Perfect Plastic Deformation of a Circular Thin Bronze Plate due to the Growth and Collapse of a Vapour Bubble

Dynamics of a vapour bubble generated due to a high local energy input near a circular thin bronze plate in the absence of the buoyancy forces is numerically investigated in this paper. The bubble is generated near a thin bronze plate and during the growth and collapse of the bubble, it deforms the nearby plate. The Boundary Integral Equation Method is employed for numerical simulation of the problem. The fluid is assumed to be incompressible, irrotational and inviscid and the surface tension on the bubble boundary is neglected. Therefore the fluid flow around the vapour bubble can be assumed as a potential flow. Furthermore, the thin bronze plate is assumed to have perfectly plastic behaviour. Results show that the displacement of the circular thin bronze plate has considerable effect on the dynamics of its nearby vapour bubble. It is found that by decreasing the thickness of the thin bronze plate, the growth and collapse rate of the bubble becomes higher and consequently the lifetime of the bubble becomes shorter.

• M.T. Shervani-Tabar
• M. Rezaee
• E. Madadi Kandjani

• Vapour Bubble
• Thin Bronze Plate
• Boundary Integral Equation Method.

[1] E. Klaseboer, C. K. Turangan and B. C. Khoo, Dynamic behaviour
of a bubble near an elastic infinite interface,International Journal of
Multiphase Flow, 2006, vol. 32, pp. 1110-1122.
[2] J. R. Blake, B. B. Taib and G. Doherty, Transient cavities near boundaries
Part 2. Free surface,Journal of Fluid Mechanics, 1987, vol. 181, pp. 197-
212.
[3] J. R. Blake, The Kelvin impulse: application to cavitation bubble dynamics.,
The ANZIAM Journal, 1988, vol. 30, pp. 127-146.
[4] J. R. Blake and P. Cerone, A note on the impulse due to a vapour bubble
near a boundary.,The ANZIAM Journal, 1982, vol. 23, pp. 383-393.
[5] J. R. Blake and D. C. Gibson, Growth and collapse of a vapour cavity
near a free surface.,Journal of Fluid Mechanics, 1981, vol. 111, pp. 123-
140.
[6] P. Cerone and J. R. Blake, A note on the instantaneous streamlines, pathlines
and pressure contours for a cavitation bubble near a boundary.,The
ANZIAM Journal, 1984, vol. 26, pp. 31-44.
[7] G. L. Chahine, Interaction Between an Oscillating Bubble and a Free
Surface.,Journal of Fluids Engineering, 1977, vol. 99, pp. 709-716.
[8] D. C. Gibson and J. R. Blake, Growth and Collapse of Cavitation Bubbles
Near Flexible Boundaries.,Australasian Conference on Hydraulics and
Fluid Mechanics, 1980, pp. 283-286.
[9] J. P. Best, The dynamics of underwater explosions.,PhD thesis, University
of Wollongong, 1991.