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Magnetohydrodynamic combustion waves in aligned fields

Published online by Cambridge University Press:  13 March 2009

N. Asano
Affiliation:
Department of Engineering Mathematics, The University, Newcastle upon Tyne

Abstract

Steady magnetohydrodynamic combustion waves for a perfectly conducting, electrically neutral perfect gas in an aligned field are examined in phase space, taking into account the effects of viscosity and the thermal conduction as transport processes. Steady defiagration does not exist. Conditions to be satisfied by the initial and final states of detonation waves are derived, which may include an extension of the evolutionarity condition and the Taniuti—Resler relation to shock waves with finite width and energy release. A constraint on the shock wave is given in a conservation form. The exact solution of the final state is also given in such a way that it depends linearly on the energy supply, and may be classified completely by means of the parameters of the solution itself.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1975

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References

REFERENCES

Anderson, J. E. 1963 Magnetohydrodynamic Shock Waves. M.I.T. Press.CrossRefGoogle Scholar
Akhiezer, A. I., Lyubarskii, G. I. & Polovin, R. V. 1958 Soviet Phys. JETP, 8, 507.Google Scholar
Barmin, A. A. 1961 Soviet Phys. Doklady, 6, 374.Google Scholar
Barmin, A. A. 1962 Prkl. Mat. Mekh. 26, 801.Google Scholar
Bertram, L. A. 1973 J. Plasma Phys. 9, 325.CrossRefGoogle Scholar
Chu, M. S. 1972 Phys. Fluids, 15, 413.CrossRefGoogle Scholar
Helliwell, J. B. 1963 J. Fluid Mech. 16, 243.CrossRefGoogle Scholar
Jeffrey, A. & Taniuti, T. 1964 Nonlinear Wave Propagation. Academic.Google Scholar
Leonard, B. P. 1973 J. Plasma Phys. 10, 325.CrossRefGoogle Scholar
Roikhvarger, Z. B. 1974 Soviet Phys. JETP Letters, 19, 264.Google Scholar
Urashima, S. & Morioka, S. 1966 J. Phys. Soc. Japan, 21, 1431.CrossRefGoogle Scholar