾

引用本文:
Citation:

微小水滴撞击深水液池空腔运动的数值模拟及机理研究

裴传康, 魏炳乾

Numerical investigation of cavity formation mechanism for micron-waterdrop impact on deep pool

Pei Chuan-Kang, Wei Bing-Qian
PDF
导出引用
  • 为了探究微米级微小水滴撞击深水液池运动中空腔的成长过程与机理,采用自适应网格技术和流体体积方法对撞击速度为2.5–6.5 m/s的微小水滴撞击深水液池的运动进行数值模拟研究,考察不同撞击速度下水滴撞击深水液池后的水体混掺、毛细波传播、空腔变形规律以及气泡截留过程,并深入探究空腔运动的动力学机制.研究结果表明,不同撞击速度下,在忽略毛细波作用、空腔深度h∈(D,hmax)的前提下,空腔深度随时间的成长仍满足t∝h5/2的关系;液滴撞击产生的空腔形状有U形和半球形两种,前者一般向V形转变,后者空腔底部会变为圆柱形,产生细长射流,并有可能发生气泡截留现象;在撞击速度较低时,低压区首先在空腔侧壁与底部交界处产生,随后在靠近液面以及空腔底部靠近中心区域各产生一个较大的涡环;在撞击速度较高,产生细长射流时,涡环的生成被抑制,低压区首先在波浪底部与侧壁上交界处产生,随后空腔底部变为圆柱状,空腔侧壁首先坍塌形成气泡截留.
    As one of the most fundamental and iconic fluid motion, droplet impact exists widely in scientific technologies and natural environment, and the phenomenon has been studied both for fundamental mechanism and for industrial applications in aerospace engineering, inkjet printing, agricultural irrigation and hydraulic structure erosion. Therefore, it is of great significance to study such basic movements for understanding the interfacial deformation of gas and liquid flow and improving the applications of droplet impact movement in engineering. Droplet impacting on a deep liquid pool has been extensively investigated for droplets with millimeter diameter. In this article, focusing on the cavity formation mechanism during a Micron-sized waterdrop impact on a deep pool, we perform systematic numerical simulations with adaptive mesh refinement technique and volume of fluid method to study the impact of a 290 μm water droplet on a deep water pool at velocities in a range of 2.5-6.5 m/s. The free surface motion, geometric variation of the cavity, local pressure field and vorticity field at selected times are presented to identify the pool-drop water mixing, capillary wave propagation, cavity formation, vortex ring generation and bubble entrapment phenomenon, and the dynamic mechanism of cavity motion is further explored. It is found that under the premise of neglecting the surface tension effects on the cavity whose depth is in a range of h∈(D, hmax), where D is the radius of initial droplet and hmax is the maximum depth, the cavity growth time to reach its maximum depth still scales as t∝h5/2, where t is time, but in the end, the formation of the bottom of the cavity is driven by capillary waves. There are two types of the initial cavity shapes: one is U-shape and the other is hemispherical shape, the former one generally changes into V-shape, and in the latter case, the bottom of the cavity will gradually transform into cylindrical shape, resulting in a thin jet and possible bubble entrapment. Cavity collapse is closely related to capillary wave propagation. When the impact velocity is low (Fr=567.1, Re=1595, We=121.8), the low-pressure zone is initially generated at the junction between the cavity sidewall and the bottom, a large vortex ring is then generated near the free surface and the bottom of the cavity, respectively. Under high impact velocities (Fr=792.1, Re=1885, We=170.2), the thin jet is observed, the generation of the vortex ring is suppressed. The low-pressure zone is first generated at the junction between the wave bottom and the cavity sidewall, after the cavity becomes cylindrical, the cavity collapses before the capillary wave arrives at the bottom, causing a bubble entrapment.
      通信作者: 魏炳乾, weibingqian@xaut.edu.cn
    • 基金项目: 国家自然科学基金(批准号:51479163)和陕西水利科技计划(批准号:2014skj-14)资助的课题.
      Corresponding author: Wei Bing-Qian, weibingqian@xaut.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 51479163) and the Water Science and Technology Program of Shaanxi Province, China (Grant No. 2014skj-14).
    [1]

    Yarin A L 2006 Annu. Rev. Fluid Mech. 38 159

    [2]

    Jomaa S, Barry D A, Brovelli A, Sander G C, Parlange J Y, Heng B C P, Tromp-van Meerveld H J 2010 J. Hydrol. 395 117

    [3]

    Ferreira A G, Larock B E, Singer M J 1985 Soil Sci. Soc. Am. J. 49 1502

    [4]

    Takagaki N, Kurose R, Baba Y, Nakajima Y, Komori S 2014 Int. J. Multiph. Flow 65 1

    [5]

    Worthington A M 1908 A Study of Splashes (London: Longmans, Green) pp129-132

    [6]

    Chapman D S, Critchlow P R 1967 J. Fluid Mech. 29 177

    [7]

    Dooley B S, Warncke A E, Gharib M, Tryggvason G 1997 Exp. Fluids 22 369

    [8]

