Simulation of Droplet-gas Flow in the Effervescent Atomization Spray with an Impinging Plate

Abstract

Abstract: A comprehensive three-dimensional model of droplet-gas flow was presented to study the evolution of spray in the effervescent atomization spray with an impinging plate.For gas phase, the N-S equation with the k-ε turbulence model was solved, considering two-way coupling interaction between droplets and gas phase.Dispersed droplet phase is modeled as Lagrangian entities, accounting for the physics of droplet generation from primary and secondary breakup, droplet collision and coalescence, droplet momentum and heat transfer.The mean size and statistical distribution of atomized droplets at various nozzle-to-plate distances were calculated.Some simulation results were compared well with experimental data.The results show that the existence of the impinging plate has a pronounced influence on the droplet mean size, size distribution and the droplet spatial distribution.The air-to-liquid ratio has obvious effects on the droplet size and distribution.

Key words: effervescent atomization spray, impinging plate, droplet distribution, Sauter mean diameter, simulation

摘要： A comprehensive three-dimensional model of droplet-gas flow was presented to study the evolution of spray in the effervescent atomization spray with an impinging plate.For gas phase,the N-S equation with the k-ε turbulence model was solved,considering two-way coupling interaction between droplets and gas phase.Dispersed droplet phase is modeled as Lagrangian entities,accounting for the physics of droplet generation from primary and secondary breakup,droplet collision and coalescence,droplet momentum and heat transfer.The mean size and statistical distribution of atomized droplets at various nozzle-to-plate distances were calculated.Some simulation results were compared well with experimental data.The results show that the existence of the impinging plate has a pronounced influence on the droplet mean size,size distribution and the droplet spatial distribution.The air-to-liquid ratio has obvious effects on the droplet size and distribution.

关键词: effervescent atomization spray, impinging plate, droplet distribution, Sauter mean diameter, simulation

QIAN Lijuan, LIN Jianzhong, and XIONG Hongbing. Simulation of Droplet-gas Flow in the Effervescent Atomization Spray with an Impinging Plate[J]. , 2009, 17(1): 8-19.

钱丽娟, 林建忠, 熊红兵. Simulation of Droplet-gas Flow in the Effervescent Atomization Spray with an Impinging Plate[J]. , 2009, 17(1): 8-19.

