考虑抽吸效应修正的扩散层壁面冷凝模型研究

朱治州; 佟立丽; 曹学武

doi:10.13832/j.jnpe.2025.S1.0095

考虑抽吸效应修正的扩散层壁面冷凝模型研究

doi: 10.13832/j.jnpe.2025.S1.0095

朱治州^{1, 2,},
佟立丽^{1, 2},
曹学武^{1, 2, ,}

1.
上海交通大学机械与动力工程学院，上海，200240
2.
核动力系统与装备教育部重点实验室（上海交通大学），上海，200240

基金项目: 中核集团领创科研项目（20220801PL）

详细信息

作者简介:
朱治州（2000—），男，博士研究生，现主要从事核反应堆安全分析方向的研究，E-mail: zhuzhizhou@sjtu.edu.cn

通讯作者:
曹学武，E-mail: caoxuewu@sjtu.edu.cn

中图分类号: TL331
计量
- 文章访问数: 4
- HTML全文浏览量: 2
- PDF下载量: 1
- 被引次数: 0
出版历程
- 收稿日期: 2024-08-15
- 修回日期: 2025-04-15
- 刊出日期: 2025-07-09

Study on Modified Diffusion Layer Wall Condensation Model Considering Suction Effect

Zhu Zhizhou^{1, 2
,},
Tong Lili^{1, 2},
Cao Xuewu^{1, 2
, ,}

1.
School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China
2.
Key Laboratory of Nuclear Power Systems and Equipment (Shanghai Jiao Tong University), Ministry of Education, Shanghai, 200240, China

摘要

摘要: 蒸汽壁面冷凝是冷却剂丧失事故（LOCA）下非能动热量导出的重要方式，壁面冷凝模型的准确性直接影响分析结果的有效性。本文基于计算流体动力学（CFD）程序构建了扩散层壁面冷凝模型，选取JERICHO冷凝实验对模型的预测效果进行了评估，结果表明，低冷凝速率下扩散层壁面冷凝模型能准确预测蒸汽壁面冷凝速率，然而随着蒸汽冷凝速率增加，模型整体低估了壁面冷凝速率。针对这一问题，考虑了抽吸效应和混合气体密度沿壁面法向分布的非均匀性，提出了考虑轻质气体影响的抽吸效应修正关系，对冷凝源项进行了改进，构建了新的扩散层壁面冷凝模型。基于COPAIN实验对改进后模型的预测结果进行了验证，模拟得到的热流密度与实验数据吻合较好，相对误差在±20%以内，证明了改进后的扩散层壁面冷凝模型的准确性。
- 壁面冷凝模型 /
- 混合气体 /
- 扩散层 /
- 安全壳
Abstract: Steam wall condensation is an important passive heat removal method under loss of coolant accident (LOCA). The accuracy of the wall condensation model directly affects the validity of the analysis results. Based on the computational fluid dynamics (CFD) code, a diffusion layer wall condensation model was constructed in this paper. The JERICHO experiment was selected to evaluate the model. The results show that the diffusion layer wall condensation model can accurately predict the steam wall condensation rate at low condensation rate conditions. However, the model underestimates the wall condensation rate as the steam condensation rate increases. To address this problem, the suction effect and the non-uniformity distribution of the mixed gas density along the wall-normal direction are considered. A correction relationship for the suction effect considering the influence of light gas is proposed, the condensation source term is modified, and a new diffusion layer wall condensation model is constructed. The prediction results of the modified model are verified based on the COPAIN experiment. The simulated heat flux density is in good agreement with the experimental data, and the relative error is within ±15%, which proves the accuracy of the modified diffusion layer wall condensation model.
- Wall condensation model /
- Mixed gas /
- Diffusion layer /
- Containment

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图 1 含不凝性气体扩散层壁面冷凝模型示意图

T_i—冷凝气液界面温度；T_w—冷凝壁面温度；P_v,sat(T_i)—冷凝气液界面温度对应的饱和压力。

Figure 1. Schematic Diagram of Diffusion Layer Wall Condensation Model with Non-condensable Gas

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图 2 JERICHO冷凝实验装置示意图　mm

Figure 2. Schematic Diagram of JERICHO Condensation Experimental Facility

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图 3 JERICHO装置二维模型

Figure 3. Two Dimensional Geometric Model of JERICHO Facility

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图 4 JERICHO实验网格敏感性分析结果

Figure 4. Mesh Sensitivity Analysis Results of JERICHO Experiment

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图 5 JERICHO空气-水蒸气-氦气壁面冷凝实验评估结果

Figure 5. Evaluation Results of Air-Steam-Helium Wall Condensation in JERICHO Experiment

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图 6 冷凝壁面附近混合气体总密度沿壁面法向分布示意图

Figure 6. Schematic Diagram of Total Density Distribution of the Mixed Gas near the Condensing Wall along the Normal Direction

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图 7 改进模型预测结果与JERICHO实验值对比

Figure 7. Comparison between the Predicted Results of the Improved Model and the JERICHO Experimental Data

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图 8 壁面冷凝计算中应用于扩散系数的θ_c与θ_B的对应关系

Figure 8. Correspondence between θ_c and θ_B Applied to Diffusion Coefficient in Analysis of Wall Condensation

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图 9 COPAIN实验装置示意图

Figure 9. Schematic Diagram of COPAIN Facility

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图 10 COPAIN实验网格敏感性分析结果

Figure 10. Mesh Sensitivity Analysis Results of COPAIN Experiment

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图 11 改进后扩散层壁面冷凝模型模型模拟结果与COPAIN实验值对比

