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A singular-perturbation theory of the growth of a bubble cluster in a superheated liquid

Published online by Cambridge University Press:  20 April 2006

Georges L. Chahine  and
Han Lieh Liu
Georges L. Chahine
Affiliation:
Tractor Hydronauties Inc., 7210 Pindell School Road, Lurel, Maryland
Han Lieh Liu
Affiliation:
Tractor Hydronauties Inc., 7210 Pindell School Road, Lurel, Maryland
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Abstract

The presence and behaviour of vaporous cavities are of major importance in many modern industrial applications where heat transfer, boiling or cavitation are involved. Following a sudden depressurization of a superheated fluid, the bubble growth rate controls the generated transients and heat transfer. Most existing computer modelling and prediction codes are based on individual spherical-bubble-growth studies and neglect possible interactions and collective phenomena. This paper addresses this collective behaviour using a singular-perturbation approach. The method of matched asymptotic expansions is used to describe the bubble growth, taking into account its interaction with a finite number of surrounding bubbles. A computer program is developed and the influence of the various parameters is studied numerically for the particular case of a symmetrical equal-size-bubble configuration and a thermal-boundary-layer approximation. A significant influence of these interactions on bubble growth and heat transfer is observed: compared to an isolated-bubble case, the growth rate of a bubble is reduced in the presence of other bubbles, and the temperature drop at its wall is smaller. As a result the heat loss due to bubble growth is smaller. These effects increase with the number of interacting bubbles.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 156 , July 1985 , pp. 257 - 279
Copyright
© 1985 Cambridge University Press

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