RESEARCH ON DSMC NUMERICAL METHOD OF PHASE TRANSITION IN VACUUM PLUME

Li Zhonghua; Li Zhihui; Wu Junlin

doi:10.6052/0459-1879-23-419

Volume 56 Issue 5

Apr. 2024

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Chinese Journal of Theoretical and Applied Mechanics > 2024 > 56(5): 1356-1365. > DOI: 10.6052/0459-1879-23-419 CSTR: 32045.14.0459-1879-23-419

Li Zhonghua, Li Zhihui, Wu Junlin. Research on DSMC numerical method of phase transition in vacuum plume. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(5): 1356-1365. DOI: 10.6052/0459-1879-23-419

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RESEARCH ON DSMC NUMERICAL METHOD OF PHASE TRANSITION IN VACUUM PLUME

Li Zhonghua^{*, †, ,},
Li Zhihui^**,
Wu Junlin^{*, †}

*.
Hypervelocity Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang 621000, Sichuan, China
†.
National Key Laboratory of Aerospace Physics in Fluids , China Aerodynamics Research and Development Center, Mianyang 621000, Sichuan, China
**.
National Laboratory of Computational Fluid Dynamics, Beijing 100191, China

Received Date: September 02, 2023
Accepted Date: January 28, 2024
Available Online: January 28, 2024
Published Date: January 29, 2024

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Abstract

Abstract

During the rapidly expansion of vacuum gas plume, the condensation phase transition is easy to occur for species such as H₂O and CO₂ in gas phase. Numerical simulation method of phase transition process in vacuum plume is studied to research the contamination effects of infrared and erosion caused by ice crystal particles produced from vapor by phase transiting in plume. Based on two way coupled direct simulate Monte Carlo (DSMC) method which simulates the momentum and energy exchange between phases used in rarefied two phase plume, the numerical method of phase transition in vacuum plume is modeled by using classical nucleation theory and droplet growth theory. The experimental cases of vapor spontaneous condensation in a Laval nozzle are simulated. By comparing the results between numerical simulation and experiment, the classical nucleation theory is modified by setting a correction factor of 10³ for the nucleation rate, then the simulation results which are good agreement with those of experiment can be obtained. This means that the modified classical nucleation theory can be used in numerical simulation of rarefied flow. The vacuum plume with phase transition of a thruster is simulated, and similar result with CFD in kernel flow is acquired. It is show that there are a number of ice crystal particles because of phase transition in plume field. In plume kernel flow, the maximum of ice crystal number density reaches the order of 10¹⁵ m⁻³, and the diameter is on the order of about 10⁻⁸ m in the simulated case. There are a certain amount of ice crystal in back flow because of the plume unlimited expansion in vacuum, with the number density on the order of 10⁷ to 10¹⁰ m⁻³, and the diameter on the order of 5.0 × 10⁻¹⁰ m. There are some distinctly difference between particle and gas phase about number density and size spatial distribution, and it is needed to study the related contamination effects of plume.
- vacuum plume,
- phase transition,
- nucleation,
- direct simulate Monte Carlo,
- numerical simulation

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References (35)

