Hostname: page-component-745bb68f8f-kw2vx Total loading time: 0 Render date: 2025-01-27T16:16:38.732Z Has data issue: false hasContentIssue false
  • English
  • Français

The radial spread of a liquid jet over a horizontal plane

Published online by Cambridge University Press:  28 March 2006

E. J. Watson
E. J. Watson
Affiliation:
Department of Mathematics, University of Manchester
Get access Rights & Permissions [Opens in a new window]

Abstract

When a smooth jet of water falls vertically on to a horizontal plane, it spreads out radially in a thin layer bounded by a circular hydraulic jump, outside which the depth is much greater. The motion in the layer is studied here by means of boundary-layer theory, both for laminar and for turbulent flow, and relations are obtained for the radius of the hydraulic jump. These relations are compared with experimental results. The analogous problems of two-dimensional flow are also treated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 20 , Issue 3 , November 1964 , pp. 481 - 499
Copyright
© 1964 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

Bélanger, J.-B. 1838 Résumé de leóns. Paris.
Birkhoff, G. & Zarantonello, E. H. 1957 Jets, Wakes, and Cavities. New York: Academic Press.
Glauert, M. B. 1956 J. Fluid Mech. 1, 625.
Glauert, M. B. 1958 Boundary Layer Research (ed. H. Görtler), p. 72. Berlin: Springer.
Holstein, H. & Bohlen, T. 1940 Lilienthal-Gesellschaft f. Luftfahrtf. S 10, 5.
Homann, F. 1936 Z. angew. Math. Mech. 16, 153.
Kurihara, M. 1946 Research Inst. for Fluid Eng. Kyusyu Imp. Univ. 3, 11.
Lin, C. C. 1945 Quart. Appl. Math. 3, 277.
Neville, E. H. 1944 Jacobian Elliptic Functions. Oxford University Press.
Rayleigh, Lord 1914 Proc. Roy. Soc. A, 90, 324. (Also Scientific Papers, 6, 250.)
Riley, N. 1961 Quart. J. Mech. Appl. Math. 14, 197.
Riley, N. 1962 J. Math. Phys. 41, 132.
Squire, H. B. 1955 50 Jahre Grenzschichtforschung (ed. Tollmien, W. & Görtler, H.), p. 47. Braunschweig: Vieweg.
Tani, I. 1948 J. Phys. Soc. Japan, 4, 212.
Thwaites, B. 1949 Aero. Q. 1, 245.