气泡引起的皇冠型水冢实验与数值研究

李帅; 张阿漫; 王诗平

doi:10.7498/aps.62.194703

摘要

气泡在近自由液面运动过程中与自由液面发生强烈的耦合作用, 自由液面会出现极其复杂的物理现象, 形成的水冢类型繁多. 本文将针对皇冠型水冢, 基于势流理论, 建立气泡与自由液面耦合作用的数值模型, 并在气泡完成射流向下运动时, 忽略气泡对自由液面的影响, 继续模拟自由液面的运动过程. 同时利用高速摄影对近自由面的电火花气泡进行实验研究, 数值结果与实验符合良好, 相对误差在10%以内. 通过数值计算, 发现了围裙卷缩和主峰珠化等特殊的物理现象, 研究了气泡初始条件与韦伯数对皇冠型水冢动态特性的影响, 旨为皇冠型水冢的研究提供参考.

关键词:

Abstract

Strong interaction between bubble and free-surface will cause complex phenomena, producing many different types of spike. Based on potential flow theory, a numerical model was established to simulate the crown spike. A downward jet was formed during the bubble’s collapsing, and simulation of the free-surface was continued regard less of the ring bubble’s effect on it. Simulation results show good agreement with the experiment conducted with a high speed camera and a spark-generated device, and the relative error was less than 10%. Some special phenomena were found through numerical calculation, such as apron-shrink and peak-dropped. Finally, the effects of initial condition and Weber number on crown-type water column were studied.

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

基金项目: 优秀青年科学基金(51222904);国家自然科学基金重点项目(50939002)和国家安全重大基础研究项目(批准号:613157)资助的课题.

Authors and contacts

1.
School of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China

Funds: Project supported by the Excellent Young Scientists Fund (Grand No. 51222904), the Key Program of the National Natural Science Foundation of China (Grant No. 50939002), and the National Basic Research of China (Grant No. 613157).

参考文献

[1]	Gibson D C 1968 The Third Australasian Conference on Hydraulic and Fluid Mechanics Sydney Australia,November 25-29, 196 p210
[2]	Blake J R, Gibson D C 1987 J. Fluid Mech. 19 99
[3]	Wang Q X, Yeo K S, Khoo B C, Lam K Y 1996 Theoret. Comput. Fluid Dynamics 8 73
[4]	Wang Q X, Yeo K S, Khoo B C, Lam K Y 1996 Comput. Fluids 25 607
[5]	Pearson A, Cox E, Blake J R, Otto S R 2004 Eng. Anal. Bound. Elem. 28 295
[6]	Zhang A M, Yao X L 2008 Acta Phys. Sin. 57 339 (in Chinese) [张阿漫, 姚熊亮 2008 物理学报 57 339]
[7]	Li Z R, Sun L, Zong Z, Dong J 2012 Acta Mech. Sin. 28 51
[8]	Liu Y L, Zhang A M, Wang S P, Tian Z L 2012 Acta Phys. Sin. 61 224702 (in Chinse) [刘云龙, 张阿漫, 王诗平, 田昭丽 2012 物理学报 61 224702]
[9]	Zhang A M, Wang C, Wang S P, Cheng X D 2012 Acta Phys. Sin. 61 084701 (in Chinese) [张阿漫, 王超, 王诗平, 程晓达 2012 物理学报 61 084701]
[10]	Newman J N 1977 Marine Hydrodynamics (1st Ed.) (London: MIT Press) p131
[11]	Klaseboer E, Manic R, Khoo B C, Derek Y C C 2011 Eng. Anal. Bound. Elem. 35 489
[12]	Wang C, Khoo B C 2004 J. Comput. Phys. 194 451
[13]	Lee M, Klaseboer E, Khoo B C 2007 J. Fluid Mech. 570 407

施引文献

[1]	Gibson D C 1968 The Third Australasian Conference on Hydraulic and Fluid Mechanics Sydney Australia,November 25-29, 196 p210
[2]	Blake J R, Gibson D C 1987 J. Fluid Mech. 19 99
[3]	Wang Q X, Yeo K S, Khoo B C, Lam K Y 1996 Theoret. Comput. Fluid Dynamics 8 73
[4]	Wang Q X, Yeo K S, Khoo B C, Lam K Y 1996 Comput. Fluids 25 607
[5]	Pearson A, Cox E, Blake J R, Otto S R 2004 Eng. Anal. Bound. Elem. 28 295
[6]	Zhang A M, Yao X L 2008 Acta Phys. Sin. 57 339 (in Chinese) [张阿漫, 姚熊亮 2008 物理学报 57 339]
[7]	Li Z R, Sun L, Zong Z, Dong J 2012 Acta Mech. Sin. 28 51
[8]	Liu Y L, Zhang A M, Wang S P, Tian Z L 2012 Acta Phys. Sin. 61 224702 (in Chinse) [刘云龙, 张阿漫, 王诗平, 田昭丽 2012 物理学报 61 224702]
[9]	Zhang A M, Wang C, Wang S P, Cheng X D 2012 Acta Phys. Sin. 61 084701 (in Chinese) [张阿漫, 王超, 王诗平, 程晓达 2012 物理学报 61 084701]
[10]	Newman J N 1977 Marine Hydrodynamics (1st Ed.) (London: MIT Press) p131
[11]	Klaseboer E, Manic R, Khoo B C, Derek Y C C 2011 Eng. Anal. Bound. Elem. 35 489
[12]	Wang C, Khoo B C 2004 J. Comput. Phys. 194 451
[13]	Lee M, Klaseboer E, Khoo B C 2007 J. Fluid Mech. 570 407

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