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Shock-induced collapse of single cavities in liquids

  • N. K. Bourne (a1) and J. E. Field (a1)

A two-dimensional method was used to observe the interactions of plane shock waves with single cavities. This allowed study of processes occurring within the cavity during collapse. Results were obtained from high-speed framing photography. A variety of collapse shock pressures were launched into thin liquid sheets either by firing a rectangular projectile or by using an explosive plane-wave generator. The range of these shock pressures was from 0.3 to 3.5 GPa. Cavities were found to collapse asymmetrically to produce a high-speed liquid jet which was of approximately constant velocity at low shock pressures. At high pressures, the jet was found to accelerate and crossed the cavity faster than the collapse-shock traversed the same distance in the liquid. In the final moments of collapse, high temperatures were concentrated in two lobes of trapped gas and light emission was observed from these regions. Other cavity shapes were studied and in the case of cavities with flat rear walls, multiple jets were observed to form during the collapse.

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Benjamin, T. B. & Ellis A. T. 1966 The collapse of cavitation bubbles and the pressures thereby produced against solid boundaries Phil. Trans. R. Soc. Lond. A 260, 221240.
Besant W. H. 1859 Hydrostatics and Hydrodynamics. Cambridge University Press.
Birkhoff G., MacDougall D. P., Pugh, E. M. & Taylor G. I. 1948 Explosives with lined cavities. J. Appl. Phys. 19, 563582.
Blake, J. R. & Gibson D. C. 1987 Cavitation bubbles near boundaries. Ann. Rev. Fluid Mech. 19, 99123.
Bourne N. K. 1989 Shock interactions with cavities. Ph.D. thesis. University of Cambridge.
Bourne, N. K. & Field J. E. 1989 Cavity collapse in a heterogeneous commercial explosive. Proc. Ninth Symp. (Intl) on Detonation, Portland, Oregon, pp. 869878. Office of Naval Research, Washington.
Bourne, N. K. & Field J. E. 1991 Bubble collapse and the initiation of explosion Proc. R. Soc. Lond. A 435, 423435.
Bowden, F. P. & Yoffe A. D. 1952 Initiation and Growth of Explosion in Liquids and Solids. Cambridge University Press.
Brunton J. H. 1967 Erosion by liquid shock. In Intl Conf. on Rain Erosion (ed. A. A. Fyall & R. B. King), pp. 821823. RAE, UK.
Brunton, J. H. & Camus J.-J. 1970 The application of high-speed photography to analysis of flow in cavitation and drop-impact studies. Proc. Intl Conf. on High Speed Photography (ed. W. G. Hyzer & W. G. Chase), pp. 444449. Soc. Motion Picture & Television Engrs, New York.
Camus J.-J. 1971 High-speed flow in impact and its effect on solid surfaces. Ph.D. thesis, University of Cambridge.
Chaudhri M. M., Almgren, L.-A. & Persson A. 1982 High-speed photography of the interaction of shocks with voids in condensed media. 15th Intl Congr. on High-Speed Photography and Photonics, San Diego, pp. 388394. Soc. Photo Optical Instrumentation Engrs.
Chaudhri, M. M. & Field J. E. 1974 The role of rapidly compressed gas pockets in the initiation of condensed explosives Proc. R. Soc. Lond. A 340, 113128.
Coley, G. D. & Field J. E. 1973 The role of cavities in the initiation and growth of explosion in liquids Proc. R. Soc. Lond. A 335, 6786.
Cook S. S. 1928 Erosion by water hammer Proc. R. Soc. Lond. A 260, 221240.
Dear J. P. 1985 The fluid mechanics of high-speed impact. Ph.D. thesis, University of Cambridge.
Dear, J. P. & Field J. E. 1988a A study of the collapse of arrays of cavities. J. Fluid Mech. 190, 409425.
Dear, J. P. & Field J. E. 1988b High-speed photography of surface geometry effects in liquid/solid impact. J. Appl. Phys. 63, 10151021.
Dear J. P., Field, J. E. & Walton A. J. 1988 Gas compression and jet formation in cavities collapsed by a shock wave. Nature 332, 505508.
Field J. E., Lesser, M. B. & Dear J. P. 1985 Studies of two-dimensional liquid wedge impact and their relevance to liquid-drop impact problems Proc. R. Soc. Lond. A 401, 225249.
