Research Article
Jan 1973
Fluid Flows from Axisymmetric Orifices and Valves
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VIEW THE REPLYPublication: Journal of the Hydraulics Division
Volume 99, Issue 1
Abstract
The present finite element analysis seeks an approximate solution for the minimization of a functional which is related to the axisymmetric irrotational flow of an ideal fluid as it passes through orifices, valves, or nozzles and emerges as a free-surface jet. The resulting set of linear equations for the nodal values of the velocity potential is symmetric and banded, which can be efficiently solved by the computer. Location of the free surface profile requires the use of an iterative scheme, which is apparently always convergent. Then velocity and pressure distributions can subsequently be evaluated quickly. Curvilinear interior solid boundaries cause no computational difficulties, although results near a convex surface tend to be less accurate than results in other regions. The method can produce good accuracy for such quantities as free surface profiles, and contraction and discharge coefficients; in most, but not all, flow regions it will also produce good results for velocity and pressure distributions. Computer execution time is generally modest.
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Published In
Journal of the Hydraulics Division
Volume 99 • Issue 1 • January 1973
Pages: 81 - 97
Copyright
© 1973 American Society of Civil Engineers.
History
Published in print: Jan 1973
Published online: Feb 3, 2021
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Authors
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Stevens T. K. Chan
Research Assoc., Depts. of Aerospace and Civ. Engrg., Cornell Univ., Ithaca, N.Y.; formerly Grad. Student, Dept. of Civ. Engrg., Univ. of California, Davis, Calif
Bruce E. Larock, AM.ASCE
Assoc. Prof., Dept. of Civ. Engrg., Univ. of California, Davis, Calif
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