Figure 11. Comparison between the Predicted Results of the Improved Diffusion Layer Wall Condensation Model and COPAIN Experimental Data

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表 1 JERICHO壁面冷凝实验3种工况边界条件

Table 1. Boundary Conditions for JERICHO Wall Condensation Experiment in Three Conditions

工况	冷凝壁面长度/m	w_nc	氦气占不凝性气体的质量份额	压力/ MPa	壁面过冷度/K	冷凝传热系数测量值/ （W·m⁻²·K⁻¹）
1	1.0	0.30	0	0.3	40.00	408.98
2		0.20	0.2	0.2	10.09	1835.10
3		0.20	0.2	0.3	20.03	1933.84

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表 2 COPAIN蒸汽壁面冷凝实验边界条件

Table 2. Boundary Conditions for COPAIN Steam Wall Condensation Experiment

工况	入口速度/(m·s⁻¹)	出口压力/MPa	入口气体温度/K	壁面温度/K	入口不凝性气体质量分数
P0284	0.32	0.659	436.35	371.96	0.297
P0344	0.30	0.121	344.03	322.00	0.864
P0441	3.00	0.102	353.20	307.40	0.767
P0443	1.00	0.102	352.30	300.10	0.772
P0444	0.50	0.102	351.50	299.70	0.773

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表 3 网格划分方案

Table 3. Mesh Division Scheme

网格划分方案	近壁第一层网格高度$ \Delta\mathit{y} $/m	网格数量
1	0.0100	150(z)×29(y)
2	0.0010	150(z)×47(y)
3	0.0005	180(z)×55(y)
4	0.0001	200(z)×65(y)

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参考文献(14)

[1]	XING J, SONG D Y, WU Y X. HPR1000: advanced pressurized water reactor with active and passive safety[J]. Engineering, 2016, 2(1): 79-87. doi: 10.1016/J.ENG.2016.01.017
[2]	MARTÍN-VALDEPEÑAS J M, JIMÉNEZ M A, MARTÍN-FUERTES F, et al. Comparison of film condensation models in presence of non-condensable gases implemented in a CFD Code[J]. Heat and Mass Transfer, 2005, 41(11): 961-976. doi: 10.1007/s00231-004-0606-5
[3]	BUCCI M, AMBROSINI W, FORGIONE N. Experimental and computational analysis of steam condensation in the presence of air and helium[J]. Nuclear Technology, 2013, 181(1): 115-132. doi: 10.13182/NT13-A15761
[4]	ZSCHAECK G, FRANK T, BURNS A D. CFD modelling and validation of wall condensation in the presence of non-condensable gases[J]. Nuclear Engineering and Design, 2014, 279: 137-146. doi: 10.1016/j.nucengdes.2014.03.007
[5]	DEHBI A, JANASZ F, BELL B. Prediction of steam condensation in the presence of noncondensable gases using a CFD-based approach[J]. Nuclear Engineering and Design, 2013, 258: 199-210. doi: 10.1016/j.nucengdes.2013.02.002
[6]	BIRD B R, STEWART W E, LIGHTFOOT E N. Transport Phenomena[M]. 2nd ed. New York, USA: John Wiley & Sons Inc. , 2002:543-551.
[7]	BIAN H Z, SUN Z G, ZHANG N, et al. A new modified diffusion boundary layer steam condensation model in the presence of air under natural convection conditions[J]. International Journal of Thermal Sciences, 2019, 145: 105948. doi: 10.1016/j.ijthermalsci.2019.05.004
[8]	WANG D, CAO X. Numerical analysis of different break direction effect on hydrogen behavior in containment during a hypothetical LOCA[J]. Annals of Nuclear Energy, 2017, 110: 856-864. doi: 10.1016/j.anucene.2017.06.054
[9]	JIANG X W, STUDER E, KUDRIAKOV S. A simplified model of passive containment cooling system in a CFD code[J]. Nuclear Engineering and Design, 2013, 262: 579-588. doi: 10.1016/j.nucengdes.2013.06.010
[10]	SHIH T H, LIOU W W, SHABBIR A. A new k- ϵ eddy viscosity model for high reynolds number turbulent flows[J]. Computers & Fluids, 1995, 24(3): 227-238.
[11]	LI Y B, ZHANG H, XIAO J J, et al. Numerical investigation of natural convection inside the containment with recovering passive containment cooling system using GASFLOW-MPI[J]. Annals of Nuclear Energy, 2018, 114: 1-10. doi: 10.1016/j.anucene.2017.11.047
[12]	BENTEBOULA S, DABBENE F. Modeling of wall condensation in the presence of noncondensable light gas[J]. International Journal of Heat and Mass Transfer, 2020, 151: 119313. doi: 10.1016/j.ijheatmasstransfer.2020.119313
[13]	PARK I W, YANG S H, LEE Y G. Degradation of condensation heat transfer on a vertical cylinder by a light noncondensable gas mixed with air-steam mixtures[J]. International Communications in Heat and Mass Transfer, 2022, 130: 105779. doi: 10.1016/j.icheatmasstransfer.2021.105779
[14]	BUCCI M. Experimental and computational analysis of condensation phenomena for the thermal-hydraulic analysis of LWRs containments[D]. Pisa, Italy: University of Pisa, 2009.