    Liow J 2001 J. Fluid Mech. 427 73

    [9]

    Michon G J, Josserand C, Séon T 2017 Phys. Rev. Fluids 2 023601

    [10]

    Zhbankova S L, Kolpakov A V 1990 Fluid Dyn. 25 470

    [11]

    Hirt C W, Nichols B D 1981 J. Comput. Phys. 39 201

    [12]

    Osher S, Sethian J A 1988 J. Comput. Phys. 79 12

    [13]

    Sussman M, Puckett E G 2000 J. Comput. Phys. 162 301

    [14]

    Yue P, Zhou C, Feng J J 2006 Phys. Fluids 18 102102

    [15]

    Ray B, Biswas G, Sharma A 2010 J. Fluid Mech. 655 72

    [16]

    Castillo-Orozco E, Davanlou A, Choudhury P K, Kumar R 2015 Phys. Rev. E 92 053022

    [17]

    Dai J F, Fan X P, Meng B, Liu J F 2015 Acta Phys. Sin. 64 094704 (in Chinese) [戴剑锋, 樊学萍, 蒙波, 刘骥飞 2015 物理学报 64 094704]

    [18]

    Huang H, Hong N, Liang H, Shi B C, Chai Z H 2016 Acta Phys. Sin. 65 084702 (in Chinese) [黄虎, 洪宁, 梁宏, 施保昌, 柴振华 2016 物理学报 65 084702]

    [19]

    Zhao H, Brunsvold A, Munkejord S T 2011 Exp. Fluids 50 621

    [20]

    Popinet S 2003 J. Comput. Phys. 190 572

    [21]

    Popinet S 2009 J. Comput. Phys. 228 5838

    [22]

    Agbaglah G, Delaux S, Fuster D, Hoepffner J, Josserand C, Popinet S, Ray P, Scardovelli R, Zaleski S 2011 C. R. Mec. 339 194

    [23]

    Morton D, Rudman M, Jong-Leng L 2000 Phys. Fluids 12 747

    [24]

    Ray B, Biswas G, Sharma A 2015 J. Fluid Mech. 768 492

    [25]

    Berberović E, van Hinsberg N P, Jakirli S, Roisman I V, Tropea C 2009 Phys. Rev. E 79 036306

  • [1]

    Yarin A L 2006 Annu. Rev. Fluid Mech. 38 159

    [2]

    Jomaa S, Barry D A, Brovelli A, Sander G C, Parlange J Y, Heng B C P, Tromp-van Meerveld H J 2010 J. Hydrol. 395 117

    [3]

    Ferreira A G, Larock B E, Singer M J 1985 Soil Sci. Soc. Am. J. 49 1502

    [4]

    Takagaki N, Kurose R, Baba Y, Nakajima Y, Komori S 2014 Int. J. Multiph. Flow 65 1

    [5]

    Worthington A M 1908 A Study of Splashes (London: Longmans, Green) pp129-132

    [6]

    Chapman D S, Critchlow P R 1967 J. Fluid Mech. 29 177

    [7]

    Dooley B S, Warncke A E, Gharib M, Tryggvason G 1997 Exp. Fluids 22 369

    [8]

    Liow J 2001 J. Fluid Mech. 427 73

    [9]

    Michon G J, Josserand C, Séon T 2017 Phys. Rev. Fluids 2 023601

    [10]

    Zhbankova S L, Kolpakov A V 1990 Fluid Dyn. 25 470

    [11]

    Hirt C W, Nichols B D 1981 J. Comput. Phys. 39 201

    [12]

    Osher S, Sethian J A 1988 J. Comput. Phys. 79 12

    [13]

    Sussman M, Puckett E G 2000 J. Comput. Phys. 162 301

    [14]

    Yue P, Zhou C, Feng J J 2006 Phys. Fluids 18 102102

    [15]

    Ray B, Biswas G, Sharma A 2010 J. Fluid Mech. 655 72

    [16]

    Castillo-Orozco E, Davanlou A, Choudhury P K, Kumar R 2015 Phys. Rev. E 92 053022

    [17]

    Dai J F, Fan X P, Meng B, Liu J F 2015 Acta Phys. Sin. 64 094704 (in Chinese) [戴剑锋, 樊学萍, 蒙波, 刘骥飞 2015 物理学报 64 094704]

    [18]

    Huang H, Hong N, Liang H, Shi B C, Chai Z H 2016 Acta Phys. Sin. 65 084702 (in Chinese) [黄虎, 洪宁, 梁宏, 施保昌, 柴振华 2016 物理学报 65 084702]

    [19]

    Zhao H, Brunsvold A, Munkejord S T 2011 Exp. Fluids 50 621

    [20]

    Popinet S 2003 J. Comput. Phys. 190 572

    [21]

    Popinet S 2009 J. Comput. Phys. 228 5838

    [22]

    Agbaglah G, Delaux S, Fuster D, Hoepffner J, Josserand C, Popinet S, Ray P, Scardovelli R, Zaleski S 2011 C. R. Mec. 339 194

