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CLOUD CAVITATION DYNAMICS

Part of: Two-phase and multiphase flows

Published online by Cambridge University Press:  01 October 2008

MILES WILSON ,
JOHN R. BLAKE  and
PETER M. HAESE
MILES WILSON
Affiliation:
School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK (email: j.r.blake@bham.ac.uk)
JOHN R. BLAKE*
Affiliation:
School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK (email: j.r.blake@bham.ac.uk)
PETER M. HAESE
Affiliation:
School of Mathematics, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK (email: j.r.blake@bham.ac.uk)
*
✉For correspondence; e-mail: j.r.blake@bham.ac.uk
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Abstract

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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.

Keywords

bubblesmultipolescloudsclusterscavitation

MSC classification

Secondary: 76T10: Liquid-gas two-phase flows, bubbly flows
Type
Research Article
Information
The ANZIAM Journal , Volume 50 , Issue 2 , October 2008 , pp. 199 - 208
Copyright
Copyright © Australian Mathematical Society 2009

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