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The shape of low-speed capillary jets of Newtonian liquids

Published online by Cambridge University Press:  28 March 2006

Simon L. Goren  and
Stanislaw Wronski
Simon L. Goren
Affiliation:
Department of Chemical Engineering, University of California, Berkeley, California
Stanislaw Wronski
Affiliation:
Department of Chemical Engineering, University of California, Berkeley, California
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Abstract

The shape of a jet of Newtonian liquid issuing from a capillary needle into air is considered. The results of two theoretical approaches are presented. One approach is a perturbation analysis about the final state of the jet and the other is a boundary-layer analysis near the point of jet formation. Comparison of the predictions with experimental jet shapes shows them to be in semi-quantitative agreement. Especially interesting is the presence of a ‘discontinuity’ in the empirical exponential decay rate of the jet radius occurring at a Reynolds number somewhere between 14 and 20 and the correspondence of this discontinuity with the peculiar behaviour in this range of the Reynolds number of the theoretical eigenvalue.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 25 , Issue 1 , May 1966 , pp. 185 - 198
Copyright
© 1966 Cambridge University Press

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