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Evaporation from a cylindrical surface into vacuum

Published online by Cambridge University Press:  29 March 2006

C. J. Knight
Affiliation:
Avco Everett Research Laboratory Inc., Everett, Massachusetts 02149

Abstract

When evaporation takes place in a surrounding vacuum, the expanding flow from a cylindrical surface is expected to start subsonic and to become supersonic in a short distance. A detailed treatment of this transition is given based on moment equations derived from the BGK model equation using an ellipsoidal approximant to the distribution function. Asymptotic solutions are developed for large source Reynolds numbers and compared with previous treatments. For moderate source Reynolds numbers a numerical procedure is used. In the latter case the treatment predicts that the flow never approaches a state of translational equilibrium.

Type
Research Article
Copyright
© 1976 Cambridge University Press

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References

Anderson, J. B. & Fenn, J. B. 1965 Velocity distributions in molecular beams from nozzle sources Phys. Fluids, 8, 780.Google Scholar
Anisimov, S. S. 1968 Vaporization of metal absorbing laser radiation. Sov. Phys. J. Exp. Theor. Phys. 182.Google Scholar
Cattolica, R., Robben, F. & Talbot, L. 1974 The ellipsoidal velocity distribution function and translational non-equilibrium. Proc. 9th Int. Symp. on Rarefied Gas Dynamics (ed. M. Becker & M. Fiebig), p. B 16. DFVLR-Press.
Edwards, R. H. & Cheng, H. K. 1966 Steady expansion of a gas into a vacuum A.I.A.A. J. 4, 558.Google Scholar
Edwards, R. H. & Collins, R. L. 1969 Evaporation from a spherical source into a vacuum. Proc. 6th Int. Symp. on Rarefied Gas Dynamics (ed. L. Trilling & H. Y. Wachman), p. 1439. Academic.
Hamel, B. B. & Willis, D. R. 1966 Kinetic theory of source flow expansion with applications to the free jet Phys. Fluids, 9, 829.Google Scholar
Hamel, B. B., Willis, D. R. & Lin, J. T. 1972 Development of the distribution function on the centreline of a free jet expansion Phys. Fluids, 15, 573.Google Scholar
Holway, L. H. 1964 Kinetic theory of shock structure using an ellipsoidal distribution function Phys. Fluids, 7, 173.Google Scholar
Shapiro, A. H. 1953 Compressible Fluid Flow, chap. 8. Ronald Press.
Vincenti, W. G. & Kruger, C. H. 1967 Physical Gas Dynamics, chap. 9. Wiley.