水平管道内横向流气泡生长变化模拟研究
Simulation of Bubble Growth in Transverse Flow in Horizontal Pipe
摘要: 采用数值模拟方法对恒定水速下管道中气体喷射产生的气泡进行分析，追踪气泡生成和脱离的演变情况，重点研究了横向水流速度和通气速度对气泡生成的影响。计算采用二阶迎风差分格式的有限体积法求解二维Navier-Stocks方程，并运用VOF (流体体积法)方法捕捉气液界面。计算结果表明：水流速度主导气泡的生成形态，一定程度上也受通气速度影响；生成气泡的等效直径随通气速度的增加而呈线性增长，水流速度越小，生成气泡随通气速度的增加越快；通气速度一定，随着水流速度的增加，气泡脱离位置的横坐标初期缓慢增长，当水流速度到达0.5 m/s后呈线性增长。伴随着气泡形态的变化，气泡参数随水流速度和通气速度改变时，呈现出多样性和多变性。
Abstract: Numerical simulation methods are used to analyze the bubbles generated by gas jets in pipelines under constant water velocity, to track the evolution of bubble generation and separation, and to focus on the influence of lateral water velocity and ventilation velocity on bubble generation. A fi-nite volume method with second-order upwind difference scheme is used to solve the two-dimen- sional Navier-Stocks equation. The VOF (Volume of Fluid Method) method is used to capture the gas-liquid interface. The calculation results show that the water velocity dominates the bubble generation form which also affected by the ventilation speed to a certain extent; the size of the generated bubbles increases linearly with the increase of the ventilation speed, the smaller the water velocity, the faster the generated bubbles increase with the ventilation speed. When the ventilation speed is constant, with the increase of the water velocity, the length of the air column when the bubble is separated increases slowly at the initial stage, and linearly increases when the water velocity reaches 0.5 m/s. Along with the change of bubble shape, bubble parameters show diversity and variability when changing with water velocity and ventilation speed.
文章引用：钱凯凯, 王治云. 水平管道内横向流气泡生长变化模拟研究[J]. 建模与仿真, 2021, 10(2): 424-434. https://doi.org/10.12677/MOS.2021.102043

参考文献

[1] 孟清正. 军用高速艇主柴油机水下排气方式的试验研究[J]. 船海工程, 2002, 6(14): 27-29.
[2] Robinson, P.B., Boulton-Stone, J.M. and Blake, J.R. (1995) Application of the Boundary Integral Method to the Interaction of Rising Two-Dimensional Deformable Gas Bubbles. Journal of Engineering Mathematics, 29, 393-412. [Google Scholar] [CrossRef] 
[3] Wang, N., Chen, X., Yuan, J., et al. (2016) Bubble Formation at a Submerged Orifice in High-Speed Horizontal Oscillation. Metallurgical and Materials Transactions B, 47, 3362-3374. [Google Scholar] [CrossRef] 
[4] Zhu, K., Li, Y., Wang, J., et al. (2018) Theoretical Study on Bubble Formation and Flow Condensation in DownflowChannel with Horizontal Gas Injection. Heat and Mass Transfer, 54, 3329-3343. [Google Scholar] [CrossRef] 
[5] Gus’kov, O.B. (2016) The Rotation of a Rigid Sphere in a Viscous Emulsion of Gas Bubbles. Journal of Applied Mathematics and Mechanics, 80, 478-484. [Google Scholar] [CrossRef] 
[6] Tassin, A.L. and Nikitopoulos, D.E. (1995) Non-Intrusive Measurements of Bubble Size and Velocity. Experiments in Fluids, 19, 121-132. [Google Scholar] [CrossRef] 
[7] Smith, T.R., Schlegel, J.P., Hibiki, T., et al. (2012) Two-Phase Flow Structure in Large Diameter Pipes. International Journal of Heat and Fluid Flow, 33, 156-167. [Google Scholar] [CrossRef] 
[8] Kong, R., Rau, A., Kim, S., et al. (2019) A Robust Image Analysis Technique for the Study of Horizontal Air-Water Plug Flow. Experimental Thermal and Fluid Science, 102, 245-260. [Google Scholar] [CrossRef] 
[9] Kim, T.W., Al-Safran, E., Pereyra, E., et al. (2020) Experimental Study Using Advanced Diagnostics to Investigate Slug Aeration and Bubble Behavior in High Liquid Viscosity Horizontal Slug Flow. Journal of Petroleum Science and Engineering, 191, Article ID: 107202. [Google Scholar] [CrossRef] 
[10] Amaral, A., Schraa, O., Rieger, L., et al. (2017) Towards Ad-vanced Aeration Modelling: From Blower to Bubbles to Bulk. Water Science and Technology: A Journal of the Interna-tional Association on Water Pollution Research, 75, 507- 517. [Google Scholar] [CrossRef] [PubMed]
[11] Zhou, J., Zhang, Y. and Wei, J.A. (2018) Modified Bubble Dynamics Model for Predicting Bubble Departure Diameter on Mi-cro-Pin-Finned Surfaces under Microgravity. Applied Thermal Engineering, 132, 450-562. [Google Scholar] [CrossRef] 
[12] Gupta, A. and Kumar, R. (2008) Lattice Boltzmann Simulation to Study Multiple Bubble Dynamics. International Journal of Heat and Mass Transfer, 51, 5192-5203. [Google Scholar] [CrossRef] 
[13] 李书磊, 蔡伟华, 李凤臣. 水平管内汽液两相流流型及换热特性数值模拟[J]. 哈尔滨工业大学学报, 2014, 46(8): 57-64.
[14] Tsui, Y.Y., Liu, C.Y. and Lin, S.W. (2017) Coupled Level-Set and Volume-of-Fluid Method for Two-Phase Flow Calculations. Numerical Heat Transfer, Part B: Fundamentals, 71, 173-185. [Google Scholar] [CrossRef] 
[15] Wang, B. and Socolofsky, S.A. (2015) On the Bubble Rise Velocity of a Continually Released Bubble Chain in Still Water and with Crossflow. Physics of Fluids, 27, 103301-103321. [Google Scholar] [CrossRef] 
[16] Chen, B., Nishio, M., Song, Y., et al. (2009) TheFate of CO2 Bubble Leaked from Seabed. Energy Procedia, 1, 4969-4976. [Google Scholar] [CrossRef] 
[17] 马斗. 单孔气泡动力学行为的VOF数值模拟[D] : [硕士学位论文]. 天津: 天津大学化学工程系, 2009.
[18] Kulkarni, A.A. and Joshi, J.B. (2005) Bubble Formation and Bubble Rise Velocity in Gas-Liquid Systems: A Review. Industrial & Engineering Chemistry Research, 44, 5873-5931. [Google Scholar] [CrossRef] 
[19] Mandhane, J.M., Gregory, G.A. and Aziz, K. (1974) A Flow Pattern Map for Gas-Liquid Flow in Horizontal Pipes. International Journal of Multiphase Flow, 1, 537-553. [Google Scholar] [CrossRef] 
[20] Oryall, G.N. and Brimacombe, J.K. (1976) The Physical Behavior of a Gas Jet Injected Horizontally into Liquid Metal. Metallurgical Transactions B, 7, 391-403. [Google Scholar] [CrossRef] 

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