Journal of Fluid Mechanics

The shape of low-speed capillary jets of Newtonian liquids

Simon L.  Goren a1 and Stanislaw  Wronski a1 1
a1 Department of Chemical Engineering, University of California, Berkeley, California

Article author query
goren sl   [Google Scholar] 
wronski s   [Google Scholar] 


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.

(Published Online March 28 2006)
(Received August 30 1965)


1 Now at Warsaw Technical University, Warsaw, Poland.