Hostname: page-component-76fb5796d-2lccl Total loading time: 0 Render date: 2024-04-28T03:35:12.731Z Has data issue: false hasContentIssue false
  • English
  • Français

Vertical slender jets with surface tension

Published online by Cambridge University Press:  20 April 2006

James F. Geer  and
John C. Strikwerda
James F. Geer
Affiliation:
State University of New York, Binghamton
John C. Strikwerda
Affiliation:
University of Wisconsin, Madison
Get access Rights & Permissions [Opens in a new window]

Abstract

The shape of a vertical slender jet of fluid falling steadily under the force of gravity is studied. The problem is formulated as a nonlinear free boundary-value problem for the potential. Surface-tension effects are included and studied. The use of perturbation expansions results in a system of equations that can be solved by an efficient numerical procedure. Computations were made for jets issuing from three different orifice shapes, which were an ellipse, a square, and an equilateral triangle. Computational results are presented illustrating the effects of different values for the surfacetension coefficient on the shape of the jet and the periodic nature of the cross-sectional shapes.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 135 , October 1983 , pp. 155 - 169
Copyright
© 1983 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

Dennis, J. E., Gay, D. M. & Welsch, R. E. 1981 An adaptive nonlinear least-squares algorithm ACM Trans. Math. Software 7, 348–368.Google Scholar
Geer, J. F. 1977a Slender streams with gravity: outer asymptotic expansions II. Phys. Fluids 20, 1613–1621.Google Scholar
Geer, J. F. 1977b Slender streams with gravity: outer asymptotic expansions II. Phys. Fluids 20, 1622–1630.Google Scholar
Geer, J. F. & Strikwerda, J. C. 1980 Vertical slender jets J. Fluid Mech. 101, 53–63.Google Scholar
Green, A. E. 1977 On the steady motion of jets with elliptical sections Acta Mech. 26, 171–177.Google Scholar
Keller, J. B. 1983 Capillary waves on a vertical jet J. Fluid Mech. 135, 171–173.Google Scholar
Maccormack, R. W. 1969 The effect of viscosity in hypervelocity impact cratering. AIAA Hypervelocity Impact Conf., April 1969; AIAA Paper 69–354.Google Scholar
Rayleigh, Lord 1879 On the capillary phenomena of jets Proc. R. Soc. Lond. 29, 71–97.Google Scholar
Rayleigh, Lord 1945 The Theory of Sound, 2nd edn. Dover.
Strikwerda, J. C. & Geer, J. F. 1980 A numerical method for computing the shape of a vertical slender jet SIAM J. Sci. Statist. Comput. 1, 449–466.Google Scholar
Tuck, E. O. 1976 The shape of free jets of water under gravity J. Fluid Mech. 76, 625–640.Google Scholar