WANG Tianzhao, SUN Yuanxiang, WANG Cheng, et al. Theoretical Study on Pulsation Characteristics of Bubble near a Rigid Wall[J]. Acta Armamentarii, 2026, 47(2): 250098.
DOI:
WANG Tianzhao, SUN Yuanxiang, WANG Cheng, et al. Theoretical Study on Pulsation Characteristics of Bubble near a Rigid Wall[J]. Acta Armamentarii, 2026, 47(2): 250098. DOI: 10.12382/bgxb.2025.0098.
Theoretical Study on Pulsation Characteristics of Bubble near a Rigid Wall
The influence mechanism of a rigid wall on the pulsation characteristics of underwater explosion bubbles is investigated. A dynamic equation for the pulsation of bubbles near a wall is established based on the principle of energy conservation and the sink-source image method
and an analytical formula for the dimensionless pulsation periodof bubbles is proposed. The boundary effect law of the secondary pressure wave peak is revealed. Theoretical studies show that the pulsation period of bubbles near the wall increases with the decrease of the distance parameter
and the peak value of the secondary pressure wave on the wall can reach 1~2 times that of the free field at the same position. The accuracy of the theoretical model is verified through deep-water explosion experiment(200~500 m water depth)and LS-DYNA numerical simulation. Furthermore
an improved criterion for judging the bubble jet direction is proposed based on the equation of bubble pulsation near the wall
which can accurately predict the bubble jet direction under the failure condition of Blake criterion. This research provides theoretical support for the in-depth study of the interaction among underwater explosion bubbles and structures.
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references
PLESSET M S. The dynamics of cavitation bubbles[J]. Journal of Applied Mechanics,1949,16:277-282.
PROSPERETTI A, LEZZI A. Bubble dynamics in a compressible liquid. Part 1. First-order theory[J]. Journal of Fluid Mechanics, 1986: 457-478.
LEZZI A, PROSPERETTI A. Bubble dynamics in a compressible liquid. Part 2. Second-order theory[J]. Journal of Fluid Mechanics, 1987, 185: 289-321.
GEERS T L. Transient response analysis of complex submerged structures[J]. The Journal of the Acoustical Society of America, 1974, 55(S1): 26.
COLE R H. Underwater explosions[M]. Princeton, NJ, US:Princeton University Press, 1948.
VERNON T A. Whipping response of ship hulls from underwater explosion bubble loading[R]. Washington D. C. US: Naval Research Laboratory, 1986.
ZHANG A M, LI S M, CUI P, et al. A unified theory for bubble dynamics[J]. Physics of Fluids, 2023, 35(3): 033323.
ZHANGA M, LI S M, XU R Z, et al. A theoretical model for compressible bubble dynamics considering phase transition and migration[J]. Journal of Fluid Mechanics, 2024, 999: A58.
BLAKE J R, LEPPINEN D M, WANG Q. Cavitation and bubble dynamics: the Kelvin impulse and its applications[J]. Interface Focus, 2015, 5(5): 20150017.
CHEN Y W, SUN Y X, WANG C. Damage characteristics of ship's double bottom structure subjected to underwater explosion[J]. Acta Armamentarii, 2023, 44 (3): 670-681. (in Chinese)
WANG C, CHEN Y W, SUN Y X, et al. Experimental research of bubble pulsation and jet under a double plate with circular hole[J]. Ocean Engineering, 2024, 306: 118-127.
WANG P R, SHI D Y, CUI X W. Study on bubble pulsation process of underwater explosion between parallel plates with various distances[J]. Ocean Engineering, 2023, 278: 114512.
LUO X, HUNG X, ZHONG Z X, et al. Research on the load characteristics of deep water explosions near curved boundaries[J]. Physics of Fluids, 2024, 36(7): 077165.
LI S M, LIU X B, TANG H. Multi-cycle dynamics of underwater explosion bubbles: An experimental investigation[J]. Physics of Fluids, 2024, 36(9): 093309.
YU S, WANG S P, YAN S. Fluid-structure interactions between a near-field underwater explosion bubble and a suspended plate[J]. AIP Advances, 2022, 12(9): 095224.
HAN W, DANG Y F, LI R N. Damage mechanisms of underwater explosive bubble on water-filled bilayer spherical shells during navigation[J]. Ocean Engineering, 2024, 306:118113.
ZHOU Z T, LIU J H, WANG H K, et al. Experimental and numerical investigation on cavitation collapse reloading and bubble evolution for close-in and contact underwater explosion[J]. Ocean Engineering, 2024, Vol. 293: 116549.
LIU L T, GAN N, WANG J X. Study on bubble collapse near a solid wall under different hypergravity environments[J]. Ocean Engineering, 2021, 221: 108563.
ZHOU Z T, LIU J H, PEI H B, et al. Fluid-structure interaction mechanism and loading effect in close-in and contact underwater explosions[J]. Acta Armamentarii, 2017, 38(S1): 136-145. (in Chinese)
WANG S S, LIANG C, GAO Y, et al. Engineering model for calculating secondary pressure wave overpressure peak in deep water explosion[J]. Acta Armamentarii, 2022, 43(10): 2508-2516. (in Chinese)
WANG Q, FENG L H, LIU N N, et al. Experimental study of load characteristics caused by underwater explosion bubble collapsing in the neighborhood of a rigid wall[J]. Ocean Engineering, 2023, 287(2): 115903.
BLAKE J R, CERONE P. A note on the impulse due to a vapour bubble near a boundary[J]. The ANZIAM Journal, 1982, 23(4): 383-393.
BEST J P, BLAKE J R. An estimate of the Kelvin impulse of a transient cavity[J]. Journal of Fluid Mechanics, 1994, 261:75-93.
VOGEL A, LAUTERBORN W. Acoustic transient generation by laser-produced cavitation bubbles near solid boundaries[J]. The Journal of the Acoustical Society of America, 1988, 84 (2):719-731.
BRUJAN E A, NAHEN K, SCHMIDT P. Dynamics of laser-induced cavitation bubbles near an elastic boundary: influence of the elastic modulus[J]. Journal of Fluid Mechanics, 2001, 433:283-314.
ZHANG A M, CUI P, CUI J. Experimental study on bubble dynamics subject to buoyancy[J]. Journal of Fluid Mechanics, 2015, 776: 137-160
BEST J P, KUCERA A. A numerical investigation of non-spherical rebounding bubbles[J]. Journal of Fluid Mechanics, 1992, 245, 137-154.