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Condensation shocks in nozzle flows

Published online by Cambridge University Press:  11 April 2006

P. A. Blythe
Affiliation:
Center for the Application of Mathematics, Lehigh University, Bethlehem, Pennsylvania 18015
C. J. Shih
Affiliation:
Center for the Application of Mathematics, Lehigh University, Bethlehem, Pennsylvania 18015

Abstract

Supersonic nozzle flows of a condensable vapour are considered in the high activation limit for homogeneous nucleation. Conditions are determined under which the final collapse of the supersaturated state is described by a condensation shock. It is shown that the shock zone is associated with droplet growth: droplet production occurs in a thin layer upstream of the growth region. Some new scaling laws are obtained for the structure of the production layer.

Type
Research Article
Copyright
© 1976 Cambridge University Press

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References

Andres, R. P. 1969 Homogeneous nucleation in a vapor. In Nucleation (ed. A. C. Zettlemoyer). Marcel Dekker.
Blythe, P. A. 1967 Near-frozen quasi-one-dimensional flow. II. Phil. Trans. A 262, 225.Google Scholar
Buhler, R. D. 1952 Condensation of air components in hypersonic wind tunnels. Theoretical calculations and comparison with experiments. Ph.D. thesis, Caltech.
Clark, D. R. 1963 On the flow in a nozzle of a condensing diatomic vapour. Cranfield Coll. Aero. Rep. no. 165.Google Scholar
Daum, P. L. & Gyarmathy, G. 1968 Condensation of air and nitrogen in hypersonic wind tunnels. A.I.A.A. J. 6, 458.Google Scholar
Griffin, J. L. & Sherman, P. M. 1965 Computer analysis of condensation in highly expanded flows. A.I.A.A. J. 3, 1813.Google Scholar
Hill, P. G. 1966 Condensation of water vapour during supersonic expansion in nozzles. J. Fluid Mech. 25, 593.Google Scholar
Hill, P. G., Whitting, H. & Demetri, E. P. 1963 Condensation of metal vapors during rapid expansion. J. Heat Transfer, 6, 303.Google Scholar
Lothe, J. & Pound, G. M. 1962 Reconsiderations of nucleation theory. J. Chem. Phys. 36, 2080.Google Scholar
Lukasiewicz, J. & Royle, J. K. 1953 Effects of air humidity in supersonic wind tunnels. Aero. Res. Counc. R. & M. no. 2563.Google Scholar
Oswatitsch, K. 1941 Die Nebelbildung in Windkanälen und ihr Einfluss auf Modellversuche. Jahrbuch der Deutschen Luftfahrtforschung. 1, 703.Google Scholar
Oswatitsch, K. 1942 Kondensationserscheinungen in Überschalldüsen. Z. angew. Math. Mech. 22, 1.Google Scholar
Petty, D. G. 1968 Some aspects of hypersonic nozzle flows. Ph.D. thesis, University of London.
Pouring, A. A. 1965 Thermal choking and condensation in nozzles. Phys. Fluids, 8, 1802.Google Scholar
Shapiro, A. H. 1953 The Dynamics and Thermodynamics of Compressible Fluid Flow. Ronald Press.
Shih, C. J. 1972 Condensation effects in nozzle flows. Ph.D. thesis, Lehigh University.
Stever, H. G. 1958 Condensation phenomena in high speed flows. In Fundamentals of Gas Dynamics. High Speed Aerodynamics and Jet Propulsion, vol. III. Princeton University Press.
Volmer, M. 1939 Kinetik der Phasenbildung. Steinkopff.
Wegener, P. P. 1969 Gas dynamics of expansion flows with condensation, and homogeneous nucleation of water vapor. In Non-equilibrium Flows, part 1, chap. 4. Marcel Dekker.
Wegener, P. P. 1975 Nonequilibrium flow with condensation. Acta Mechanica. 21, 65.Google Scholar
Wegener, P. P., Clumpner, J. A. & Wu, B. J. C. 1972 Homogeneous nucleation and growth of ethanol drops in supersonic flow. Phys. Fluids. 15, 1869.Google Scholar
Wegener, P. P. & Mack, L. M. 1958 Condensation in supersonic and hypersonic wind tunnels. In Advances in Applied Mechanics, vol. v. Academic.
Wegener, P. P. & Parlange, J. Y. 1967 Non-equilibrium nozzle flow with condensation. Recent Advances in Aerothermochemistry, 2, 607 (Agard Conf. Proc. no. 12).Google Scholar