Volume 59, Number 3, August 2002
|Page(s)||370 - 376|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 September 2002|
Bubbles creeping in a viscous liquid along a slightly inclined plane
Laboratoire de Physique de la Matière
Condensée, URA 792 du CNRS Collège de France -
75231 Paris Cedex 05, France
Accepted: 13 May 2002
We describe the upwards movement of an air bubble creeping along a slightly inclined plane immersed in a viscous liquid which totally wets the solid. After characterizing the shape of the static bubble under a horizontal plane, we tilt the plane and study the resulting motion. The bubble reaches a steady velocity, which is described as a function of the bubble size, the liquid viscosity and the tilting angle. We interpret our results by considering the viscous dissipation in the so-called dynamic meniscus, which is the zone where a lubricating film forms.
PACS: 47.15.Gf – Low-Reynolds-number (creeping) flows / 68.15.+e – Liquid thin films / 83.50.Lh – Slip boundary effects (interfacial and free surface flows)
© EDP Sciences, 2002
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