An asymptotic derivation of the linear stability of the square-wave detonation using the Newtonian limit

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 452, Issue 1953, 1996, Pages 2203-2224

  Short, Mark ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001560928     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1996.0117     Document Type: Article

References (13)

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3. Buckmaster, J. D. & Ludford, G. S. S. 1987 The effect of structure on the stability of detonations I. Role of the induction zone. In 21st Symp. (Int.) on Combustion, pp. 1669-1676. Pittsburgh, PA: The Combustion Institute.
4. Buckmaster, J. D. & Nevis, J. 1988 One-dimensional detonation stability - the spectrum for infinite activation energy. Physics Fluids 31, 3571-3575.
5. Clarke, J. F. & Cant, R. S. 1984 Nonsteady gasdynamic effects in the induction domain behind a strong shock wave. Prog. Astro. Aero. 95, 142-163.
6. Clarke, J. F. 1985 Finite amplitude waves in combustible gases. In The mathematics of combustion (ed. J. D. Buckmaster), pp. 183-245. Philadelphia, PA: SIAM Publications.
7. Erpenbeck, J. J. 1963 Structure and stability of the square-wave detonation. In 9th Symp. (Int.) on Combustion, pp. 442-453. New York: Academic.
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9. Lee, H. I. & Stewart, D. S. 1990 Calculation of linear instability: one-dimensional instability of plane detonation. J. Fluid Mech. 216, 103-132.
10. Kassoy, D. R. & Clarke, J. F. 1985 The structure of a high speed deflagration with a finite origin. J. Fluid Mech. 150, 253-280.
11. Namah, G. S., Brauner, G., Buckmaster, J. & Schmidt-Laine, C. 1991 Linear stability of one-dimensional detonations. In Dynamical issues in combustion theory (IMA volumes in mathematics and its applications 35) (ed. P. C. Fife, A. Linan & F. Williams), pp. 229-239. New York: Springer.
12. Short, M 1996 Multi-dimensional linear stability of a detonation wave at high-activation energy. SIAM Jl Appl. Math. (In the press.)
13. Zaidel, R. M. 1961 The stability of detonation waves in gaseous mixtures. Dokl. Akad. Nauk SSSR 136, 1142-1145.