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 ["Nonlinear surface waves in closed basins", J. Fluid Mech. 75 (1976) 418-448] for water waves. Calculations record that bubbles grow approximately spherically, but that a staggered collapse ensues, with the outermost bubbles in the cloud collapsing first of all, 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.
Original language | English |
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Pages (from-to) | 199-208 |
Number of pages | 10 |
Journal | The ANZIAM Journal |
Volume | 50 |
Issue number | 02 |
DOIs | |
Publication status | Published - 1 Oct 2008 |
Keywords
- clouds
- multipoles
- clusters
- bubbles
- cavitation