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Stability of a capillary jet with linearly increasing axial velocity (with application to shaped charges)

Published online by Cambridge University Press:  20 April 2006

I. Frankel  and
D. Weihs
I. Frankel
Affiliation:
Department of Aeronautical Engineeing, Technion - Israel Instite of Technology, Haifa 32000, Israel Present address: Department of Ocean Engineering, M.I.T. Cambridge, MA 02139.
D. Weihs
Affiliation:
Department of Aeronautical Engineeing, Technion - Israel Instite of Technology, Haifa 32000, Israel
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Abstract

The stability of a capillary jet of an ideal liquid with a linear variation of axial velocity is investigated. Because of the time dependence in the basic extensional flow the evolution of surface perturbations in the jet is an initial-value problem instead of an eigenvalue one (as in the case of non-stretching jets). The amplification of any given peturbation is found to depend on the elative effects of surface tension and intertia terms associated with the extensional flow as well as on the initial wavenumber and the specific time when the perturbation is introduced in the flow field. The simulation of a shaped-charge jet by the present model is discussed. The esults obtained are found to give a good description of the essential features of the breakup phenomenon of such jets.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 155 , June 1985 , pp. 289 - 307
Copyright
© 1985 Cambridge University Press

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References

Birkhoff, G., MacDougall, D. P., Pugh, E. M. & Taylor, G. I. 1948 Explosives with lined cavities. J. Appl. Phys. 19, 563–582.Google Scholar
Bogy, D. B. 1979 Drop formation in a circular liquid jet. Ann. Rev. Fluid Mech. 11, 207–228.Google Scholar
Carleone, J., Chou, P. C. & Ciccarelli, R. D. 1977 Shaped charge jet stability and penetration calculations. BRL-CR-351.
Chou, P. C. & Carleone, J. 1977 The stability of shaped charge jets. J. Appl. Phys. 48, 4187–4195.Google Scholar
Chou, P. C., Carleone, J., Tanzio, C. A. & Ciccarelli, R. D. 1977 Shaped charge jet breakup studies using radiograph measurements and surface instability calculations. BRL CR-337.
Dipersio, R., Simon, T. & Martin, T. H. 1960 A study of jets from scaled conical shaped charge liners. BRL-MR-1298.
Eichelberger, R. J. 1956 Experimental test of the theory of penetration by metallic jets. J. Appl. Phys. 27, 63–68.Google Scholar
Frankel, I. 1984 Flow and stability in liquid jets with a longitudinal distribution of axial velocity. D.Sc. thesis, Technion.
Goldin, M., Yerushalmi, J., Pfeffer, R. & Shinnar, R. 1969 Breakup of a laminar capillary jet of a viscoelastic fluid. J. Fluid Mech. 38, 689–711.Google Scholar
Lamb, H. 1932 Hydrodynamics (6th edn). Cambridge University Press. (Reprinted by Dover, 1945.)
Levich, V. G. 1962 Physicochemical Hydrodynamics. Prentice-Hall.
Mikami, T., Cox, R. G. & Mason, S. G. 1975 Breakup of extending liquid threads. Intl J. Multiphase Flow 2, 113–138.Google Scholar
Murray, J. D. 1974 Asymptotic Analysis. Clarendon.
Pugh, E. M., Eichelberger, R. J. & Rostoker, N. 1952 Theory of jet formation by charges with lined conical cavities. J. Appl. Phys. 23, 532–536.Google Scholar
Rayleigh, Lord 1894 The Theory of Sound (2nd edn). (Reprinted by Dover, 1945.)
Shelton, R. D. & Arbuckle, A. L. 1979 A calculation of particle size distribution in the breakup of shaped charge jets. J. Appl. Phys. 50, 6190–6195.Google Scholar
Tomotika, S. 1936 Breaking up of a drop of viscous liquid immersed in another viscous fluid which is extending at a uniform rate. Proc. R. Soc. Lond. A 153, 302–318.Google Scholar
Van Thiel, M. & Levatin, J. 1980 Jet formation experiments and computations with a Lagrange code. J. Appl. Phys. 51, 6107–6114.Google Scholar
Weber, C. 1931 Zum Zerfall eines Flüssigkeitsstrahles. Z. angew. Math. Mech. 11, 136–154.Google Scholar