Abstract
Results from recent theoretical and experimental studies of the interaction of pulsating bubbles with nearby deformable surfaces are presented. The bubble impulse is defined and shown to be an important indicator of the nature of collapse. Experiments have revealed an entirely new form of collapse in the vicinity of finite impedance surfaces and useful parametric descriptions of surface inertia and stiffness have been found.
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References
Abramowitz M and Stegun IA (eds) (1965) Handbook of mathematical functions. New York: Dover.
Benjamin TB and Ellis AT (1966) The Collapse of cavitation bubbles and the pressures thereby produced against solid boundaries. Trans R Soc Ser A 260: 221–240.
Bevir MK and Fielding PJ (1975) Numerical solution of incompressible bubble collapse with jetting. In: Ockendon JR and Hodgkins WR (eds) Moving boundary problems in heat flow and diffusion. Oxford: Clarendon.
Blake JR and Gibson DC (1981) Growth and collapse of a vapour cavity near a free surface. J Fluid Mech 111: 123–140.
Blake JR and Cerone P (1981) A note on the impulse due to a vapour bubble near a boundary. J Aust Math Soc (in press).
Cole RH (1965) Underwater explosions. New York: Dover.
Gibson DC (1968) Cavitation adjacent to plane boundaries. Proc 3rd Aust Hydraulics and Fluid Mech Conference, Sydney, pp 210–214.
Gibson DC and Blake JR (1980) Growth and collapse of vapour bubbles near flexible boundaries. Proc 7th Aust Hydraulics and Fluid Mech Conference, Brisbane pp 283–286.
Hess JL and Smith AMO (1962) Calculation of potential flow about arbitrary bodies. In: Kuchemann D (ed) Progress in aeronautical sciences Vol 8. London: Pergamon.
Plesset MS and Chapman RB (1971) Collapse of an intially spherical vapour cavity in the neighbourhood of a solid boundary. J Fluid Mech 47 Pt 2: 283.
Rayleigh Lord (1917) On the pressure developed in a liquid during the collapse of a spherical void. Philos Mag 34: 94.
Small RD and Weihs D (1975) Axisymmetric potential flow over two spheres in contact. J Appl Mech 42: 763–765.
Weihs D and Small RD (1975) An exact solution of the motion of two adjacent spheres in axisymmetric potential flow. Israel J Technol 13: 1–6.
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© 1982 Martinus Nijhoff Publishers, The Hague
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Gibson, D.C., Blake, J.R. (1982). The growth and collapse of bubbles near deformable surfaces. In: van Wijngaarden, L. (eds) Mechanics and Physics of Bubbles in Liquids. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7532-3_19
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DOI: https://doi.org/10.1007/978-94-009-7532-3_19
Publisher Name: Springer, Dordrecht
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Online ISBN: 978-94-009-7532-3
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