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On the bubble shape in a magnetically compensated gravity environment

Published online by Cambridge University Press:  29 January 2013

Jérôme Duplat  and
Alain Mailfert
Jérôme Duplat*
Affiliation:
SBT, UMR-E 9004 CEA / UJF-Grenoble 1, INAC, Grenoble, F-38054, France
Alain Mailfert
Affiliation:
Labo Géoressources, Lorraine University – CNRS, ENSG Vandoeuvre-lès-Nancy, F-54500, France
*
†Email address for correspondence: [email protected]
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Abstract

We investigate the shape of bubbles in liquid oxygen under magnetic levitation conditions: a magnetic field is applied that polarizes bulk oxygen, and its spatial variation induces a body force opposed to its weight. In these conditions, bubbles appear to have a smooth ellipsoidal shape, which may be prolate (elongated in the vertical direction), oblate (elongated in the horizontal plane) or perfectly spherical. The dependence of the elongation ratio $\eta $ on the volume and levitation position is explored. It is found that the bubble shape is prescribed by the minimization of the sum of surface tension, demagnetization and magnetic–gravitational potential energies.

JFM classification

Drops and Bubbles: Drops and Bubbles Drops and Bubbles: Electrohydrodynamic effects MHD and Electrohydrodynamics: Magnetic fluids
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 716 , 10 February 2013 , R11
Copyright
©2013 Cambridge University Press

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