考虑气液环状流中液滴破碎与融合的改进薄液膜法

胡云韬; 王钰渺; 周忠玮; 张日

doi:10.6052/j.issn.1000-4750.2024.06.0484

考虑气液环状流中液滴破碎与融合的改进薄液膜法

胡云韬^1,,
王钰渺^1,,
周忠玮^2,,
张日^1, ,

1.
中国海洋大学工程学院，山东，青岛 266400
2.
中交疏浚技术装备国家工程研究中心有限公司，上海 201314

基金项目: 国家重点研发项目(2023YFB2604200)；国家自然科学基金项目(52171280)；深圳市科技计划(GJHZ20220913142612023)

详细信息

作者简介:
胡云韬(1999−)，男，湖北人，硕士生，主要从事管道内气液两相流研究(E-mail: huyuntao@stu.ouc.edu.cn)

王钰渺(1999−)，女，吉林人，博士生，主要从事管道内气液两相流研究(E-mail: wangyumiao@stu.ouc.edu.cn)

周忠玮(1990−)，男，山西人，博士生，主要从事管道输送技术研究(E-mail: zhouzw026@qq.com)

通讯作者:
张　日(1987−)，男，山西人，副教授，博士，博导，主要从事管道内气液两相流研究(E-mail: zhangri@ouc.edu.cn)

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出版历程
- 收稿日期: 2024-06-24
- 修回日期: 2024-09-11
- 网络出版日期: 2024-09-29

AN IMPROVED THIN LIQUID FILM METHOD CONSIDERING DROPLET BREAKUP AND COALESCENCE OF GAS-LIQUID ANNULAR FLOW

1.
College of Engineering, Ocean University of China, Qingdao, Shandong 266400, China
2.
National Engineering Research Center of Dredging Technology and Equipment, Shanghai 201314, China

摘要

摘要:
气、液两相环状流是工程实践中一种广泛应用的安全、经济的流动型式。为深入研究其特性和转换机制，基于薄液膜法(TLFM)，通过泰勒类比破碎模型(TAB)模拟液滴的破碎过程，利用O'Rourke随机估计算法考虑液滴间的碰撞作用，并通过Rosin-Rammler分布优化夹带液滴的尺寸，全面再现了环状流中液相的夹带、破碎、融合、沉积的动态平衡过程。使用改进后的薄液膜法对公开文献中经典的环状流实验进行数值模拟，粒径分布结果与实验基本一致，验证了模型的准确性。对环状流的两个重要参数：夹带分数、液膜厚度进行对比验证，平均绝对百分比误差(MAPE)在10%及以内，提高了TLFM的精度。最后，使用该模型对不同表观流速条件下的管道环状流进行模拟，分析表观流速对环状流液滴分布的影响。
- 环状流 /
- 破碎 /
- 融合 /
- 液滴夹带 /
- 薄液膜 /
- 计算流体力学
Abstract:
Gas-liquid annular flow is a widely applied flow pattern in engineering due to its safety and cost-effectiveness. It aims to investigate the characteristics and transition mechanisms of annular flow. The thin liquid film method (TLFM) was employed and the Taylor analogy breakup (TAB) model was utilized to simulate droplet breakup. The O’Rourke’s stochastic estimation algorithm was used to account for droplet coalescence, and the Rosin-Rammler distribution was used to optimize the size distribution of entrained droplets. This comprehensive approach replicates the dynamic equilibrium processes of entrainment, breakup, coalescence, and deposition within annular flow. To validate our improved TLFM, we conducted numerical simulations of classic annular flow experiments from the literature. The resulting droplet size distributions closely matched experimental data, confirming the accuracy of our model. We compared two key parameters of annular flow—entrainment fraction and liquid film thickness. The Mean Absolute Percentage Error (MAPE) was within 10%, demonstrating enhanced precision of the original TLFM. Finally, the model was used to simulate annular flow in pipelines under different superficial velocities, analyzing the impact of velocity on droplet distribution.
- annular flow /
- breakup /
- coalescence /
- entrainment /
- thin liquid film /
- computational fluid dynamics

