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The three-dimensional detonation polar and an application to spinning detonation

Published online by Cambridge University Press:  28 March 2006

A. K. Macpherson
A. K. Macpherson
Affiliation:
Department of Mechanical Engineering, University of Sydney Present address: Institute for Aerospace Studies, University of Toronto, Toronto, Ontario, Canada.
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Abstract

Expressions are derived for a three-dimensional polar in the pressure ratio, deflexion angle space to represent conditions downstream of a detonation wave with given upstream conditions. An analysis of reflected waves is undertaken and the representation of three wave confluences in a three-dimensional hodograph space studied. These techniques are applied to experimental results available for spin detonation in gaseous mixtures of acetylene-oxygen-argon and carbon monoxide-oxygen. Assumptions made in earlier papers concerning local extinction of combustion at the confluence point are not necessary in this picture.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 35 , Issue 3 , 20 February 1969 , pp. 451 - 479
Copyright
© 1969 Cambridge University Press

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References

Bernstein, L. 1961 A.R.C. Reps. 22619, 22753.
Bone, W. A., Fraser, R. P. & Wheeler, W. H. 1936 Proc. Roy. Soc. A, 235, 29.
Campbell, C. & Woodhead, D. W. 1928 J. Chem. Soc. part II, 2094.
Edwards, D. H., Parry, D. J. & Jones, A. T. 1966 J. Fluid Mech. 26, 321.
Fay, J. A. 1952 J. Chem. Phys. 20, 942.
Glass, G. P., Kistiakowsky, G. B. & Michael, J. V. 1965 J. Chem. Phys. 42, 608.
Gooderum, P. V. 1958 NACA TN 4243.
Guderley, K. G. 1962 The Theory of Transonic Flow. Oxford: Pergamon Press.
Henderson, L. F. 1968 J. Fluid Mech. 30, 399.
Henderson, L. F. & Macpherson, A. K. 1968 J. Fluid Mech. 32, 185.
Homer, J. B. & Kistiakowsky, G. B. 1967 J. Chem. Phys. 46, 4213.
Lighthill, M. J. 1956 Surveys in Mechanics. Cambridge University Press.
Macpherson, A. K. 1968a Int. Acad. of Astro. Proceedings, of Int. Colloquium on Gasdynamics of Explosions. Astron. Acta (in the Press).
Macpherson, A. K. 1968b 12th Symposium (International) on Combustion (in the Press).
Mitrofanov, V. V., Subbotin, V. A. & Topchian, M. E. 1963 PMTF, 3, 45.
Oppenheim, A. K. 1965 Astron. Acta, 11, 391.
Schott, G. L. 1965 Phys. Fluids, 8, 850.
Shchelkin, K. I. & Troshin, Ya. K. 1964 NASA TTF-321.
Soloukhin, R. I. 1966 Comb. & Flame, 10, 51.
Strehlow, R. A. 1964 AIAA J. 2, 908.
Voitsekhovsky, B. V. 1957 Dokl. Akad. Nauk, SSSR 114, 717.
White, D. R. 1963 Phys. Fluids, 6, 1011.
Supplementary material: PDF

Macpherson supplementary material

Tables 3-4

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