Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-27T13:38:44.333Z Has data issue: false hasContentIssue false
  • English
  • Français

Asymmetric two-dimensional jet efflux from a channel

Published online by Cambridge University Press:  11 April 2006

C. Samuel Martin
C. Samuel Martin
Affiliation:
School of Civil Engineering, Georgia Institute of Technology, Atlanta
Get access Rights & Permissions [Opens in a new window]

Abstract

Irrotational flow of two-dimensional jets from a channel is treated without direct use of a logarithmic hodograph plane. An analytical approach is introduced for solving the general problem of two jets issuing from a channel with three end plates. Numerical values of the contraction coefficient and the angle of jet deflexion are obtained for the special case where the two jets are located symmetrically and all the end plates are in line. Limiting cases of the resulting single-jet problem are the symmetric and asymmetric configurations solved by von Mises. Results for the asymmetric case improve upon the theoretical values reported by von Mises, and compare favourably with existing experimental data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 80 , Issue 1 , 4 April 1977 , pp. 1 - 15
Copyright
© 1977 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

Abramowitz, M. & Stegun, I. A. 1964 Handbook of Mathematical Functions. Washington: Nat. Bur. Stand.
Birkhoff, G. & Zarantonello, E. H. 1957 Jets, Wakes and Cavities, vol. 2. Academic.
Byrd, P. F. & Friedman, M. D. 1954 Handbook of Elliptic Functions for Engineers and Physicists. Springer.
Cassidy, J. J. 1965 Irrotational flow over spillways of finite height. J. Engng Mech. Div., Proc. A.S.C.E. 91 (EM6), 155–173.Google Scholar
Chowchuvech, S. 1961 Flow and discharge characteristics of a two-dimensional orifice (slot) placed unsymmetrically in the approach channel. M.S. thesis, SEATO Graduate School of Engineering.
Cisotti, U. 1908 Vene fluenti. Rendiconti del Circolo Matematico di Palermo, 25, 145–179.Google Scholar
Cisotti, U. 1914 Efflusso da un recipiente forato lateralmente. Rendiconti Reale Accademia dei Lincei, Roma, 23, 73–79.Google Scholar
Greenhill, G. 1910 Theory of a streamline past a plane barrier. Adv. Comm. Aero., Lond. R. & M. no. 19.Google Scholar
Jacobi, C. G. J. 1881 Gesammelte Werke, vol. 1, p. 197. Berlin.
Markland, E. 1965 Calculation of flow at a free overfall by relaxation method. Proc. Inst. Civil Engrs, 31, 71–78.Google Scholar
Martin, C. S. 1967 Hydrodynamics of tire hydroplaning. J. Aircraft, A.I.A.A. 4, 136–140.Google Scholar
Michell, J. H. 1890 On the theory of free streamlines. Phil. Trans. 81, 389–431.Google Scholar
Mises, R. Von 1917 Berechnung von Ausfluss und Überfallzahlen. Z. ver. dtsch. Ing. 61, 447–452, 469–473, 493–498.Google Scholar
Robertson, J. M. 1965 Hydrodynamics in Theory and Application. Prentice-Hall.
Rouse, H. 1946 Elementary Mechanics of Fluids. Wiley.
Strelkoff, T. & Moayeri, S. 1970 Pattern of potential flow in a free overfall. J. Hydraul. Div. Proc. A.S.C.E. 96 (HY4), 879–901.Google Scholar
Thom, A. & Apelt, C. J. 1961 Field Computations in Engineering and Physics. Van Nostrand.