References

1 Devi, P.S., Lee, Y., Margolis, J., Parise, J.B., Sampath, S., Herman, H., Hanson, J.C., “Comparison of citrate-nitrate combustion and precursor plasma spray processes for the synthesis of yttrium aluminum garnet”, J. Mater. Res., 17 (11), 2846-2851 (2002).
2 Babinsky, E., Sojla, P.E., “Modeling drop size distributions”, Prog. Energy Combus. Sci., 28, 303-329 (2002).
3 Sellens, R.W., Brzustowski, T.A., “A prediction of the drop size distribution in a spray from first principles”, Atomization Spray Technol., 1 (2), 89-102 (1985).
4 Li, X., Tankin, R.S., “Droplet size distribution: a derivation of a Nuliyama-Tanasawa type distribution function”, Combust. Sci. Technol.,6, 65-76 (1987).
5 Sovani, S.D., Sojka, P.E., Sivathanu, Y.R., “Prediction of drop size distributions from first principles: the influence of fluctuations in relative velocity and liquid physical properties”, Atomiz. Spray, 9,113-152 (1999).
6 Sovani, S.D., Sojka, P.E., Lefebvre, A.H., “Effervescent atomization”, Prog. Energy Combust. Sci., 27, 483-521 (2001).
7 Liu, L.S., “Experimental and theoretical investigation on the characteristics and two-phase spray flow field of effervescent atomizers”, Ph.D. Thesis, Tianjing University, China (2001). (in Chinese)
8 Ishii, M., “One dimensional drift-flux mode and constitutive equations for relative motion between phases in various two-phase flow regimes”, Argonne National Laboratory Report, 77-47 (1977).
9 Senecal, P.K., Schmidt, D.P., Nouar, I., Rutland, C.J., Reitz, R.D., Corradini, M.L., “Modeling high speed viscous liquid sheet atomization”, Int. J. Multiphase Flow, 25, 1073-1097 (1999).
10 Xiong, H.B., Lin, J.Z., Zhu, Z.F., “Three-dimensional simulation of effervescent atomization spray”, Atomiz. Sprays, 19 (1), 1-16 (2009).
11 O’Rourke, P.J., Amsden, A.A., “The TAB method for numerical calculation of spray droplet breakup”, SAE Paper, 872089 (1987).
12 Tanner, F.X., “Development and validation of a cascade atomization and drop breakup model for high-velocity dense sprays”, Atomiz. Sprays, 14, 211-242 (2004).
13 Tanner, F.X., “Liquid jet atomization and droplet breakup modeling of nonevaporating diesel fuel sprays”, SAE Trans. J. Engines, 106 (3), 127-140 (1998).
14 Reitz, R.D., “Modeling atomization processes in high-pressure vaporizing sprays”, Atomization Spray Technol., 3, 309-337 (1987).
15 Brazier-Smith, P.R., Jennings, S.G., Lantham, J., “The interactions of falling water drops: coalescence”, Proc. R. Soc. Lond. A, 326,393-407 (1972).
16 Ashgriz, N., Poo, J.Y., “Coalescence and separation in binary collisions of liquid drops”, J. Fluid Mech., 221, 183-204 (1990).
17 Xiong, H.B., Zheng, L.L., Sampath, S., Williamson, R.L., Fincke, J.R., “Three-dimensional simulation of plasma spray: effects of carrier gas flow and particle injection on plasma jet and entrained particle behavior”, Int. J. Heat Mass Transfer, 47, 5189-5200 (2004).
18 Xiong, H., Zheng, L.L., Sampath, S., Fincke, J., Williamson, R., “Three-dimensional simulation of plasma spray jet”, Proc. 2003 ASME Summer Heat Transfer Conf., 3, 689-697 (2003).
19 Baydar, E., Ozmen, Y., “An experimental and numerical investigation on a confined impinging air jet at high Reynolds numbers”, Appl. Therm. Eng., 25, 409-421 (2005).
20 Liu, L.S., Fu, M.L., Wu, J.X., “The distribution of SMD downstream the discharge orifices of effervescent atomizers”, J. Eng. Thermophys., 22, 653-656 (2001). (in Chinese)
21 Yu, Y., Zhou, L.X., Wang, B.G., “Modeling of fluid turbulence modification using two-time-scale dissipation models and accounting for the particle wake effect”, Chin. J. Chem. Eng., 14 (3),314-320 (2006).
22 Wan, Y.P., Pasad, V., Wang, G.X., Sampath, S., Fincke, J.R., “Model and powder particle heating, melting, resolidification, and evaporation in plasma spraying procsees”, J. Heat Transfer, 121, 691-699 (1999).
23 Rosin, P., Rammler, E., “The laws governing the fineness of powdered coal”, J. Inst. Fuel, 7, 29-36 (1933).