    [23]

    Morton D, Rudman M, Jong-Leng L 2000 Phys. Fluids 12 747

    [24]

    Ray B, Biswas G, Sharma A 2015 J. Fluid Mech. 768 492

    [25]

    Berberović E, van Hinsberg N P, Jakirli S, Roisman I V, Tropea C 2009 Phys. Rev. E 79 036306

  • [1] 王浩, 徐进良. 油面上相邻Leidenfrost液滴的相互作用及运动机制. 物理学报, 2023, 72(5): 054401. doi: 10.7498/aps.72.20221822
    [2] 杨亚晶, 梅晨曦, 章旭东, 魏衍举, 刘圣华. 液滴撞击液膜的穿越模式及运动特性. 物理学报, 2019, 68(15): 156101. doi: 10.7498/aps.68.20190604
    [3] 方龙, 陈国定. 冷液滴/热液池碰撞混合及温度特性. 物理学报, 2019, 68(23): 234702. doi: 10.7498/aps.68.20190809
    [4] 杨海军, 仵峰, 方海平, 胡钧, 侯铮迟. 基于加气水滴灌的土壤环境调节机理研究. 物理学报, 2019, 68(1): 019201. doi: 10.7498/aps.68.20181357
    [5] 裴传康, 魏炳乾, 左娟莉, 杨泓. 椭圆形变微小水滴撞击深水液池运动大型气泡夹带机理. 物理学报, 2019, 68(20): 204703. doi: 10.7498/aps.68.20190541
    [6] 董琪琪, 胡海豹, 陈少强, 何强, 鲍路瑶. 水滴撞击结冰过程的分子动力学模拟. 物理学报, 2018, 67(5): 054702. doi: 10.7498/aps.67.20172174
    [7] 王浩若, 张冲, 张宏超, 沈中华, 倪晓武, 陆健. 超短脉冲激光与微小水滴相互作用中电子密度和光场的时空分布. 物理学报, 2017, 66(12): 127801. doi: 10.7498/aps.66.127801
    [8] 孙川琴, 黄海深, 毕庆玲, 吕勇军. 非晶态合金表面的水润湿动力学. 物理学报, 2017, 66(17): 176101. doi: 10.7498/aps.66.176101
    [9] 胡海豹, 何强, 余思潇, 张招柱, 宋东. 低温光滑壁面上水滴撞击结冰行为. 物理学报, 2016, 65(10): 104703. doi: 10.7498/aps.65.104703
    [10] 张凯, 陆勇俊, 王峰会. 表面能梯度驱动下纳米水滴在不同微结构表面上的运动. 物理学报, 2015, 64(6): 064703. doi: 10.7498/aps.64.064703
    [11] 李大鸣, 王志超, 白玲, 王笑. 液滴撞击孔口附近壁面运动过程的模拟研究. 物理学报, 2013, 62(19): 194704. doi: 10.7498/aps.62.194704
    [12] 姚祎, 周哲玮, 胡国辉. 有结构壁面上液滴运动特征的耗散粒子动力学模拟. 物理学报, 2013, 62(13): 134701. doi: 10.7498/aps.62.134701
    [13] 史剑, 周林, 杨隆颖. 高风速下海洋飞沫水滴对拖曳系数的影响. 物理学报, 2013, 62(3): 039201. doi: 10.7498/aps.62.039201
    [14] 张明焜, 陈硕, 尚智. 带凹槽的微通道中液滴运动数值模拟. 物理学报, 2012, 61(3): 034701. doi: 10.7498/aps.61.034701
    [15] 仝志辉. 热对流条件下固液密度比对颗粒沉降运动影响的直接数值模拟. 物理学报, 2010, 59(3): 1884-1889. doi: 10.7498/aps.59.1884
    [16] 石自媛, 胡国辉, 周哲玮. 润湿性梯度驱动液滴运动的格子Boltzmann模拟. 物理学报, 2010, 59(4): 2595-2600. doi: 10.7498/aps.59.2595
    [17] 李 玲, 李伯臧. 双动边界一维空腔中的能量密度. 物理学报, 2003, 52(11): 2762-2767. doi: 10.7498/aps.52.2762
    [18] 陈若航, 孔令江, 何云, 李华兵, 刘慕仁. 二维空腔黏性流的格子Boltzmann方法模拟. 物理学报, 2000, 49(4): 631-635. doi: 10.7498/aps.49.631
    [19] 吴烽, 汪秉宏, 杨月桂, 姚斌. 电流变液中悬浮粒子的布朗运动与其聚集之间关系. 物理学报, 1996, 45(3): 403-408. doi: 10.7498/aps.45.403
    [20] 罗正明. 空腔电离的电子迁移理论. 物理学报, 1980, 29(2): 205-213. doi: 10.7498/aps.29.205
计量
  • 文章访问数:  4302
  • PDF下载量:  85
  • 被引次数: 0
出版历程
  • 收稿日期:  2018-07-28
  • 修回日期:  2018-09-20
  • 刊出日期:  2019-11-20

/

返回文章
返回