Motion of Long Levitating Drops in Tubes in an Anti-Bretherton Configuration

Physical Review Letters
Peter FavreauMichaël Baudoin

Abstract

In his seminal paper, Bretherton studied the motion of long bubbles in capillary tubes. Here, we unveil the negative configuration wherein a long liquid drop is stably transported in a capillary tube and surrounded by a flow-induced air cushion. These drops are formed when a liquid plug is pushed above a critical velocity sufficient to induce an inversion of the front meniscus with a radius of curvature smaller than the tube radius. The drop shape and lubricating air film thickness is reminiscent of Bretherton's calculation and can be inferred from an adapted analytical theory.

References

Jul 9, 1998·Journal of Applied Physiology·D HalpernJ B Grotberg
Jan 7, 2000·Journal of Colloid and Interface Science·O E Jensen
Feb 10, 2007·Science·Manu Prakash, Neil Gershenfeld
Jun 24, 2009·Physics of Fluids·Hideki FujiokaJames B Grotberg
Jan 2, 2013·Proceedings of the National Academy of Sciences of the United States of America·Michael BaudoinCharles N Baroud

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