[1]	Jiahao Xing, Huaizhi Han, Ruitian Yu, Wen Luo. Numerical simulation of flow and heat transfer of n-decane in sub-millimeter spiral tube at supercritical pressure [J]. Chinese Journal of Chemical Engineering, 2023, 60(8): 173-185.
[2]	Jindong Dai, Chi Zhai, Jiali Ai, Guangren Yu, Haichao Lv, Wei Sun, Yongzhong Liu. A cellular automata framework for porous electrode reconstruction and reaction-diffusion simulation [J]. Chinese Journal of Chemical Engineering, 2023, 60(8): 262-274.
[3]	Lijuan Zhao, Zhe Tan, Xiaoguang Zhang, Qijun Zhang, Wei Wang, Qiang Deng, Jie Ma, De'an Pan. Research on process modeling and simulation of spent lead paste desulfurization enhanced reactor [J]. Chinese Journal of Chemical Engineering, 2023, 60(8): 293-303.
[4]	Jian Han, Xinhua Liu, Shanwei Hu, Nan Zhang, Jingjing Wang, Bin Liang. Optimization of decoupling combustion characteristics of coal briquettes and biomass pellets in household stoves [J]. Chinese Journal of Chemical Engineering, 2023, 59(7): 182-192.
[5]	Wende Tian, Jiawei Zhang, Zhe Cui, Haoran Zhang, Bin Liu. Microscopic mechanism study and process optimization of dimethyl carbonate production coupled biomass chemical looping gasification system [J]. Chinese Journal of Chemical Engineering, 2023, 58(6): 291-305.
[6]	Huan-Huan Yin, Yin-Lei Han, Xiao Yan, Yi-Xin Guan. Proanthocyanidins prevent tau protein aggregation and disintegrate tau filaments [J]. Chinese Journal of Chemical Engineering, 2023, 57(5): 63-71.
[7]	Jixiang Liu, Xin Zhou, Gengfei Yang, Hui Zhao, Zhibo Zhang, Xiang Feng, Hao Yan, Yibin Liu, Xiaobo Chen, Chaohe Yang. Conceptual carbon-reduction process design and quantitative sustainable assessment for concentrating high purity ethylene from wasted refinery gas [J]. Chinese Journal of Chemical Engineering, 2023, 57(5): 290-308.
[8]	Shengfeng Luo, Song Zhang, Yiping Zeng, Hui Zhang, Lili Zheng, Zhaopeng Xu. Study on oxygen transport and titanium oxidation in coating cracks under parallel gas flow based on LBM modelling [J]. Chinese Journal of Chemical Engineering, 2023, 56(4): 15-24.
[9]	Jikai Dong, Bing Wang, Xinjie Wang, Chenxi Cao, Shikuan Chen, Wenli Du. Optimization of sensor deployment sequences for hazardous gas leakage monitoring and source term estimation [J]. Chinese Journal of Chemical Engineering, 2023, 56(4): 169-179.
[10]	Shuangfei Zhao, Yingying Nie, Wenyan Zhang, Runze Hu, Lianzhu Sheng, Wei He, Ning Zhu, Yuguang Li, Dong Ji, Kai Guo. Microfluidic field strategy for enhancement and scale up of liquid–liquid homogeneous chemical processes by optimization of 3D spiral baffle structure [J]. Chinese Journal of Chemical Engineering, 2023, 56(4): 255-265.
[11]	Qiaoqiao Liu, Guihong Lin, Jian Zhou, Liangliang Huang, Chang Liu. Hydrogen-bond mediated and concentrate-dependent NaHCO₃ crystal morphology in NaHCO₃–Na₂CO₃ aqueous solution: Experiments and computer simulations [J]. Chinese Journal of Chemical Engineering, 2023, 55(3): 49-58.
[12]	Fufeng Liu, Luying Jiang, Jingcheng Sang, Fuping Lu, Li Li. Molecular basis of cross-interactions between Aβ and Tau protofibrils probed by molecular simulations [J]. Chinese Journal of Chemical Engineering, 2023, 55(3): 173-180.
[13]	Pan Huang, Zekai Zhang, Yuxin Chen, Changwei Liu, Yong Zhang, Cheng Lian, Yajun Ding, Honglai Liu. Multi-scale simulation of diffusion behavior of deterrent in propellant [J]. Chinese Journal of Chemical Engineering, 2023, 54(2): 29-35.
[14]	Jialei Sha, Chenyi Liu, Zhihong Ma, Weizhong Zheng, Weizhen Sun, Ling Zhao. Understanding the interfacial behaviors of benzene alkylation with butene using chloroaluminate ionic liquid catalyst: A molecular dynamics simulation [J]. Chinese Journal of Chemical Engineering, 2023, 54(2): 44-52.
[15]	Baodong Zhao, Yinglei Wang, Fulei Gao, Yajing Liu, Weixiao Liu, Feng Ding. Understanding the alkyl effect of geminal dinitropropyl ester energetic plasticizers on hydroxyl terminated polybutadiene (HTPB): Simultaneous tuning on low temperature behavior and processability [J]. Chinese Journal of Chemical Engineering, 2023, 54(2): 364-371.