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Annular Borda flow

Published online by Cambridge University Press:  28 March 2006

A. M. Binnie
Affiliation:
Engineering Laboratory, Cambridge University

Abstract

A remarkably stable type of revolving hollow water jet was generated in a vertical pipe, fixed in the base of a large tank, by first establishing Borda free flow, in which the jet springs clear of the pipe wall. Swirl was then imparted to the oncoming water, and an air core formed in the jet which was of varicose shape with alternate swellings and contractions of both its inner and outer surfaces. The observed wavelengths are compared with the theory, in which inertia and surface tension but not viscosity and gravity are taken into account.

Type
Research Article
Copyright
© 1964 Cambridge University Press

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References

Binnie, A. M. & Davidson, J. F. 1949 Proc. Roy. Soc. A, 199, 443.
Binnie, A. M. & Hookings, G. A. 1948 Proc. Roy. Soc. A, 194, 400.
Binnie, A. M. & Teare, J. D. 1956 Proc. Roy. Soc. A, 235, 78.
Lamb, Sir H. 1932 Hydrodynamics, 6th ed. Cambridge University Press.
Rayleigh, Lord 1878 Proc. Lond. Math. Soc. 10, 4 (Papers 1, 361).
Rayleigh, Lord 1879 Proc. Roy. Soc. 29, 71 (Papers 1, 377).