Cloud cavitation dynamics

John R Blake, Miles Wilson, Peter M Haese

Abstract


An analysis is developed for the behaviour of a cloud of cavitation bubbles during both the growth and collapse phases. The theory is based on a multipole method exploiting a modified variational principle developed by Miles for water waves. Calculations record that bubbles grow approximately spherically, but a staggered collapse ensues with the outermost bubbles in the cloud collapsing first of all, thence leading to a cascade of bubble collapses with very high pressures developed near the cloud centroid. A more complex phenomenon occurs for bubbles of variable radius with local zones of collapse, with a complex frequency spectrum associated with each individual bubble, leading to both local and global collective behaviour.

doi:10.1017/S1446181109000133

Keywords


bubbles, multipoles, clouds, clusters, cavitation.



DOI: http://dx.doi.org/10.21914/anziamj.v50i0.2347



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.