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封闭腔体排液孔的流量系数研究

胡仁强 张涛 卢柳韵 许常悦

胡仁强,张涛,卢柳韵,许常悦. 封闭腔体排液孔的流量系数研究 [J]. 应用数学和力学,2023,44(1):61-69 doi: 10.21656/1000-0887.430100
引用本文: 胡仁强,张涛,卢柳韵,许常悦. 封闭腔体排液孔的流量系数研究 [J]. 应用数学和力学,2023,44(1):61-69 doi: 10.21656/1000-0887.430100
HU Renqiang, ZHANG Tao, LU Liuyun, XU Changyue. Study on Discharge Coefficients of Drain Orifices in Closed Cavities[J]. Applied Mathematics and Mechanics, 2023, 44(1): 61-69. doi: 10.21656/1000-0887.430100
Citation: HU Renqiang, ZHANG Tao, LU Liuyun, XU Changyue. Study on Discharge Coefficients of Drain Orifices in Closed Cavities[J]. Applied Mathematics and Mechanics, 2023, 44(1): 61-69. doi: 10.21656/1000-0887.430100

封闭腔体排液孔的流量系数研究

doi: 10.21656/1000-0887.430100
基金项目: 国家自然科学基金(12172172);江苏高校优势学科建设工程
详细信息
    作者简介:

    胡仁强(1998—),男,硕士(E-mail:1473378062@qq.com

    许常悦(1981—),男,副教授,博士,硕士生导师(通讯作者. E-mail:cyxu@nuaa.edu.cn

  • 中图分类号: O35

Study on Discharge Coefficients of Drain Orifices in Closed Cavities

  • 摘要:

    该文利用数值方法模拟了封闭腔体的排液流动,获取了排液孔的流量系数。通过量纲分析法研究了小孔流量系数的主要影响因素,拟合了计算小孔流量系数的经验公式。结果表明:当水头高度小于200 mm时,小孔流量系数随水头高度的增加而减小;当水头高度大于200 mm时,小孔流量系数稳定在0.61附近。不同厚径比的小孔流量系数表现为两种不同的形式:小厚径比的小孔呈现薄孔流动特性,流量系数为0.6左右;大厚径比的小孔呈现厚孔流动特性,流量系数为0.8左右。

  • 图  1  封闭腔体简化模型及排液孔局部的网格拓扑结构

    Figure  1.  The simplified model for the closed cavity and the mesh topology of the drain orifice

    图  2  网格无关性验证结果

    Figure  2.  Grid independence verification results

    图  3  小孔流量系数随孔厚度的变化

    Figure  3.  Evolution of the discharge coefficient with the orifice thickness

    图  4  小孔流量系数随水头高度的变化

    Figure  4.  Evolution of the discharge coefficient with the head height

    图  5  小孔流量系数随水力直径的变化

    Figure  5.  Evolution of the discharge coefficient with the hydraulic diameter

    图  6  $h/d \geqslant 40$时小孔流量系数随厚径比$l/d$和Reynolds数$Re$的变化:(a) 厚径比l/d;(b) Re

    Figure  6.  Evolution of the discharge coefficient with thickness to diameter ratio $l/d$ and Reynolds number $Re$ for $h/d \geqslant 40$: (a) thickness to diameter ratio l/d;(b) Re

    图  7  利用流线和压力云图描述的小孔附近流动拓扑结构:(a) l/d=0.4;(b) l/d=2

    注 为了解释图中的颜色,读者可以参考本文的电子网页版本。

    Figure  7.  The flow topology near the orifice of plotted streamlines and contours of pressure: (a) l/d=0.4; (b) l/d=2

    图  8  涡量厚度沿分离剪切层的分布

    Figure  8.  Distribution of the vorticity thickness along the separated shear layer

    表  1  圆形排液孔的几何参数

    Table  1.   Geometric parameters of circular drain orifices

    d/mml/mml/d
    52, 5, 10, 15, 200.4, 1, 2, 3, 4
    102, 5, 10, 15, 200.2, 0.5, 1, 1.5, 2
    152, 5, 10, 15, 200.13, 0.3, 0.67, 1, 1.3
    202, 5, 10, 15, 200.1, 0.25, 0.5, 0.75, 1
    下载: 导出CSV

    表  2  数值与试验结果对比

    Table  2.   Comparison of numerical and experimental results

    d/mmh/mmexp[19]num
    102820.7240.746
    12.52670.6620.655
    13.53020.6510.662
    163700.6330.643
    下载: 导出CSV
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出版历程
  • 收稿日期:  2022-03-28
  • 修回日期:  2022-08-27
  • 网络出版日期:  2023-01-09
  • 刊出日期:  2023-01-15

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