拉瓦尔喷管内射流凝结流动数值研究

傅德彬; 杨珺凡; 刘浩天; 成红刚

doi:10.13224/j.cnki.jasp.20210309

拉瓦尔喷管内射流凝结流动数值研究

doi: 10.13224/j.cnki.jasp.20210309

1.
北京理工大学宇航学院，北京 100081
2.
中国兵器工业集团有限公司导航与控制技术研究所，北京 100089

基金项目: 基础加强计划重点基础研究项目（2019-JCJQ-ZD-045-04-02）

详细信息

作者简介:
傅德彬（1978-），男，副教授，博士，主要从事航天发射技术及气体动力学研究

中图分类号: V238
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- 文章访问数: 246
- HTML浏览量: 35
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- 被引次数: 0
出版历程
- 收稿日期: 2021-06-18
- 网络出版日期: 2023-07-13

Numerical study on condensation of moist jet in Laval nozzle

1.
School of Aerospace Engineering，Beijing Institute of Technology，Beijing 100081，China
2.
Research Institute of Navigation and Control Technology，China North Industries Group Corporation Limited，Beijing 100089，China

摘要

摘要:
为明确拉瓦尔喷管内流动凝结效应以及喷管几何条件、水蒸气含量等因素对凝结状态的影响，采用综合了流动控制方程、相变成核模型和粒子生长模型的欧拉离散相计算方法，对扩张比分别为2、3、4、5和水蒸气含量分别为10%、30%、50%、70%、90%、100%的模型进行数值计算分析。计算结果表明：水蒸气凝结对喷管内的流场参数具有显著影响，水蒸气凝结释放潜热，流场温度明显高于不考虑凝结效应的模型状态；随着扩张比增大，轴线上喷管出口处液滴半径增随着喷管扩张半角增大，轴线上液滴出现位置更靠近喉部，轴线上喷管出口处液滴半径增大；随着水蒸气含量增大，轴线上液滴出现位置更靠近喉部，水蒸气含量与液滴粒径之间表现为非线性关系。
- 超声速喷管流动 /
- 多相流 /
- 粒子成核生长模型 /
- 欧拉离散相模型 /
- 水蒸气相变凝结
Abstract:
The Eulerian dispersed phase method combining the flow governing equations, nucleation model and droplet growth model was adopted to clarify the influence of condensation on the flow field, and the influence of nozzle geometry and gas humidity on the condensation state. The models with nozzle radius ratio of 2, 3, 4, 5 and gas humidities of 10%, 30%, 50%, 70%, 90%, 100% were numerically simulated. The results showed that the influences of condensation effect no the flow field were obvious and the temperature of condensation flow field was higher than non-condensation condition because of the latent heat released by vapor condensation. With the increase of the nozzle radius ratio, the droplet radius at the exit of nozzle axis increased. The droplet appeared closer to the throat and the droplet radius at the exit of axis was larger with the increase of nozzle half angle. The relationship between gas humidity and droplet size was nonlinear, and the droplets appeared closer to throat with higher gas humidity.
- supersonic nozzle flow /
- multiphase flow /
- nucleation and droplet growth model /
- the Eulerian dispersed phase model /
- water vapor condensation

HTML

图 1 计算模型示意图

Figure 1. Geometry of computational models

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图 2 不同网格计算结果对比

Figure 2. Comparison between calculation results of different grid densities

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图 3 低压、高压状态对比模型示意图

Figure 3. Geometry comparison models at low and high pressure

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图 4 低压条件结果对比

Figure 4. 4 Comparisons between computation and experiment results under low inlet pressure

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图 5 高压条件结果对比

Figure 5. Comparisons between computation and experiment under results high inlet pressure

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图 6 n=3时轴线上压强、温度、马赫数与液滴半径

Figure 6. Pressure, temperature, Mach number and droplet radius along axis when n=3

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图 7 有无凝结效应流场对比

Figure 7. Flow field comparison between non-condensation and condensation conditions

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图 8 不同半径扩张比喷管轴线上压强、温度、液滴半径、液滴及数密度分布

Figure 8. Pressure, temperature, droplet radius, and number density at nozzle axis of different nozzle radius ratios

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图 9 不同扩张半角模型轴线上压强、温度、液滴半径、液滴及数密度分布

Figure 9. Pressure, temperature, droplet radius, and number density at nozzle axis of different nozzle half angles

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图 10 不同水蒸气含量模型轴线上压强、温度、液滴半径、液滴及数密度分布

Figure 10. Pressure, temperature, droplet radius, and number density at nozzle axis of different humidity

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表 1 喷管入口条件设置

Table 1. Initial parameters of nozzle inlet

模型编号	r_in/mm	n	x_in/mm	r_t/mm	x_out/mm	$ \theta $/（°）	h/%	T_in/K	p_in/MPa
a	50	2	50	20	113.43	10	50	500	3
	50	3	50	20	226.85	10	50	500	3
	50	4	50	20	340.28	10	50	500	3
	50	5	50	20	453.70	10	50	500	3
b	50	2	50	20	226.85	5	50	500	3
	50	3	50	20	226.85	10	50	500	3
	50	4	50	20	226.85	14.8	50	500	3
	50	5	50	20	226.85	19.4	50	500	3

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表 2 计算初始条件

Table 2. Initial conditions

模型	T_in/K	p_in/Pa	来流组分
低压条件	354.6	2.5×10⁴	水蒸气
高压条件	544	3.2×10⁶	水蒸气

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表 3 出口处压强、温度、水蒸气含量及液滴半径

Table 3. Pressure, temperature, water vapor content and droplet radius at the outlet

h/%	p_e/Pa	T/K	p_sat/Pa	h_e/%	r/µm
10	40800.43	282.78	1196.91	2.34	1.135
20	42929.58	310.86	6527.35	11.49	1.310
30	59895.79	352.14	45461.3	21.64	1.422
40	79429.08	373.38	102126.5	32.20	1.505
50	56972.7	351.07	43515.3	43.14	1.777
60	56821.61	354.23	49473.6	54.12	1.845
70	56868.73	357.96	57373.3	65.34	1.740
80	67629.17	371.90	96857.2	76.66	1.701
90	56401.84	361.59	66048.7	88.26	1.697
100	66114.21	375.41	109738.7	100	1.747

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