Remarks on diffusionless combustion

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

Volumn 358, Issue 1764, 2000, Pages 3605-3620

  Clarke, John F ^a   Nikiforakis, Nikolaos ^b  

^a CRANFIELD UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Asymptotic theory; Compressible reactive flow; Detonation initiation; Numerical simulations; Unsteady diffusionless combustion

Indexed keywords

EID: 0346426333     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. Blythe, P. A. & Crighton, D. G. 1989 Shock-generated ignition: the induction zone. Proc. R. Soc. Lond. A 426, 189-209.
2. Clarke, J. F. 1981 On the propagation of gas dynamic disturbances in an explosive atmosphere. In Proc. 7th Int. Coll. on Gasdynamics of Explosions and Reactive Systems, Göttingen, 1979: American Institute of Aeronautics & Astronautics. Prog. Astronaut. Aeronaut. 76, 383-402.
3. Clarke, J. F. 1989 Fast flames, waves and detonations. Prog. Energy Combust. Sci. 15, 241-271.
4. Dold, J. W. 1989 Induction period generation of a supersonic flame. Lecture Notes in Physics (ed. A. Dervieux & B. Larrouturou), vol. 351, pp. 243-256. Springer.
5. Dold, J. W. 1991 Emergence of a detonation within a reacting medium. In Fluid dynamical aspects of combustion theory (ed. A. Tesei & M. Onofri), pp. 161-183. London: Longman.
6. Dold, J. W. & Kapila, A. K. 1991 Comparison between shock initiations of detonation using thermally-sensitive and chain-branching chemical models. Combust. Flame 85, 185-194.
7. Dold, J. W., Clarke, J. F. & Short, M. 1994 Steady and unsteady aspects of detonation initiation. In Combustion in high-speed flows (ed. J. B. Buckmaster, T. L. Jackson & A. Kumar), pp. 493-512. Bordrecht: Kluwer.
8. Friedman, A. & Herrero, M. A. 1990 A nonlinear nonlocal wave equation arising in combustion theory. Nonlin. Analysis Theor. Meth. Applic. 14, 93-106.
9. Jackson, T. L., Kapila, A. K. & Stewart, B. S. 1989 Evolution of a reaction center in an explosive material. SIAM Jl Appl. Math. 49, 432-458.
10. Nikiforakis, N. & Clarke, J. F. 1996 Numerical studies of the evolution of detonations. Math. Comput. Model. 24, 149-164.
11. Parkins, C. J. 1998 Newtonian asymptotics for detonation initiation. PhD thesis, Department of Applied Mathematics and Theoretical Physics, University of Cambridge.
12. Shchelkin, K. I. & Troshin, Ya. K. 1963 Gasdynamics of combustion. Moscow: Akademii Nauk SSSR (Engl. transl. 1963 NASA TT F-231).
13. Singh, G. & Clarke, J. F. 1992 Transient phenomena in the initiation of a mechanically driven detonation. Proc. R. Soc. Lond. A 438, 23-46.
14. Van Dyke, M. B. 1975 Perturbation methods in fluid mechanics. Stanford, CA: Parabolic.
15. Zeldovich, Ya. B., Barenblatt, G. I., Librovich, V. B. & Makhviladze, G. M. 1985 The mathematical theory of combustion and explosion. New York: Plenum.