Numerical Simulation Methods of MicroBubbles Drag Reduction and Scale Effect

Abstract

Abstract: Abstract： Based on the mixture model, Eulertwofluid model and population balance model, bubble drag reduction using gas injection for the flow over a twodimension flat plate was numerically simulated. Effects of bubble size and gas injection rate on bubble drag reduction and the scale effect were analyzed. The results show that the decrease of bubble size can increase drag reduction which increases along with the increase of gas injection rates within a certain range. When the gas injection rate is too low or too high, drag reduction would decrease. The results obtained by using the population balance model are closer to the experimental data than those obtained by using other models. If Reynolds number increases due to the increase of the plate size, the drag reduction level would decrease.

Key words: Key words： bubble, drag reduction, scale effect, population balance model, numerical simulation

CLC Number:

O 359.1

FU Huipinga,b,LI Jieb. Numerical Simulation Methods of MicroBubbles Drag Reduction and Scale Effect [J]. Journal of Shanghai Jiaotong University, 2016, 50(02): 278-282.

References

［1］LATORRE R. Ship hull drag reduction using bottom air injection［J］. Ocean Engineering, 1997, 24(2): 6175. ［2］王丽艳, 郝思文. 气泡减阻技术研究进展［J］. 船海工程, 2011, 40(6): 109113. WANG Liyan, HAO Siwen. On the development of bubble drag reduction technique［J］. Ship and Ocean Engineering, 2011, 40(6): 109113. ［3］CECCIO S L. Friction drag reduction of external flows with bubble and gas injection［J］. Annual Review of Fluid Mechanics, 2010, 42:183203. ［4］王家楣, 郑晓伟, 姜曼松. 船舶吃水对微气泡减阻影响的水池试验研究［J］. 船舶工程, 2004, 26(6): 912. WANG Jiamei, ZHENG Xiaowei, JIANG Mansong. Test research on drag reduction of ship model at different draft by microbubble in towing basin［J］. Ship Engineering, 2004, 26(6): 912. ［5］丁力. 微气泡减阻喷气参数换算关系研究［D］. 武汉：武汉理工大学交通学院, 2012. ［6］陈显文. 回转体微气泡减阻和噪声的数值研究［D］. 武汉：华中科技大学船舶与海洋工程学院, 2012. ［7］王炳亮. 船舶微气泡减阻数值模拟及机理研究［D］. 哈尔滨：哈尔滨工程大学船舶工程学院, 2011. ［8］MADAVAN N K, DEUTSCH S, MERKLE C L. Reduction of turbulent skin friction by microbubbles［J］. Physical Fluids, 1984, 27(2): 356363. ［9］MOHANARANGAM K, CHEUNG S C P, TU J Y, et al. Numerical simulation of microbubble drag reduction using population balance model［J］. Ocean Engineering, 2009, 36(11): 863872. ［10］沙作良, 伍倩, 王学魁. 不同黏度下气液体系流体力学行为的PBM模拟［J］. 化工进展, 2009, 28(S): 382387. SHA Zuoliang, WU Qian, WANG Xuekui. PBM simulation on fluid mechanics of gasliquid system with different viscosity［J］. Chemical Industry and Engineering Progress, 2009, 28(S): 382387. ［11］傅慧萍. 基于相群平衡模型的舰船气泡尾流数值模拟［J］. 上海交通大学学报, 2013, 47(4): 118123. FU Huiping. Numerical simulation of ship bubbly wake based on population balance model［J］. Journal of Shanghai Jiaotong University, 2013, 47(4): 118123.

