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Hypersonic liquid jets

Published online by Cambridge University Press:  12 April 2006

M. I. G. Bloor
M. I. G. Bloor
Affiliation:
Department of Applied Mathematical Studies, University of Leeds, England
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Abstract

The problem of a liquid jet moving at hypersonic speed into a gas is considered in a frame of reference in which the tip of the jet is at rest. The liquid jet flow is assumed to be inviscid, irrotational, incompressible and two-dimensional although an approximate extension to the axially symmetric case is developed. The air flow in the hypersonic shock layer is analysed using the modified Newtonian theory. The condition of continuity of pressure at the gas-liquid interface then allows a solution to the potential problem in the liquid to be found by transforming to the hodograph plane. The resulting jet shape is presented graphically in terms of the relevant parameters.

The application of the method to penetration problems is also discussed and comparisons made with experimental results and ‘exact’ solutions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 84 , Issue 2 , 30 January 1978 , pp. 375 - 384
Copyright
© 1978 Cambridge University Press

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References

Christman, D. R. & Gehring, J. W. 1966 J. Appl. Phys. 37, 1579.Google Scholar
Dienes, J. K. & Walsh, J. M. 1970 In High Velocity Impact Phenomena (ed. R. Kinslow), p. 45. Academic Press.CrossRefGoogle Scholar
Farmer, I. W. & Attewell, P. B. 1965 Int. J. Rock Mech. Min. Sci. 2, 135.Google Scholar
Finlay, P. J. 1966 J. Fluid Mech. 26, 337.Google Scholar
Freeman, N. C. 1956 J. Fluid Mech. 1, 366.Google Scholar
Harlow, F. H. & Pracht, W. E. 1966 Phys. Fluids 9, 1951.Google Scholar
Hayes, W. D. & Probstein, R. F. 1966 Hypersonic Flow Theory, vol. 1. Inviscid Flows. Academic Press.Google Scholar
Lam, S. H. 1959 Princeton Univ. Rep. no. 447.Google Scholar
Leach, S. J. & Walker, G. L. 1966 Phil. Trans. Roy. Soc. A 260, 295.Google Scholar
Lees, L. 1955 I.A.S. Preprint no. 554.Google Scholar
Pack, D. C. & Evans, W. M. 1951 Proc. Phys. Soc. Lond. B 64, 298.Google Scholar
Rae, W. J. 1970 In High Velocity Impact Phenomena (ed. R. Kinslow), p. 215 Academic Press.Google Scholar
Rollins, R. R., Clark, G. B. & Kalia, H. N. 1973 Int. J. Rock Mech. Min. Sci. 10, 183.Google Scholar
Tate, A. 1967 J. Mech. Phys. Solids 15, 387.Google Scholar
Tate, A. 1969 J. Mech. Phys. Solids 17, 141.Google Scholar