有倾角的竖直壁面附近气泡与自由面相互作用研究

刘云龙; 汪玉; 张阿漫

doi:10.7498/aps.62.214703

摘要

本文采用边界元方法, 研究了具有倾角的竖直壁面附近气泡与自由面的相互耦合作用. 首先基于不可压缩势流理论, 建立了边界元气泡动力学模型, 并针对无限壁面附近的气泡和自由面作用问题, 采用镜像法模拟了倾斜壁面的作用. 然后, 基于本文所建立的数值模型, 分别计算了不同倾角的壁面对气泡和自由面水冢形态的影响, 发现倾斜角度会导致自由面的边界条件不连续, 从而对其运动产生明显的非线性影响. 最后, 分别分析了无浮力和有浮力情况下倾斜角度对其影响规律.

关键词:

Abstract

Study on the interaction between bubble and free surface near an inclined vertical wall is carried out in this paper. Firstly, boundary element model for bubble dynamics based on incompressible potential flow is established, and the solid wall is modeled using the images of bubble and free surface. Then, through the numerical model, bubble dynamics near the walls with various inclination angles are studied respectively. We find that the inclination would lead discontinuity of the boundary condition of intersection between free surface and solid wall, which can affect its motion nonlinearly. Finally, the influence of the inclination angle on the bubble and spike dynamics is analyzed.

Keywords:

作者及机构信息

1.
哈尔滨工程大学船舶工程学院, 哈尔滨 150001;

2.
中国人民解放军92857部队, 北京 100161

基金项目: 国家安全重大基础研究项目子专题 (批准号: 613157)、优秀青年科学基金 (批准号: 51222904)、国防基础科研计划 (批准号: B2420133001) 和国家自然科学基金 (批准号: 11202057) 资助的课题.

Authors and contacts

1.
Collage of Shipbuilding and Engineering, Harbin Engineering University, Harbin 150001, China;

2.
Unit 92857 of PLA, Beijing 100161, China

Funds: Project supported by the National Security Major Basic Research Program of China (Grant No. 613157), the Outstanding Youth Fund of China (Grant No. 51222904) Defense Industrial Technology Development Program, China (Grant No. B2420133001), and the National Natural Science Foundation of China (Grant No. 11202057).

参考文献

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[2]	Plesset M S, Chapman R B 1971 J. Fluid Mech. 47 283
[3]	Wang H, Zhang Z Y, Yang Y M, Hu Y, Zhang H S 2008 Chin. Phys. B 17 3847
[4]	Blake J R Gibson D C 1981 J. Fluid Mech. 111 123
[5]	Blake J R, Gibson D C 1987 Annu. Rev. Fluid Mech. 19 99
[6]	Pearson A, Cox E, Blake J R Otto S R 2004 Eng. Anal. Bound. Elem. 28 295
[7]	Blake J R, Taib B B, Dohert Y G 1986 J. Fluid Mech. 170 479
[8]	Wang Q X 1998 Theoret. Comput. Fluid Dynamics 12 29
[9]	Klaseboer E, Khoo B C, Hung K C 2005 J. Fluids Struct 21 395
[10]	Khoo B C, Shervani-Tabar M T 2009 Exp. Fluids 46 419
[11]	Dadvand A, Khoo B C, Shervani-Tabar M T Khalilpourazary S 2012 Engineering Analysis with Boundary Elements 36 1595
[12]	Chu W H, Zhang A M, Yang H, Cao X Y 2013 Journal of Vibration and Shock (in press) (in Chinese) [初文华, 张阿漫, 羊慧 2013 振动与冲击 (in Press)]
[13]	Klaseboer E, Huang K C, Wang C, Wang C W, Khoo B C, Boyce P, Debono S, Charlier H 2005 J. Fluid Mech. 537 387
[14]	Turangan C K, Ong G P, Klaseboer E, Khoo B C 2006 Journal of Applied Physics 100 054910
[15]	Liu Y L, Zhang A M, Wang S P, Tian Z L 2013 Acta Phys. Sin. (in Press) 62 144703 (in Chinese) [刘云龙, 张阿漫, 王诗平, 田昭丽 2013 62 144703]
[16]	Rayleigh J W 1917 Philos Magazine 34 94
[17]	Liu Y L, Zhang A M, Wang S P, Tian Z L 2013 Acta Phys. Sin. 61 224702 (in Chinese) [刘云龙, 张阿漫, 王诗平, 田昭丽 2012 61 224702]
[18]	Pearson A, Cox E, Blake J R, Otto S R 2004 Engineering Analysis with Boundary Elements 28 295
[19]	Wang C, Khoo B C 2004 Journal of Computional Physics 194 451
[20]	Zhang A M, Yao X L 2008 Chin. Phys. B 17 927

施引文献

[1]	Cole R H 1948 Underwater Explosion (1st Ed.) (New Jersey: Princeton University Press) p118
[2]	Plesset M S, Chapman R B 1971 J. Fluid Mech. 47 283
[3]	Wang H, Zhang Z Y, Yang Y M, Hu Y, Zhang H S 2008 Chin. Phys. B 17 3847
[4]	Blake J R Gibson D C 1981 J. Fluid Mech. 111 123
[5]	Blake J R, Gibson D C 1987 Annu. Rev. Fluid Mech. 19 99
[6]	Pearson A, Cox E, Blake J R Otto S R 2004 Eng. Anal. Bound. Elem. 28 295
[7]	Blake J R, Taib B B, Dohert Y G 1986 J. Fluid Mech. 170 479
[8]	Wang Q X 1998 Theoret. Comput. Fluid Dynamics 12 29
[9]	Klaseboer E, Khoo B C, Hung K C 2005 J. Fluids Struct 21 395
[10]	Khoo B C, Shervani-Tabar M T 2009 Exp. Fluids 46 419
[11]	Dadvand A, Khoo B C, Shervani-Tabar M T Khalilpourazary S 2012 Engineering Analysis with Boundary Elements 36 1595
[12]	Chu W H, Zhang A M, Yang H, Cao X Y 2013 Journal of Vibration and Shock (in press) (in Chinese) [初文华, 张阿漫, 羊慧 2013 振动与冲击 (in Press)]
[13]	Klaseboer E, Huang K C, Wang C, Wang C W, Khoo B C, Boyce P, Debono S, Charlier H 2005 J. Fluid Mech. 537 387
[14]	Turangan C K, Ong G P, Klaseboer E, Khoo B C 2006 Journal of Applied Physics 100 054910
[15]	Liu Y L, Zhang A M, Wang S P, Tian Z L 2013 Acta Phys. Sin. (in Press) 62 144703 (in Chinese) [刘云龙, 张阿漫, 王诗平, 田昭丽 2013 62 144703]
[16]	Rayleigh J W 1917 Philos Magazine 34 94
[17]	Liu Y L, Zhang A M, Wang S P, Tian Z L 2013 Acta Phys. Sin. 61 224702 (in Chinese) [刘云龙, 张阿漫, 王诗平, 田昭丽 2012 61 224702]
[18]	Pearson A, Cox E, Blake J R, Otto S R 2004 Engineering Analysis with Boundary Elements 28 295
[19]	Wang C, Khoo B C 2004 Journal of Computional Physics 194 451
[20]	Zhang A M, Yao X L 2008 Chin. Phys. B 17 927

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