EI、Scopus 收录
中文核心期刊
Quick Search Issue Search Advanced Search
Volume 56 Issue 12
Dec.  2024
Turn off MathJax
Article Contents
Abstract
References
Related Articles
Wang Yueming, Sun Yuanxiang, Wang Cheng. The influence of compressibility on RT instability of bubble. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(12): 3418-3429. DOI: 10.6052/0459-1879-24-367
Citation: Wang Yueming, Sun Yuanxiang, Wang Cheng. The influence of compressibility on RT instability of bubble. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(12): 3418-3429. DOI: 10.6052/0459-1879-24-367
shu

THE INFLUENCE OF COMPRESSIBILITY ON RT INSTABILITY OF BUBBLE

  • State Key Laboratory of Explosion Science and Safety Protection, Beijing Institute of Technology, Beijing 100081, China

  • Received Date: July 28, 2024
  • Accepted Date: November 17, 2024
  • Available Online: November 17, 2024
  • Published Date: November 18, 2024
    Graphical Abstract
    • Abstract
  • The study of bubble load is necessary for the design of ships and marine buildings. However, the bubbles in the fluid are not stable. The Rayleigh-Taylor (RT) instability of the bubble will affect the load behavior of the bubble on the surrounding structure. For example, interface RT instability prevents bubble from forming jets with destructive effects. Thus, the instability of the bubble interface affects the damage ability of the underwater warhead. The bubble formed by the detonation products of underwater explosion has high internal pressure and large size. In the underwater explosion, the internal pressure of the bubble can reach tens of thousands of atmospheres. In this case, the compression of the water cannot be ignored. However, in the traditional analytical theory of RT instability for bubble, liquids are assumed to be incompressible. Therefore, an analytical theory of RT instability for bubble containing compressibility is established in this paper. The conclusions of this paper are as follows: For underwater explosion bubble with high internal pressure and large size, compressibility inhibits the interface instability slightly when the bubbles expand. Compressibility promotes interfacial instability when bubble contraction. Moreover, compressibility can bring forward the time when exponential growth of RT instability occurs. In contrast, for low internal pressure bubbles, compressibility simply inhibits RT instability. For micrometer bubble, compressibility reduces the first peak of interfacial disturbance. Similarly, compressibility can bring forward the time when exponential growth of RT instability occurs for micrometer bubble. In addition, the surface tension and viscosity of water can inhibit the interfacial RT instability of micrometer bubble. In contrast, the surface tension and viscosity of water have little effect on the interfacial RT instability of bubble formed by underwater explosions.
    • FullText(HTML)
    • References (33)
  • [1]
    周章涛, 刘建湖, 刘国振等. 水下爆炸空化研究进展. 装备环境工程, 2023, 20(9): 12-25 (Zhou Zhangtao, Liu Jianhu, Liu Guozheng, et al. Research progress of underwater explosion cavitation. Equipment Environment Engineering, 2023, 20(9): 12-25 (in Chinese)

    Zhou Zhangtao, Liu Jianhu, Liu Guozheng, et al. Research progress of underwater explosion cavitation. Equipment Environment Engineering, 2023, 20(9): 12-25 (in Chinese)
    [2]
    马静雯, 王诗平, 杨英狄等. 考虑热效应的空化流动研究进展. 力学学报, 2024, 56(8): 2165-2183 (Ma Jingwen, Wang Shiping, Yang Yingdi, et al. A review on cavitation flows considering thermal effects. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(8): 2165-2183 (in Chinese)

    Ma Jingwen, Wang Shiping, Yang Yingdi, et al. A review on cavitation flows considering thermal effects. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(8): 2165-2183 (in Chinese)
    [3]
    Blake JR, Taib BB, Doherty G. Transient cavities near boundaries . 1. Rigid boundary. Journal of Fluid Mechanics, 1986, 170: 479-497
    [4]
    程怀玉, 黄佳乐, 韩承灶等. 不同空化数下螺旋桨叶片表面空蚀风险分布研究. 武汉大学学报(工学版), 2023, 56(12): 1527-1535 (Cheng Huaiyu, Huang Jiale, Han Chengzao, et al. Investigation of the risk of cavitation erosion on propeller blade surface with different cavitation numbers. Journal of Wuhan University (Engineering ), 2023, 56(12): 1527-1535 (in Chinese)