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图 1 环状流流场

Figure 1. Annular flow field

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图 2 液滴破碎

Figure 2. Droplet breakup

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图 3 液滴碰撞

Figure 3. Droplet collision

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图 4 管道结构与网格无关性验证

Figure 4. Pipe structure and grid independence verification

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图 5 夹带分数对比

Figure 5. Comparison of entrainment fraction

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图 6 液膜厚度对比

Figure 6. Comparison of liquid film thickness

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图 7 概率密度分布函数对比

Figure 7. Comparison of probability density distribution function

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${J_{\rm g}}$ =58 m/s时的液滴概率密度分布

Droplet PDF at ${J_{\rm g}}$ =58 m/s

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${J_{\rm l}}$ =0.1 m/s时的液滴概率密度分布

Droplet PDF at ${J_{\rm l}}$ =0.1 m/s

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${d_{32}}$ 与流速关系

The relationship between ${d_{32}}$ and flow velocity

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表 1 网格独立性验证

Table 1 Grid independence verification

网格名称	横截面单元格	网格数量	夹带分数
网格1	96	33 216	0.935
网格2	441	152 586	0.928
网格3	693	239 778	0.923
网格4	1957	677 122	0.922
实验值	−	−	0.921

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表 2 实验工况汇总

Table 2 Experimental parameter summary

工况	工况数	介质	$D{\text{/mm} }$	$\sigma /( { {\text{N/mm} }} )$	${\mu _\mathrm{l}} /( { {\text{mPa} } \cdot {\text{s} } } )$	$P{\text{/bar} }$	${\rho _\mathrm{g}} /( { {\text{kg/} }{ {\text{m} }^3} } )$	${J_\mathrm{g}}/( { {\text{m/s} } } )$	${J_\mathrm{l}}/( { {\text{m/s} } } )$
WANG等^[34]	4	空气-水	50.00	72.00	1.00	1.00	1.161	25.0~58.0	0.053
HAY等^[35]	1	空气-水	9.50	72.00	1.00	1.00	1.161	60.8	0.169
TATTERSON等^[36]	1	空气-水	42.00	72.00	1.00	1.00	1.161	36.0	0.100
FORE和DUKLER^[37]	2	空气-甘油溶液	50.80	70.00	6.05	1.16	1.420	23.2~31.6	0.01478
OWEN等^[38]	9	空气-水	32.00	72.00	1.00	1.00	1.161	23.0~48.0	0.300
SAWANT等^[39]	6	空气-水	9.40	72.00	1.00	1.20~ 4.00	1.470~ 4.900	32.0~95.0	0.050
ALAMU和AZZOPARD^[40]	21	空气-水	19.00	72.00	1.00	1.50	1.754	13.0~43.0	0.050~0.150
SCHUBRING等^[41]	5	空气-水	23.40	72.00	1.00	1.00	1.161	35.0~75.0	0.063

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表 3 参数设定

Table 3 Parameter setting

表观流速
组1	气速 ${J_\mathrm{g}}$ ${\text{/}}\left( {{\text{m/s}}} \right)$	58
组1	液速 ${J_\mathrm{l}}$ ${\text{/}}\left( {{\text{m/s}}} \right)$	0.05	0.10	0.15	0.20
组2	气速 ${J_\mathrm{g}}$ ${\text{/}}\left( {{\text{m/s}}} \right)$	45	58	75	90
组2	液速 ${J_\mathrm{l}}$ ${\text{/}}\left( {{\text{m/s}}} \right)$	0.1

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考虑气液环状流中液滴破碎与融合的改进薄液膜法

通讯作者: 张 日(1987−)，男，山西人，副教授，博士，博导，主要从事管道内气液两相流研究(E-mail: zhangri@ouc.edu.cn)

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出版历程

AN IMPROVED THIN LIQUID FILM METHOD CONSIDERING DROPLET BREAKUP AND COALESCENCE OF GAS-LIQUID ANNULAR FLOW

计量

出版历程

目录

通讯作者:
张　日(1987−)，男，山西人，副教授，博士，博导，主要从事管道内气液两相流研究(E-mail: zhangri@ouc.edu.cn)