Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-03T00:26:48.733Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Brinkman, H. C. 1951 Heat effects in capillary flow I. Appl. Sci. Res., A 2, 120.Google Scholar
Bohr, N. 1909 Determination of the surface tension of water by the method of jet-vibration. Phil. Trans., A 209, 281.Google Scholar
Gavis, J. 1964 Contribution of surface tension to expansion and contraction of capillary jets. Phys. Fluids, 7, 1097.Google Scholar
Goldstein, S. 1930 Concerning some solutions of the boundary layer equations of hydrodynamics. Proc. Camb. Phil. Soc. 26, 1.Google Scholar
Harmon, D. B. 1955 Drop sizes from low speed jets. J. Franklin Inst. 259, 519.Google Scholar
Meksyn, D. 1961 New Methods in Laminar Boundary-Layer Theory. Oxford: Pergamon Press.
Middleman, S. & Gavis, J. 1961 Expansion and contraction of capillary jets of Newtonian liquids. Phys. Fluids, 4, 355. Errata: Phys. Fluids, 4, 1450.Google Scholar
Middleman, S. 1964 Profile relaxation in Newtonian jets. Ind. Eng. Chem. Fundamentals, 3, 118.Google Scholar
Scriven, L. E. & Pigford, R. L. 1959 Fluid dynamics and diffusion calculations for laminary liquid jets. A.I.Ch.E. J. 5, 397.Google Scholar