Journal of Fluid Mechanics

Vertical slender jets

James F.  Geer a1 and John C.  Strikwerda a2
a1 Department of Systems Science, S.U.N.Y. – Binghamton
a2 Institute for Computer Applications in Science and Engineering

Article author query
geer jf   [Google Scholar] 
strikwerda jc   [Google Scholar] 


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 neglected. 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 orifices in various shapes including an ellipse, a rectangle, and an equilateral triangle. Computational results are presented illustrating the propagation of discontinuities and the formation of thin sheets of fluid.

(Published Online April 19 2006)
(Received November 7 1979)
(Revised March 10 1980)