Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-18T11:21:36.538Z Has data issue: false hasContentIssue false

The relaxation zone behind normal shock waves in a reacting dusty gas. Part 1. Monatomic gases

Published online by Cambridge University Press:  13 March 2009

G. Ben-Dor
Affiliation:
Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel
O. Igra
Affiliation:
Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel

Abstract

The conservation equations for a suspension composed of an ionized gas and small solid dust particles are formulated and solved numerically. Such flows can be found downstream of strong normal shock waves propagating into dusty gases. The solution indicates that the presence of the dust has a significant effect on the post-shock flow field. Owing to the dust, the relaxation zone will be longer than in the pure plasma case; the equilibrium values for the suspension pressure and density will be higher than in the dust-free case, while the obtained values for the temperature, degree of ionization and velocity will be lower. The numerical solution was executed for shock Mach numbers ranging from 10 to 17. It was found that the thermal relaxation length for the plasma decreases rapidly with increasing shock Mach number, while the thermal relaxation length for the suspension mildly increases with increasing M. The kinematic relaxation length passes through a pronounced maximum at i M = 12·5. Throughout the investigated range of Mach numbers, the kinematic relaxation is longer than the suspension thermal relaxation length.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1982

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Appleton, J. P. & Bray, K. N. C. 1964 J. Fluid Mech. 20, 659.CrossRefGoogle Scholar
Carrier, G. F. 1958 J. Fluid Mech. 4, 376.CrossRefGoogle Scholar
Fay, J. A. 1964 High Temperature Aspects of Hypersonic Flow (ed. Nelson, W. C.), pp. 600601. Pergamon.Google Scholar
Finson, M. L. & Kemp, N. H. 1965 Phys. Fluids, 8, 201.Google Scholar
Frost, L. S. & Phelps, A. V. 1964 Phys. Rev. 136, 1538.CrossRefGoogle Scholar
Glass, I. I. & Liu, W. S. 1978 J. Fluid Mech. 84, 55.Google Scholar
Hoffert, M. I. & Lien, H. 1967 Phys. Fluids, 10, 1769.CrossRefGoogle Scholar
Horn, K. P. 1966 Stanford University, SUDAAR 268.Google Scholar
Hornbeck, J. 1951 Phys. Rev. 84, 615.CrossRefGoogle Scholar
Igra, O. & Ben-dor, G. 1980 Israel J. Tech. 18, 159.Google Scholar
Kamimoto, G., Teshima, K. & Nishimura, M. 1972 Dept. Aero Eng., Kyoto University Current Paper No. 36.Google Scholar
Knoos, S. 1968 J. Plasma Phys. 2, 207.CrossRefGoogle Scholar
Kriebel, A. R. 1964 J. Basic Engng. Trans. ASME D, 86, 655.CrossRefGoogle Scholar
Liu, W. S. 1975 University of Toronto Report, UTIAS 198.Google Scholar
Liu, W. S., Whitten, B. T. & Glass, I. I. 1978 J. Fluid Mech. 87, 609.Google Scholar
Marble, F. E. 1970 Ann. Rev. Fluid Mech. 2, 397.CrossRefGoogle Scholar
Massey, H. S. W. & Burhop, E. H. 1952 Electronic and Ionic Impact Phenomena, p. 9. Oxford University Press.Google Scholar
Meiners, D. & Weiss, C. O. 1976 J. Quant. Spectrosc. Radiat. Transfer, 16, 273.CrossRefGoogle Scholar
Oettinger, P. E. & Bershader, D. 1967 AIAAJ, 5, 1625.Google Scholar
Rudinger, G. 1964 Phys. Fluids, 7, 658.CrossRefGoogle Scholar
Rudinger, G. 1973 App. Mech. Rev. 26, 273.Google Scholar
Soo, S. L. 1967 Fluid Dynamics of Multiphase Systems. Blaisdell.Google Scholar
Wong, H. & Bershader, D. 1966 J. Fluid Mech. 26, 459.CrossRefGoogle Scholar