References

[1]	Gimelshein NE, Gimelshein SF, Robert BL, et al. Analysis of physical and numerical factors for prediction of UV radiation from high altitude two-phase plumes. AIAA Paper 2008-4120
[2]	Jonathan MB, Boyd ID. Monte Carlo simulation of particle radiation in high altitude solid rocket plumes. AIAA Paper 2007-5703
[3]	Viswanath K, Levin DA, Brentner KS, et al. Modelling of soot oxidation and prediction of optical radiation in under expanded plumes. AIAA Paper 2024-1350
[4]	Landrman AJ, Lewis CH, Byron SR. Two-phase plume impingement effects. AIAA Journal, 1970, 8(10): 1831-1839
[5]	Christopher I, Philip M, Paul EH, et al. Apollo 12 Lunar Module exhaust plume impingement on Lunar Surveyor III. Icarus, 2011, 211(2): 1089-1102
[6]	Gallis MA, Rader DJ, Torczynski JR. DSMC simulations of the thermophoretic force on a spherical macroscopic particle. AIAA Paper 2001-2890
[7]	Burt JM, Boyd ID. Development of a two-way coupled model for two phase rarefied flows. AIAA Paper 2004-1351
[8]	Burt JM, Boyd ID. Monte Carlo simulation of a rarefied multiphase plume flow, AIAA Paper 2005-964
[9]	Gallis MA, Torczynski JR, Rader DJ. An approach for simulating the transport of spherical particles in a rarefied gas flow via the direct simulation Monte Carlo method. Physics of Fluids, 2001, 13(11): 3482-3492
[10]	王美利, 罗喜胜, 杨基明. 非定常膨胀过程中水蒸汽凝结对流场影响的数值分析. 计算物理, 2006, 23(1): 109-114 (Wang Meili, Luo Xisheng, Yang Jiming. Numerical analysis of water vapor condensation during unsteady expansion in a shock tube. Chinese Journal of Computational Physics, 2006, 23(1): 109-114 (in Chinese) Wang Meili, Luo Xisheng, Yang Jiming. Numerical analysis of water vapor condensation during unsteady expansion in a shock tube. Chinese Journal of Computational Physics, 2006, 23(1): 109-114 (in Chinese)
[11]	郭向东. 风洞流场和模型试验中相变影响的数值研究. [硕士论文]. 合肥: 中国科学技术大学, 2016 (Guo Xiangdong. Numerical evaluation of phase transition effects in wind tunnel flow field and model test. [Master Thesis]. Hefei: University of Science and Technology of China, 2016 (in Chinese) Guo Xiangdong. Numerical evaluation of phase transition effects in wind tunnel flow field and model test. [Master Thesis]. Hefei: University of Science and Technology of China, 2016 (in Chinese)
[12]	张学腾. 超声速流场中流动与相变过程的数值研究. [硕士论文]. 东营: 中国石油大学, 2016 (Zhang Xueteng. Numerical study of flow and condensation process in supersonic flow field. [Master Thesis]. Dongying: China University of Petroleum, 2016 (in Chinese) Zhang Xueteng. Numerical study of flow and condensation process in supersonic flow field. [Master Thesis]. Dongying: China University of Petroleum, 2016 (in Chinese)
[13]	蒋文明. 多组分凝结性超音速流传热传质理论及实验研究. [博士论文]. 北京: 北京工业大学, 2010 (Jiang Wenming. A theoretical and experimental study of heat and mass transfer characteristics of multi-component condensing gas supersonic flows. [PhD Thesis]. Beijing: Beijing University of Technology, 2010 (in Chinese) Jiang Wenming. A theoretical and experimental study of heat and mass transfer characteristics of multi-component condensing gas supersonic flows. [PhD Thesis]. Beijing: Beijing University of Technology, 2010 (in Chinese)
[14]	杨勇, 沈胜强, 孔泰佑. 水蒸汽超音速流动中自发凝结现象的数值模拟. 工程热物理学报, 2008, 29(8): 1393-1396 (Yang Yong, Sheng Shengqiang, Kong Taiyou. Numerical simulation on spontaneous condensation in supersonic steam flow. Journal of Engineering Thermophysics, 2008, 29(8): 1393-1396 (in Chinese) Yang Yong, Sheng Shengqiang, Kong Taiyou. Numerical simulation on spontaneous condensation in supersonic steam flow. Journal of Engineering Thermophysics, 2008, 29(8): 1393-1396 (in Chinese)
[15]	Zeifman MI, Zhong JQ, Levin DA. A hybrid MD-DSMC approach to direct simulation of condensation in supersonic jets. AIAA Paper 2004-2586
[16]	Candler GV, McConaughey K. Effect of water vapor on the AEDC Tunnel 9 Mach 14 nozzle flow. AIAA Paper 2009-195
[17]	Gallagher-Rogers AC, Zhong JQ, Levin DA. Simulation of homogeneous ethanol condensation in supersonic nozzle flows using DSMC. AIAA Paper 2007-4159
[18]	Li Z, Zhong JQ, Levin DA. Development of homogeneous water condensation models using molecular dynamics. AIAA Journal, 2009, 47: 1241-1251