    Cheng Huaiyu, Huang Jiale, Han Chengzao, et al. Investigation of the risk of cavitation erosion on propeller blade surface with different cavitation numbers. Journal of Wuhan University (Engineering), 2023, 56(12): 1527-1535 (in Chinese)
    [5]
    程怀玉, 季斌, 龙新平等. 旋涡空化水动力学特性研究进展与展望. 力学进展, 2024, 54(1): 86-137 (Cheng Huaiyu, Ji Bin, Long Xinping, et al. Research progresses and prospects of vortex cavitation dynamics. Advances in Mechanics, 2024, 54(1): 86-137 (in Chinese) doi: 10.6052/1000-0992-23-045

    Cheng Huaiyu, Ji Bin, Long Xinping, et al. Research progresses and prospects of vortex cavitation dynamics. Advances in Mechanics, 2024, 54(1): 86-137 (in Chinese) doi: 10.6052/1000-0992-23-045
    [6]
    文潇. 极地螺旋桨空化引起的系柱推力下降问题研究. 船舶, 2023, 34(6): 120-128 (Wen Xiao. On thrust reduction caused by cavitation of ice-class propeller under bollard condition. Ship Boats, 2023, 34(6): 120-128 (in Chinese)

    Wen Xiao. On thrust reduction caused by cavitation of ice-class propeller under bollard condition. Ship Boats, 2023, 34(6): 120-128 (in Chinese)
    [7]
    梁浩哲, 张玉磊, 苏健军等. 近壁面深水爆炸气泡射流演化特性的研究. 爆破器材, 2024, 53(1): 9-15, 22 (Liang Haozhe, Zhang Yulei, Su Jianjun, et al. Evolution characteristics of bubble jets during deep-underwater explosive near the rigid wall. Explosive Materials. 2024, 53(1): 9-15, 22 (in Chinese)

    Liang Haozhe, Zhang Yulei, Su Jianjun, et al. Evolution characteristics of bubble jets during deep-underwater explosive near the rigid wall. Explosive Materials. 2024, 53(1): 9-15, 22 (in Chinese)
    [8]
    高小彤. 舰船航行状态下遭受水下爆炸载荷毁伤特性研究. [硕士论文]. 哈尔滨: 哈尔滨工程大学, 2023 (Gao Xiaotong. Research on damage characteristics of ships in navigational state subjected to underwater explosion. [Master Thesis]. Harbin: Harbin Engineering University, 2023 (in Chinese)

    Gao Xiaotong. Research on damage characteristics of ships in navigational state subjected to underwater explosion. [Master Thesis]. Harbin: Harbin Engineering University, 2023 (in Chinese)
    [9]
    张阿漫, 明付仁, 刘云龙等. 水下爆炸载荷特性及其作用下的舰船毁伤与防护研究综述. 中国舰船研究, 2023, 18(3): 139-154 (Zhang Aman, Ming Furen, Liu Yunlong, et al. Review of research on underwater explosion related to load characteristics and ship damage and protection. Chinese Journal of Ship Research, 2023, 18(3): 139-154 (in Chinese)

    Zhang Aman, Ming Furen, Liu Yunlong, et al. Review of research on underwater explosion related to load characteristics and ship damage and protection. Chinese Journal of Ship Research, 2023, 18(3): 139-154 (in Chinese)
    [10]
    Zhang AM, Li SM, Cui P, et al. A unified theory for bubble dynamics. Physics of Fluids, 2023, 35(3): 033323 doi: 10.1063/5.0145415
    [11]
    徐云飞, 边雅龙, 张玉锋等. 钬激光诱导空化气泡及组织消融的实验研究. 实验力学, 2023, 38(3): 371-377 (Xu Yunfei, Bian Yalong, Zhang Yufeng, Experimental study on holmium laser-induced cavitation bubble and tissue ablation. Journal of Experimental Mechanics, 2023, 38(3): 371-377 (in Chinese)

    Xu Yunfei, Bian Yalong, Zhang Yufeng, Experimental study on holmium laser-induced cavitation bubble and tissue ablation. Journal of Experimental Mechanics, 2023, 38(3): 371-377 (in Chinese)
    [12]
    Cole RH. Underwater Explosions. Princeton: Princeton University Press, 1948: 247
    [13]
    Menon S, Lal M. On the dynamics and instability of bubbles formed during underwater explosions. Experimental Thermal and Fluid Science, 1998, 16(4): 305-321
    [14]
    王立锋, 叶文华, 陈竹等. 激光聚变内爆流体不稳定性基础问题研究进展. 强激光与粒子束, 2021, 33(1): 5-64 (Wang Lifeng, Ye Wenhua, Chen Zhu, et al. Review of hydrodynamic instabilities in inertial confinement fusion implosions. High Power Laser and Particle Beams, 2021, 33(1): 5-64 (in Chinese)

