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Motion of a gas bubble inside a spherical liquid container with a vertical temperature gradient

Published online by Cambridge University Press:  21 April 2006

Lawrence S. Mok  and
Kyekyoon Kim
Lawrence S. Mok
Affiliation:
Fusion Technology Laboratory, University of Illinois, Urbana, IL 61801, USA Present address: IBM, Yorktown Heights, NY 10598, USA.
Kyekyoon Kim
Affiliation:
Fusion Technology Laboratory, University of Illinois, Urbana, IL 61801, USA
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Abstract

The steady-state motion of a gas bubble inside a non-isothermal, spherical, liquidfilled container is described by taking into account the effects of gravity, the thermally induced gradient of the gas-liquid interfacial tension, and the finite size of the liquid container. The flow fields inside and outside the bubble located at the centre of the container are calculated using a low-Reynolds-number approximation of the fluid equations. The temperature fields are determined by using a low-Prandtl-number approximation of the heat equations. A general expression is obtained for the steady-state migration velocity of the bubble which, under certain conditions, reduces to expressions previously derived by a number of investigators. Finally, an expression for the vertical temperature gradient that will maintain a stationary gas bubble at the centre of the container is formulated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 176 , March 1987 , pp. 521 - 531
Copyright
© 1987 Cambridge University Press

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