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The instability of an annular thread of fluid

Published online by Cambridge University Press:  28 March 2006

Simon L. Goren
Simon L. Goren
Affiliation:
Department of Chemical Engineering, the Johns Hopkins University, Baltimore
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Abstract

The instability of an annular coating of liquid on a wire or on the inside of a small tube subject to capillary forces at its free surface is discussed. It was found that for given values of s/a, the ratio of the two radii of the annulus, and S ≡ρTa/μ2, the reciprocal of the square of the Ohnesorge number, there is a disturbance of a certain wavelength (2πa/λ)*, which grows more rapidly than disturbances of any other wavelength. One would therefore expect the liquid to break up into a regular pattern of drops with spacing given by this wavelength. The dependence of (2πa/λ)* on s/a and S has been calculated and is presented graphically. Experimental observations on drop formation on wires and in tubes which agree with the calculations are given.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 12 , Issue 2 , February 1962 , pp. 309 - 319
Copyright
© 1962 Cambridge University Press

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