高韦伯数条件下黏性对液滴变形过程的影响

申帅 李建玲 刘金宏 范玮

申帅, 李建玲, 刘金宏, 范玮. 高韦伯数条件下黏性对液滴变形过程的影响[J]. 爆炸与冲击, 2020, 40(12): 123201. doi: 10.11883/bzycj-2020-0051
引用本文: 申帅, 李建玲, 刘金宏, 范玮. 高韦伯数条件下黏性对液滴变形过程的影响[J]. 爆炸与冲击, 2020, 40(12): 123201. doi: 10.11883/bzycj-2020-0051
SHEN Shuai, LI Jianling, LIU Jinhong, FAN Wei. Viscous effect on the droplet deformation process under high Weber number conditions[J]. Explosion And Shock Waves, 2020, 40(12): 123201. doi: 10.11883/bzycj-2020-0051
Citation: SHEN Shuai, LI Jianling, LIU Jinhong, FAN Wei. Viscous effect on the droplet deformation process under high Weber number conditions[J]. Explosion And Shock Waves, 2020, 40(12): 123201. doi: 10.11883/bzycj-2020-0051

高韦伯数条件下黏性对液滴变形过程的影响

doi: 10.11883/bzycj-2020-0051
基金项目: 国家自然科学基金(11772309);NSAF联合基金(U1730134);科学挑战专题(TZ2016001);西北工业大学博士生创新基金(CX201949);冲击波物理与爆轰物理重点实验室基金(6142A03180304)
详细信息
    作者简介:

    申 帅(1993- ),男,博士,kanshui2008@163.com

    通讯作者:

    李建玲(1983- ),女,博士,教授,lijianling@mail.nwpu.edu.cn

  • 中图分类号: O351

Viscous effect on the droplet deformation process under high Weber number conditions

  • 摘要: 为探究液滴黏性对变形过程的影响,深入了解液滴在冲击波作用下变形破碎的行为机制。采用高速阴影技术在水平激波管上拍摄了高韦伯数(We=1 100~4 400)条件下,3种黏性硅油液滴的变形过程。结果表明随着黏性的提升:液滴演化出相应特征所需时间增大,同时会出现新的变形特征;液滴空间及位移特征参数的生长速率降低而变形时间、最大变形高度/位移都增大,这是因为提升的黏性力降低了变形速率、耗散了更多的动能并延长了液滴的变形过程;液滴表面最不稳定的Kelvin-Helmholtz波朝着大尺度、低生长率的方向发展,从而实现黏性对变形过程的延缓作用。随着最大变形位移的增大,最大变形高度首先线性增长,之后增幅降低。
  • 图  1  液滴迎/背风面、垂直气流高度及迎风面位移的定义

    Figure  1.  Definitions of windward/leeward cross-stream diameterand windward displacement

    图  2  实验系统

    Figure  2.  Experimental system

    图  3  第1组 (We=1 100±100)条件下液滴的变形过程

    Figure  3.  Deformation processes of group 1 (We=1 100±100)

    图  4  第2组(We=2400±50)条件下液滴的变形过程

    Figure  4.  Deformation processes of group 2 (We=2400±50)

    图  5  第3组条件下液滴的变形过程(We=4150±150)

    Figure  5.  Deformation processes of group 3 (We=4150±150)

    图  6  第1组条件下无量纲垂直气流高度dc/d0和无量纲迎风面位移S/d0随无量纲时间T的变化关系

    Figure  6.  Variation of dimensionless droplet cross-stream diameter (dc/d0) and dimensionless windward displacement (S/d0) with (T) of group 1

    图  7  第2组条件下无量纲垂直气流高度dc/d0及无量纲迎风面位移S/d0随无量纲时间T的变化关系

    Figure  7.  Variation of dimensionless droplet cross-stream diameter (dc/d0) and dimensionless windward displacement (S/d0) with (T) of group 2

    图  8  第3组条件下无量纲垂直气流高度dc/d0及无量纲迎风面位移S/d0随无量纲时间T的变化关系

    Figure  8.  Variation of dimensionless droplet cross-stream diameter (dc/d0) and dimensionless windward displacement (S/d0) with (T) of group 3

    图  9  无量纲最大变形高度(dc/d0)max及无量纲变形时间Tini随奥内佐格数Oh变化的关系

    Figure  9.  Variation of maximum dimensionless droplet cross-stream diameter ((dc/d0)max) and dimensionless initiation time (Tini) with Ohnesorge number (Oh)

    图  10  不同韦伯数We条件下无量纲最大变形位移(S/d0)max随奥内佐格数Oh的变化关系

    Figure  10.  Variation of maximum dimensionless windward displacement ((S/d0)max) with Ohnesorge number (Oh) under different Weber number (We)

    图  11  无量纲最大变形位移(S/d0)max与无量纲最大变形高度(dc/d0)max的变化关系

    Figure  11.  Variation of maximum dimensionless droplet cross-stream diameter ((dc/d0)max) with maximum dimensionless windward displacement ((S/d0)max)

    图  12  三种组别条件下K-H波增长率(n)随波数(k)的变化关系

    Figure  12.  Variation of wave growth rate (n) with wave number (k) of three groups

    图  13  三种组别条件下无量纲最大增长率波长$ \lambda _{\rm{max}}{/}{{d}}_{{0}} $及最大增长率nmax随奥内佐格数Oh的变化关系

    Figure  13.  Variation of dimensionless maximum wavelength ($ \lambda _{\rm{max}}{/}{{d}}_{{0}} $) and maximmum increasing rate (nmax) with Oh of three groups

    表  1  实验工况参数

    Table  1.   Parameters of experimental conditions

    分组编号μl/(mPa∙s)ρl/(kg·m−3)d0/mmug/(m·s−1)ρg/(kg·m−3)WeOh
    1Case 1109170.90123.951.6510850.076
    Case 2509430.90126.471.6611360.375
    Case 31009470.83132.461.6911690.779
    2Case 4109170.79183.201.9224290.081
    Case 5509430.86178.741.9024870.383
    Case 61009470.90172.891.8723860.749
    3Case 7109170.86218.072.0840600.078
    Case 8509430.90219.372.0942850.375
    Case 91009470.93211.992.0540860.735
     注:$ \sigma $=0.021 N/m
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出版历程
  • 收稿日期:  2020-03-02
  • 修回日期:  2020-06-23
  • 刊出日期:  2020-12-05

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