Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-27T11:46:20.286Z Has data issue: false hasContentIssue false
  • English
  • Français

Numerical solution of an integral equation for flow from a circular orifice

Published online by Cambridge University Press:  28 March 2006

Bruce W. Hunt
Bruce W. Hunt
Affiliation:
The Institute of Hydraulic Research, Iowa City, Iowa
Present address: Department of Civil Engineering, The University of Washington, Seattle, Washington.
Get access Rights & Permissions [Opens in a new window]

Abstract

This study was begun as an attempt to either confirm or disprove conflicting results of previous research upon a classical problem in potential theory. An integral equation resulting from a surface distribution of vorticity is used to solve numerically for the flow through a circular orifice. Free-surface profiles and contraction coefficients are determined for four different ratios of orifice area to pipe area, and a comparison is made between the numerical and experimental results of both this study and previous studies.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 31 , Issue 2 , 29 January 1968 , pp. 361 - 377
Copyright
© 1968 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

Abul-Fetouh, A. 1949 Characteristics of irrotational flow from axially symmetric orifices. Ph.D. dissertation, University of Iowa, Iowa.
Garabedian, P. 1956 Calculation of axially symmetric cavities and jets Pacif. J. Math. 6, 611–84.Google Scholar
Gilbarg, D. 1960 Jets and Cavities Encyclopedia of Physics, 9, 311–445.Google Scholar
Hunt, B. 1967 Numerical solution of an integral equation for flow from a circular orifice. Ph.D. dissertation, University of Iowa, Iowa.
Kantorovich, L. & Krylov, V. 1958 Approximate Methods of Higher Analysis. Groningen: P. Noordhoff Ltd.
King, H. & Brater, E. 1963 Handbook of Hydraulics. New York: McGraw-Hill.
Kochin, N., Kibel, I. & Rose, N. 1964 Theoretical Hydromechanics. New York: Interscience Publishers.
Lamb, H. 1932 Hydrodynamics. New York: Dover Publications.
Landweber, L. 1951 The axially symmetric potential flow about elongated bodies of revolution. David Taylor Model Basin Rept. no. 761, NS 715–084.Google Scholar
Landweber, L. 1962 Calculation of potential flows with free streamlines (discussion) ASCE J. of the Hydraulics Division, 88, 223.Google Scholar
Medaugh, F. & Johnson, G. 1940 Investigations of the discharge and coefficients of small circular orifices Civil Engineering, 10, 422–4.Google Scholar
Robertson, J. 1965 Hydrodynamics in Theory and Application. Englewood Cliffs: Prentice-Hall.
Rouse, H. 1946 Elementary Mechanics of Fluids. New York: John Wiley and Sons.
Rouse, H. (Editor) 1959 Advanced Mechanics of Fluids. New York: John Wiley and Sons.
Rouse, H. 1961 Fluid Mechanics for Hydraulic Engineers. New York: Dover Publications.
Rouse, H. & Abul-Fetouh, A. 1950 Characteristics of irrotational flow through axially symmetric orifices J. Appl. Mech. 17, no. 4, 421–6.Google Scholar
Russell, G. 1925 Text-book on Hydraulics. New York: Henry Holt and Co.
Southwell, R. & Vaisy, G. 1948 Relaxation methods applied to engineering problems. XII. Fluid motions characterized by free stream lines. Phil. Trans. Roy. Soc. Lond. A 240, 117–61.Google Scholar
Trefftz, E. 1917 Über die Kontraktion kreisförmiger Flussigkeitsstrahlon Z. Math. Phys. 64, 34.Google Scholar
Vandry, F. 1951 A direct iteration method for the calculation of the velocity distribution of bodies of revolution and symmetrical profiles. Admiralty Research Laboratory Rept. R 1/G/HY/12/2.Google Scholar
Weisbach, J. 1855 Die Experimental-Hydraulik. Freiberg: J. S. Englehardt.