The physics of liquid impact, shock wave interactions with cavities, and the implications to shock wave lithotripsy.

This paper reviews research on the physics of liquid impact and the behaviour of cavities when a shock passes over them. It is shown that the problems are related since when a cavity collapses near a solid surface, or is collapsed by a shock wave, the collapse is asymmetric and a liquid jet is produced which can impact an adjacent solid. The implications of this research to shock wave lithotripsy are emphasized. Finally, the paper describes the development of a device, based on liquid jet impact, for fragmenting kidney stones.

[1]  M. B. Lesser,et al.  Analytic solution of liquid-drop impact problems , 1981, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[2]  F. P. Bowden,et al.  The brittle fracture of solids by liquid impact, by solid impact, and by shock , 1964, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[3]  V. K. Kedrinskii,et al.  On the dynamics of cavity clusters , 1982 .

[4]  Milton S. Plesset,et al.  Collapse of an initially spherical vapour cavity in the neighbourhood of a solid boundary , 1971, Journal of Fluid Mechanics.

[5]  J. E. Field,et al.  High Speed Photographic Studies Of Liquid/Solid Impact And Cavity Collapse Using Two-Dimensional Gelatine Configurations , 1985, Other Conferences.

[6]  P. A. Lush,et al.  Impact of a liquid mass on a perfectly plastic solid , 1983, Journal of Fluid Mechanics.

[7]  J. Field,et al.  The role of cavities in the initiation and growth of explosion in liquids , 1973, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[8]  A. Prosperetti,et al.  Bubble Dynamics and Cavitation , 1977 .

[9]  John E. Field,et al.  The Impact of Compressible Liquids , 1983 .

[10]  I. Hansson,et al.  The dynamics of cavity clusters in ultrasonic (vibratory) cavitation erosion , 1980 .

[11]  D. A. Gorham,et al.  Liquid jet impact and damage assessment for brittle solids , 1979 .

[12]  L. Rayleigh VIII. On the pressure developed in a liquid during the collapse of a spherical cavity , 1917 .

[13]  F. P. Bowden,et al.  Damage to Solids by Liquid Impact at Supersonic Speeds , 1958, Nature.

[14]  Stanley S. Cook Erosion by Water-Hammer , 1928 .

[15]  John E. Field,et al.  Studies of two-dimensional liquid-wedge impact and their relevance to liquid-drop impact problems , 1985, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[16]  T. J. Black,et al.  The mechanics of wave formation in explosive welding , 1967, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[17]  John E. Field,et al.  A study of the collapse of arrays of cavities , 1988, Journal of Fluid Mechanics.

[18]  Julian Szekely,et al.  Mathematical and physical modelling of doublediffusive convection of aqueous solutions crystallizing at a vertical wall , 1988, Journal of Fluid Mechanics.

[19]  Robert Hickling,et al.  Collapse and rebound of a spherical bubble in water , 1964 .

[20]  J. Brunton,et al.  Wave Formation between Impacting Liquids in Explosive Welding and Erosion , 1970, Nature.

[21]  F. Harlow,et al.  Formation and Penetration of High‐Speed Collapse Jets , 1966 .

[22]  John E. Field,et al.  High‐speed photography of surface geometry effects in liquid/solid impact , 1988 .

[23]  J. M. Walsh,et al.  Limiting Conditions for Jet Formation in High Velocity Collisions , 1953 .

[24]  M. Kornfeld,et al.  On the Destructive Action of Cavitation , 1944 .

[25]  W. Adler,et al.  Rain erosion behaviour of polymethylmethacrylate , 1978 .

[26]  F. Duck,et al.  Trends in diagnostic ultrasound exposure. , 1991, Physics in medicine and biology.

[27]  Garrett Birkhoff,et al.  Explosives with Lined Cavities , 1948 .

[28]  J. Field,et al.  Gas compression and jet formation in cavities collapsed by a shock wave , 1988, Nature.

[29]  D. A. Gorham,et al.  The failure of composite materials under high-velocity liquid impact , 1976 .