    Wang Lifeng, Ye Wenhua, Chen Zhu, et al. Review of hydrodynamic instabilities in inertial confinement fusion implosions. High Power Laser and Particle Beams, 2021, 33(1): 5-64 (in Chinese)
    [15]
    赵志晔. 可压缩柱几何瑞利-泰勒不稳定性及湍流混合研究. [博士论文]. 合肥: 中国科学技术大学, 2023 (Zhao Zhihua. Investigations of compressible cylindrical Rayleigh-Taylor instability and turbulent mixing. [PhD Thesis]. Hefei: University of Science and Technology of China, 2023 (in Chinese)

    Zhao Zhihua. Investigations of compressible cylindrical Rayleigh-Taylor instability and turbulent mixing. [PhD Thesis]. Hefei: University of Science and Technology of China, 2023 (in Chinese)
    [16]
    Rayleigh L. Investigation of the character of the equilibrium of an Incompressible heavy fluid of variable density. Proc London Math Soc, 1883, 14: 170-177
    [17]
    Taylor GI. The stability of liquid surface when accelerated in a direction perpendicular to their planes I. Proc Royal Society Soc London, 1950, A201: 192-196
    [18]
    Chandrasekhar S. Hydrodynamic and Hydromagnetic Stability. London: Oxford University Press, 1961
    [19]
    Birkhoff G. A note on Taylor instability. Quart Appl Math, 1954, 12: 306
    [20]
    Keller J, Miksis M. Bubble oscillations of large amplitude. Journal of the Acoustical Society of America, 1980, 68: 628-633 doi: 10.1121/1.384720
    [21]
    Herring C. Theory of the pulsations of the gas bubble produced by an underwater explosion. Division of National Defense Research, Columbia University. 1941
    [22]
    Prosperetti A, Lezzi A. Bubble dynamics in a compressible liquid. Part 1. First-order theory. Journal of Fluid Mechanics, 1986, 168: 457-478
    [23]
    Lezzi A, Prosperetti A. Bubble dynamics in a compressible liquid. Part 2. Second-order theory. Journal of Fluid Mechanics, 1987, 185: 289-321
    [24]
    王成, 杨长鑫, 贾曦雨等. 含铝炸药深水爆炸能量输出特性高精度数值模拟研究. 北京理工大学学报, 2024, 44(8): 872-878 (Wang Chen, Yang Changxin, Jia Xiyu, et al. High-resolution numerical simulation study of the energy output characteristics of aluminized explosives in deep-water explosion. Transactions of Beijing Institute of Technology, 2024, 44(8): 872-878 (in Chinese)

    Wang Chen, Yang Changxin, Jia Xiyu, et al. High-resolution numerical simulation study of the energy output characteristics of aluminized explosives in deep-water explosion. Transactions of Beijing Institute of Technology, 2024, 44(8): 872-878 (in Chinese)
    [25]
    曹晓明, 余胜, 何红萱等. 水下爆炸载荷特性数值计算方法. 舰船科学技术, 2023, 45(24): 7-13 (Cao Xiaoming, Yu Sheng, He Hongxuan, et al. Numerical calculation method of underwater blast load characteristics. Ship Science and Technology, 2023, 45(24): 7-13 (in Chinese)

    Cao Xiaoming, Yu Sheng, He Hongxuan, et al. Numerical calculation method of underwater blast load characteristics. Ship Science and Technology, 2023, 45(24): 7-13 (in Chinese)
    [26]
    吴望一. 流体力学. 北京: 北京大学出版社, 2021 (Wu Wangyi. Fluid Mechanics. Beijing: Peking University Press, 2021 (in Chinese)

