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Vaporization of a liquid drop suddenly exposed to a high-speed airstream

Published online by Cambridge University Press:  26 April 2006

D. D. Joseph
Affiliation:
University of Minnesota, Minneapolis, MN 55455, USA
A. Huang
Affiliation:
University of Minnesota, Minneapolis, MN 55455, USA
G. V. Candler
Affiliation:
University of Minnesota, Minneapolis, MN 55455, USA

Abstract

Many studies of fragmentation of liquid drops at supersonic Mach numbers report the appearance of large amounts of mist. Photographs from other studies, which do not mention mist at all, strongly suggest that copious amounts of mist are formed at the earliest stages of fragmentation. In this paper, we present arguments and calculations which indicate that this mist is formed from condensed vapour arising from the flash vaporization of the hot and low-pressure liquid on the leeside of the drop. Low leeside pressures are produced by the rarefaction of the gas, the acceleration of the drop, and the high tensions generated by rapid stretching of the stripped liquid. The droplet temperature may rise because of heat transfer from the hot gas to thin drop filaments, and by viscous heating due to rapid deformation.

Type
Research Article
Copyright
© 1996 Cambridge University Press

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References

Batchelor, G. K. 1967 An Introduction to Fluid Dynamics, chap. 6. Cambridge University Press.
Brown, R. 1960 Sprays formed by flashing liquid jets. PhD Dissertation, University of Michigan, Ann Arbor.
Candler, G. V. & MacCormack, R. W. 1991 The computation of hypersonic ionized flows in chemical and thermal nonequilibrium. J. Thermophys. Heat Transfer 5, 266273.Google Scholar
Engel, O. G. 1958 Fragmentation of waterdrops in the zone behind an air shock. J. Res. Natl Bur. Stand. 60, 245280.Google Scholar
Fedoseev, V. A. 1958 Dispersion of a stream of superheated liquid. Colloid J. 20, 463466.Google Scholar
Gooderum, P. & Bushnell, D. 1969 Measurement of mean drop sizes for sprays from superheated waterjets. J. Spacecraft Rockets 6, 197198.Google Scholar
Joseph, D. D. 1995 Cavitation in a flowing liquid. Phys. Rev. E 51, R1649R1650.Google Scholar
Karyagin, V. P. & Shvets, A. I. 1991 Experimental investigation of the separation of flow around a sphere. Izv. Akad. Nauk SSSR No. 1, 152156.Google Scholar
Ostrowski, H. S. 1966 Evaporation and induced air flows in sprays produced by superheated water jets. PhD Dissertation, University of Michigan, Ann Arbor.
Ranger, A. A. & Nicholls, J. A. 1969 Aerodynamic shattering of liquid drops. AIAA J. 7, 285290.Google Scholar
Reinecke, W. G. & Waldman, G. D. 1970 A study of drop breakup behind strong shocks with applications to flight. SAMSO-TR-70-142, Avco Systems Division.Google Scholar
Schmidt, J. M. 1949 An experimental study of the behavior of liquid streams injected into a low-pressure chamber. Jet Propulsion Lab., California Institute of Technology.
Short, W. L. 1962 Some properties of sprays formed by the disintegration of a superheated liquid jet. PhD Dissertation, University of Michigan, Ann Arbor.
Simpkins, P. G. & Bales, E. L. 1972 Water-drop response to sudden accelerations. J. Fluid Mech. 55, 629639.Google Scholar
Stephenson, J. M. 1965 A study of cavitation and flashing flows. Washington State Institute of Technology Bull. 290.Google Scholar
Tauber, M. E. & Menees, G. P. 1986 Aerothermodynamics of transatmospheric vehicles. AIAA Paper 86-1257.Google Scholar
Waldman, G. D., Reinecke, W. G. & Glenn, D. 1972 Raindrop breakup in the shock layer of a high-speed vehicle. AIAA J. 10, 12001204.Google Scholar
Yoshida, T. & Takayama, K. 1990 Interaction of liquid droplets with planar shock waves. Trans. ASME J. Fluids Engng 112, 481486.Google Scholar