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Conserved quantities for axisymmetric cavities near boundaries

Published online by Cambridge University Press:  17 April 2009

R. Paull  and
J.R. Blake
R. Paull
Affiliation:
12 Marshall StreetKingston Qld 4114Australia
J.R. Blake
Affiliation:
Department of MathematicsThe University of WollongongWollongong NSW 2500Australia
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Abstract

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In axisymmetric irrotational flows of a perfect fluid under gravity there are three basic conserved quantities; axial momentum, energy and a circulation based, radial moment of momentum. This paper adapts these conservation principles to describe cavity collapse adjacent to a rigid boundary in a semi-infinite perfect fluid. They afford a global model accounting for volume change, migration and jet formation; physically the most significant features of bubble collapse close to a rigid boundary.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 41 , Issue 2 , April 1990 , pp. 215 - 222
Copyright
Copyright © Australian Mathematical Society 1990

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