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Fluid flow up a spinning egg and the Coriolis force

J C Martinez1, E Polatdemir2, Ankita Bansal3, Wang Yifeng4 and Wang Shengtao4

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We study the dynamics of a spinning sphere whose south pole is in touch with the surface of a still body of liquid. When the sphere is turning fast enough, the fluid rises up the sphere, reaches the equator and is flung out as a fountain of droplets. Although the fountain forms for water a weakly viscous fluid, and for propylene glycol a much more viscous fluid, the dynamical situation is different for each. For flows at mid-latitudes on the sphere, we formulate the dynamical equations for the two liquids in terms of Newton's law in a rotating frame, noting that the Coriolis force plays an essential role in both liquids, and obtain qualitative agreement with observations. We also discuss the possible roles played by other forces.


PACS

47.32.Ef Rotating and swirling flows

47.10.Fg Dynamical systems methods

47.32.cb Vortex interactions

47.55.db Drop and bubble formation

Subjects

Fluid dynamics

Mathematical physics

Dates

Issue 4 (July 2006)

Received 20 February 2006

Published 8 May 2006



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