Frey R. B. 1985 Cavity collapse in energetic materials. Eighth Symp. (Intl) on Detonation, Albuquerque, New Mexico, July, pp. 6880. Office of Naval Research, Washington.
Gilmore F. R. 1952 The growth and collapse of a spherical bubble in a viscous compressible liquid. Calif. Inst. of Tech. Hydrodyn. Lab. Rep. 264.
Grant, M. McD. & Lush P. A. 1987 Liquid impact on a bilinear elastic-plastic solid and its role in cavitation erosion. J. Fluid Mech. 176, 237252.
Haas, J.-F. & Sturtevant B. 1987 Interaction of weak shock waves with cylindrical and spherical inhomogeneities. J. Fluid Mech. 181, 4176.
Hutchings I. M., Rochester, M. C. & Camus J.-J. 1977 A rectangular bore gas gun. J. Phys E: Sci. Instrum. 10, 455457
Johnson J. N. 1987 Hot spot reaction under transient pressure conditions Proc. R. Soc. Lond. A 413, 329350.
Kornfeld, M. & Suvorov L. 1944 On the destructive action of cavitation. J. Appl. Phys. 15, 495506.
Lauterborn, W. & Bolle H. 1975 Experimental investigations of cavitation-bubble collapse in the neighbourhood of a solid boundary. J. Fluid Mech. 72, 391399.
Leiper G. A., Kirby, I. J. & Hackett A. 1985 Determination of reaction rates in intermolecular explosives using the electromagnetic particle velocity gauge. Eighth Symp. (Intl) on Detonation, Albuquerque, New Mexico, July, pp. 187195. Office of Naval Research, Washington.
Leiper, G. A. & Steele A. F. 1984 Design and calibration of a PMMA gap test. ICI Rep. NR321A.
Mader C. L. 1964 The two-dimensional hydrodynamic hot-spot. Los Alamos Natl Lab. Rep. LA-3077, June.
Mader, C. L. & Kershner J. D. 1985 The three dimensional hydrodynamic hot-spot model. Eighth Symp. (Intl) on Detonation, Albuquerque, New Mexico, July, pp. 4251. Office of Navai Research, Washington.
Marsh S. P. 1980 LASL Shock Hugoniot Data. University of California Press.
Mitchell, A. C. & Nellis W. J. 1982 Equation of state and electrical conductivity of water and ammonia shocked to the 100 GPa (1 Mbar) pressure range. J. Chem. Phys. 76, 62736281.
Parsons, C. A. & Cook S. S. 1919 Investigations into the causes of corrosion or erosion of propellors. Trans. Inst. Nav. Archit. 61, 223277.
Plesset, M. S. & Chapman R. B. 1971 Collapse of an initially spherical vapour cavity in the neighbourhood of a solid boundary. J. Fluid Mech. 47, 283290.
Rayleigh Lord 1917 On the pressure developed during the collapse of a spherical cavity. Phil. Mag. 34, 9498.
Starkenberg J. 1981 Ignition of solid high explosive by the rapid compression of an adjacent gas layer. Seventh Symp. (Intl) on Detonation, Anapolis, Washington, pp. 316. Office of Naval Research, Washington.
Taylor P. A. 1985 The effects of material microstructure on the shock-sensitivity of porous granular explosives. Eighth Symp. (Intl) on Detonation, Albuquerque, New Mexico, July, pp. 2633. Office of Naval Research, Washington.
Tomita, Y. & Shima A. 1986 Mechanisms of impulsive pressure generation and damage pit formation by bubble collapse. J. Fluid Mech. 169, 535564.
Tomita Y., Shima, A. & Ohno T. 1984 Collapse of multiple gas bubbles by a shock wave and induced impulsive pressures. J. Appl. Phys. 56, 125131.
Vogel A., Lauterborn, W. & Timm R. 1989 Optical and acoustic investigations of the dynamics of laser-produced cavitation bubbles near a solid boundary. J. Fluid Mech. 206, 299338.
Walsh, J. M. & Rice M. H. 1957 Dynamic compression of liquids from measurements of strong shock waves. J. Chem. Phys. 26, 815830.
Walters, J. K. & Davidson J. F. 1962 The initial motion of a gas bubble formed in an inviscid liquid. Part 1. The two-dimensional bubble. J. Fluid Mech. 12, 408416.
Walters, J. K. & Davidson J. F. 1963 The initial motion of a gas bubble formed in an inviscid liquid. Part 2. The three-dimensional bubble and the toroidal bubble. J. Fluid Mech. 17, 321336.
Young F. R. 1989 Cavitation. McGraw-Hill.
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