[19]	Borner A, Li Z, Levin DA. DSMC study of homogeneous condensation of water in supersonic expansions//28th International Symposium on Rarefied Gas Dynamics. 2012: 565-572
[20]	Bykov NY, Gorbachev YE. Comparative analysis of condensation models with DSMC//29th International Symposium on Rarefied Gas Dynamics. 2014: 139-147
[21]	Bird GA. Molecular Gas Dynamics and the Direct Simulation of Gas Flows. Oxford: Clarendon Press, 1994
[22]	Burt JM, Boyd ID. High altitude plume simulations for a solid propellant rocket. AIAA Paper 2007-1013
[23]	李中华, 李志辉, 陈爱国等. 低密度风洞瑞利散射测速实验中纳米粒子跟随性数值分析. 力学学报, 2017, 49(6): 1243-1251 (Li Zhonghua, Li Zhihui, Chen Aiguo, et al. Numerical analyzation of nano-particle following features for Rayleith scattering velocity measurement test in low density wind tunnel. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(6): 1243-1251 (in Chinese) Li Zhonghua, Li Zhihui, Chen Aiguo, et al. Numerical analyzation of nano-particle following features for Rayleith scattering velocity measurement test in low density wind tunnel. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(6): 1243-1251 (in Chinese)
[24]	李中华, 李志辉, 彭傲平等. 一种稀薄两相流动的数值模拟方法. 空气动力学学报, 2015, 33(2): 266-270 (Li Zhonghua, Li Zhihui, Peng Aoping, et al. A numerical method for simulating rarefied two phase flow. Acta Aerodynamic Sinica, 2015, 33(2): 266-270 (in Chinese) Li Zhonghua, Li Zhihui, Peng Aoping, et al. A numerical method for simulating rarefied two phase flow. Acta Aerodynamic Sinica, 2015, 33(2): 266-270 (in Chinese)
[25]	林龙沅. 相变对高超声速流动的影响研究. [博士论文]. 合肥: 中国科学技术大学, 2015 (Lin Longyuan. Study on phase transition effects on hypersonic flows. [PhD Thesis]. Hefei: University of Science and Technology of China, 2015 (in Chinese) Lin Longyuan. Study on phase transition effects on hypersonic flows. [PhD Thesis]. Hefei: University of Science and Technology of China, 2015 (in Chinese)
[26]	Yin PB, Li TT, Cao XW, et al. Condensation properties of water vapor under different back pressures in nozzle. Case Studies in Thermal Engineering, 2022, 31: 101783 doi: 10.1016/j.csite.2022.101783
[27]	Edathol J, Brezgin D, Aronson K, et al. Prediction of non-equilibrium homogeneous condensation in supersonic nozzle flows using Eulerian-Eulerian models. International Journal of Heat and Mass Transfer, 2020, 152: 119451 doi: 10.1016/j.ijheatmasstransfer.2020.119451
[28]	Bolaños-Acosta AF, Restrepo JC, Simões-Moreira JR. Two semi-analytical approaches for solving condensation shocks in supersonic nozzle flows. International Journal of Heat and Mass Transfer, 2021, 173: 121212 doi: 10.1016/j.ijheatmasstransfer.2021.121212
[29]	Mccallum M, Hunt R. The flow of wet steam in a one-dimensional nozzle. International Journal for Numerical Method in Engineering, 1999, 44: 1807-1821 doi: 10.1002/(SICI)1097-0207(19990430)44:12<1807::AID-NME563>3.0.CO;2-Z
[30]	严家禄. 工程热力学. 北京: 高等教育出版社, 1981 (Yan Jialu. Engineering Thermodynamics. Beijing: Higher Education Press, 1981 (in Chinese) Yan Jialu. Engineering Thermodynamics. Beijing: Higher Education Press, 1981 (in Chinese)
[31]	Gyarmathy G. The spherical droplet in gaseous carrier streams: Review and synthesis, Multiphase Science and Technology, 1982, 1: 99-279
[32]	Gerber AG, Kermani MJ. A pressure based Eulerian–Eulerian multi-phase model for non-equilibrium condensation in transonic steam flow. International Journal of Heat and Mass Transfer, 2004, 47(10): 2217-2231
[33]	Gerber AG, Mousavi A. Application of quadrature method of moments to the polydispersed droplet spectrum in transonic steam flows with primary and secondary nucleation. Applied Mathematical Modelling, 2007, 31(8): 1518-1533 doi: 10.1016/j.apm.2006.04.011
[34]	Moses CA, Stein GD. On the growth of steam droplets formed in a Laval nozzle using both static pressure and light scattering measurements. Journal of Fluids Engineering, 1978, 100: 311-322 doi: 10.1115/1.3448672
[35]	Lothe J, Pound GM. Reconsideration of nucleation theory. The Journal of Chemical Physics, 1962, 36(8): 2080-2085 doi: 10.1063/1.1732832

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