    Wu Wangyi. Fluid Mechanics. Beijing: Peking University Press, 2021 (in Chinese)
    [27]
    Arnold VI, Khesin BA. Topological Methods in Hydrodynamics. New York: Springer-Verlag New York Inc, 1999
    [28]
    Courant R, Hilbert D. Methods of Mathematical Physics, Vol. 1. New York Wiley-Interscience, 1989
    [29]
    Plesset M. The dynamics of cavitation bubbles. Journal of Applied Mechanics, 1949, 16: 277-282 doi: 10.1115/1.4009975
    [30]
    Rayleigh L. On the pressure developed in a liquid during the collapse of a spherical cavity. Philosophical Magazine, 1917, 34: 94-98
    [31]
    Drazin PG, Reid WH. Hydrodynamic Stability. Cambridge: Cambridge University Press, 2004
    [32]
    王继海. 二维非定常流和激波. 北京: 科学出版社, 1994 (Wang Jihai. Two-dimensional Unsteady Flow and Shock Wave. Beijing: Science Press, 1994 (in Chinese)

    Wang Jihai. Two-dimensional Unsteady Flow and Shock Wave. Beijing: Science Press, 1994 (in Chinese)
    [33]
    Mikaelian KO. Rayleigh-Taylor instabilities in stratified fluids. Physical Review A, 1982, 26(4): 2140
    • Related Articles

  • Related Articles

    [1]Huang Jianlin, Song Guangyi, Wang Jingzhu, Wang Yiwei. INFLUENCE OF LIQUID VISCOSITY ON THE INTERFACIAL INSTABILITY OF CYLINDRICAL DROPLET INDUCED BY A CAVITATION BUBBLE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(2): 377-386. DOI: 10.6052/0459-1879-24-020
    [2]Wang Tian, Sun Dong, Guo Qilong, Li Chen, Yuan Xianxu, Li Bo. INLET SYNTHETIC TURBULENCE GENERATION METHOD FOR COMPRESSIBLE BOUNDARY LAYER[J]. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(1): 45-57. DOI: 10.6052/0459-1879-23-216
    [3]Qiu Rundi, Wang Jingzhu, Huang Renfang, Du Tezhuan, Wang Yiwei, Huang Chenguang. THE APPLICATION OF MODIFIED PHYSICS-INFORMED NEURAL NETWORKS IN RAYLEIGH-TAYLOR INSTABILITY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(8): 2224-2234. DOI: 10.6052/0459-1879-22-253
    [4]Lü Ming, Ning Zhi, Yan Kai. THERMAL STABILITY OF SUPERCAVITATING JET IN A COMPRESSIBLE ROTARY GAS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(3): 561-569. DOI: 10.6052/0459-1879-17-403
    [5]Lü Ming, Ning Zhi, Yan Kai, Fu Juan, Song Yunchao, Sun Chunhua. STUDY ON THE STABILITY OF LIQUID JET IN COAXIAL SWIRLING COMPRESSIBLE FLOW UNDER SUPERCAVITATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(3): 323-330. DOI: 10.6052/0459-1879-12-223
    [6]Chen Jianbin Li Jie. Stochastic harmonic function and spectral representations[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(3): 505-513. DOI: 10.6052/0459-1879-2011-3-lxxb2010-375
    [7]Zhiyong Ai, Chao Wu. Plane strain consolidation of a multi-layered soil with anisotrpic permeability and compressible constituents[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(5): 801-807. DOI: 10.6052/0459-1879-2009-5-2008-477
    [8]Rayleigh-Taylor Instability of A Liquid Drop at High Bond Numbers[J]. Chinese Journal of Theoretical and Applied Mechanics, 2006, 38(3): 289-295. DOI: 10.6052/0459-1879-2006-3-2004-079
    [9]Rayleigh-taylor and kelvin-helmholtz instability of compressible fluid[J]. Chinese Journal of Theoretical and Applied Mechanics, 2004, 36(6): 655-663. DOI: 10.6052/0459-1879-2004-6-2003-501
    [10]ON THE DISPUTE WITH REGARD TO VISCOUS LINEAR STABILITY OF COMPRESSIBLE BOUNDARY LAYER FLOW OVER FLAT PLATE[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(1): 24-29. DOI: 10.6052/0459-1879-1997-1-1995-192

Catalog

    Get Citation
    PDF
    XML

    Article Metrics

    Article views (154) PDF downloads (35) Cited by()
    Related

    Download Center

    Author Center

    Copyright © Editorial Office of the Chinese Journal of Mechanics   京ICP备05039218号-1

    Address：15 Beishihuan Xi Lu, Haidian District, Beijing, China   China Pos：100190

    Tel：010-62536271

    Email：lxxb@cstam.org.cn

    微信公众号
    RSS

    Supported by: Beijing Renhe Information Technology Co., Ltd.  Baidu Analytics

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return