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The unsteady motion of a drop moving vertically under gravity

Published online by Cambridge University Press:  21 April 2006

R. F. Chisnell
R. F. Chisnell
Affiliation:
Department of Mathematics, University of Manchester, Manchester M13 9PL, UK
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Abstract

The unsteady flow field pertaining to a drop moving vertically under gravity is obtained from the Stokes equations applicable to low-Reynolds-number flow. A proof is given that there is no variation in the normal stress over the drop surface. In consequence unsteadily moving drops remain spherical, subject only to the criterion of low Reynolds number. Numerical results are presented for a water drop moving through air. A small-time analysis of the motion provides a comparison between the motion of any drop, or bubble, with that of the presented water-drop solution.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 176 , March 1987 , pp. 443 - 464
Copyright
© 1987 Cambridge University Press

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References

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