[1]	GONG Chao, HOU Yuanhang, ZHANG Yuqi, LIU Dianyong, WAN Yuejin. Characterization of Surface Motion of Submerged Unmanned Ship in Freak Waves Environment [J]. Journal of Shanghai Jiao Tong University, 2025, 59(4): 447-457.
[2]	LI Yi, OU Shuyan, LIANG Weidong, DONG Jiabao, ZHUANG Zhidong. Numerical Simulation of Rocket Fairing Spin Separation in Low-Altitude High-Dynamic-Pressure Environment [J]. Air & Space Defense, 2025, 8(1): 102-108.
[3]	XU Haodong, YU Tongzhen, FAN Wei, LI Mingguang, LIU Nianwu. Influence of Slurry Diffusion on Drag Reduction During Pipe Jacking Cnstruction [J]. Journal of Shanghai Jiao Tong University, 2024, 58(7): 1067-1074.
[4]	DENG Hefang (邓贺方), XIA Kailong (夏凯龙), TENG Jinfang (滕金芳), QIANG Xiaoqing (羌晓青), ZHU Mingmin^∗ (朱铭敏), LU Shaopeng (卢少鹏). Performance Effect of Trench Casing on a Transonic Compressor at Different Rotating Speeds [J]. J Shanghai Jiaotong Univ Sci, 2024, 29(6): 1151-1160.
[5]	FENG Yangyang, DING Haoliang, HU Pingshan, YAN Bo. Steady-State Temperature Field Simulation of Injection Mold Based on Finite Volume Method [J]. Journal of Shanghai Jiao Tong University, 2024, 58(4): 461-467.
[6]	LIU Yibo1, BI Yuqin1, MA Qiang2, 3, XIAO Huaping1, LIU Shuhai1. Design and Optimization of Impeller for Underwater Helico-axial Multiphase Pump [J]. Ocean Engineering Equipment and Technology, 2024, 11(4): 14-20.
[7]	WANG Hui, DU Dengxuan, LIU Haichao, YU Guoliang, ZHANG Minxi. Numerical Study on Local Scour at Composite Piles with Collars in Uniform Flows [J]. Ocean Engineering Equipment and Technology, 2024, 11(3): 1-9.
[8]	ZHANG Nianfan, XIAO Longfei, CHEN Gang. A Review of Numerical Studies of Wave Impacts on Marine Structures [J]. Journal of Shanghai Jiao Tong University, 2024, 58(2): 127-140.
[9]	HONG Lei¹ (洪蕾), XIAO Hao¹ (肖皓), YE Jia² (叶佳), MA Guohong^1* (马国红). Numerical Simulation of Radial Ultrasonic Assisted MIG Welding Arc [J]. J Shanghai Jiaotong Univ Sci, 2024, 29(2): 330-338.
[10]	LI Shuxun (李树勋), SHEN Hengyun^* (沈珩云), LIU Bincai (刘斌才),HU Yinggang (胡迎港), MA Tingqian (马廷前). Pressure Pulse Response of High Temperature Molten Salt Check Valve Hit by Crystal Particles [J]. J Shanghai Jiaotong Univ Sci, 2024, 29(2): 271-279.
[11]	GUO Tongbiao, ZHANG Ji, LI Xinliang. Direct Numerical Simulation of Strong Shock Wave and Boundary Layer Interactions in a Compression Corner [J]. Air & Space Defense, 2024, 7(2): 29-35.
[12]	HAN Xueyang, WU Lin, LIU Zhibing, YU Dongwei, KONG Xiangyi, ZHANG Dayong. Influence of Convection Heat Transfer of Tread Plate in Polar Environment [J]. Journal of Shanghai Jiao Tong University, 2024, 58(11): 1687-1697.
[13]	YANG Chun, GUO Chunyu, SUN Cong, WANG Chao, YUE Qihui. Numerical Study of Scale Effects of Tip Clearance Flow Field of Pump-Jet Propulsor [J]. Journal of Shanghai Jiao Tong University, 2024, 58(11): 1674-1686.
[14]	HE Wenxuan, YE Maosheng, ZHANG Yu, ZHANG Yatai, DAI Xiaohui, ZHANG Qi. Evaluation of the Ultimate Strength of Suspension Chains under Wear Conditions [J]. Ocean Engineering Equipment and Technology, 2024, 11(1): 23-29.
[15]	ZHU Xiaodong, ZHOU Dongrong, GAO Dingquan. Numerical Simulation of Coupled Dynamic Response of Integral Salvage of Large Tonnage Wreck [J]. Journal of Shanghai Jiao Tong University, 2023, 57(S1): 203-212.