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High-speed water jets from vertically accelerated rotating cones

Published online by Cambridge University Press:  29 March 2006

P. Savic ,
J. D. Allan  and
G. P. Van Blokland
P. Savic
Affiliation:
Mechanical Engineering Division, National Research Council, Ottawa
J. D. Allan
Affiliation:
Mechanical Engineering Division, National Research Council, Ottawa
G. P. Van Blokland
Affiliation:
Mechanical Engineering Division, National Research Council, Ottawa
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Abstract

Water jets are produced by vertically accelerating a rotating cone partially filled with water. It is shown that the acceleration of the parabolic meniscus results in a motion similar to that observed in a shaped explosive charge (Monroe jet). Acceleration of the cone is effected by means of an inductive electromagnetic accelerating device (conical pinch) whose theory is developed in terms of the WKB approximation. A second-order inviscid theory for the motion of the fluid in the cone in terms of the Penney-Price linearization procedure is presented and it is shown that good agreement for the jet head velocity can be achieved for low velocities. At higher velocities, experimental results appear to lag behind the theoretical ones, probably owing to the dispersal of the jet head through viscous drag with the surrounding atmosphere. The shape of the jet at early times is well represented by first-order theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 60 , Issue 4 , 9 October 1973 , pp. 703 - 719
Copyright
© 1973 Cambridge University Press

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References

Abramowitz, M. & Stegun, I. 1965 Handbook of Mathematical Functions, pp. 505–507. Washington: Nat. Bur. Stand.
Birkhoff, G., MacDougall, D. P., Pugh, E. M. & Taylor, G. I., 1948 J. Appl. Phys. 19, 563.
Bless, S. J. 1972 J. Appl. Phys. 43, 1580.
Bowman, T. E. 1966 Proc. Inst. Environmental Sci. San Diego, p. 553.
Clark, J. C. 1949 J. Appl. Phys. 20, 363.
Dudgeon, E. H. 1962 Proc. 5th Int. Congr. High-Speed Photography, p. 303.
Eichelberger, R. J. & Pugh, E. M. 1952 J. Appl. Phys. 23, 537.
Gradshteyn, I. S. & Ryzhik, I. M. 1965 Tables of Integrals, Series and Products. Academic.
Magnus, W., Oberhettinger, F. & Soni, R. P. 1966 Formulas and Theorems for the Special Functions of Mathematical Physics. Springer.
Milgram, J. H. 1969 J. Fluid Mech. 37, 435.
Moody, F. J. & Reynolds, W. C. 1971 ASME Preprint, 71–WA/FE-19.
Moore, R. E. & Perko, L. M. 1965 J. Fluid Mech. 22, 305.
Penney, W. G. & Thornhill, C. K. 1952 Phil. Trans. Roy. Soc. A, 244, 285.
Pugh, E. M., Eichelberger, R. J. & Rostoker, N. 1952 J. Appl. Phys. 23, 532.
Singh, S. 1972 Ind. J. Pure & Appl. Phys. 10, 553.