The Study of Chain Initiation Effect on the Direct Initiation of Detonation
In this research, effect of combustion reaction
mechanism on direct initiation of detonation has been studied
numerically. For this purpose, reaction mechanism has been
simulated by using a three-step chemical kinetics model. The reaction
scheme consists sequentially of a chain-initiation and chainbranching
step, followed by a temperature -independent chaintermination.
In a previous research, the effect of chain-branching on
the direct initiation of detonation is studied. In this research effect of
chain-initiation on direct initiation of detonation is investigated. For
the investigation, first a characteristic time (τ) for each step of
mechanism, which includes effect of different kinetics parameters, is
defined. Then the effect of characteristic time of chain-initiation (τI)
on critical initiation energy is studied. It is seen that increasing τI,
causes critical initiation energy to be increased. Drawing detonation's
shock pressure diagrams for different cases, shows that in small value
of τI , kinetics has more important effect on the behavior of the wave.
[1] Mazaheri, K., Mechanism of the Onset of Detonation in Direct
Initiation, Ph. D. Thesis, Department of Mechanical Engineering,
McGill University, Canada, (1997).
[2] Sharp, G. j. and Falle, A. E. G., "One-dimensional Numerical
Simulation of Idealized Detonations", Proc. R. Soc. Lond. 455, pp.
1203-1214, (1999).
[3] Eckett, C. A., Quirk, J. J., Shepherd, J. E., "The Role of Unsteadiness in
Direct Initiation of Gaseous Detonation", J. Fluid Mech, Vol. 421, pp.
147-183, (2000).
[4] Short, M. , Quirk, J. J., " On the Nonlinear Stability and Detonability of
a Detonation Wave for a Model Three-step Chain-branching Reaction",
J. Fluid Mech. 339, pp. 89-119, (1997).
[5] Mazaheri, K., Hashemi, S. A., "The Effect of Chain Initiation Reaction
on the Stability of Gaseous Detonations", Combust. Sci. and Tech., Vol.
179, pp. 1701-1736, (2007).
[6] Ng, H. D. , Lee, J. H. S., "Direct Initiation of Detonation with a Multi-
Step Reaction Scheme", J. Fluid Mech, Vol. 476, pp. 179-211, (2002).
[7] Bourlioux, A., Numerical studies of Unstable Detonations, Ph.D Thesis,
Department of Applied and Computational Mathematics, Princeton
University, U.S.A, (1991).
[8] Colella, P., and Woodward, P.R., "The Piecewise Parabolic Method
(PPM) for Gas-dynamical Simulations," J. Comput. Phys., Vol. 54, pp.
174-201, (1984).
[9] Chern, I.L., and Colella, P., "A Conservative Front Tracking Method for
Hyperbolic Conservation Laws," Lawrence Livermore National
Laboratory, UCRL 97200, (1987).
[10] Berger, M.J., &Colella, P., "Local Adaptive Mesh Refinement for Shock
Hydrodynamics," J. Comput. Phys., Vol. 82, pp. 64-84, (1989).
[11] Korobeinikov, V. P., Problems of Point-Blast Theory, American
Institute of Physics, (1991).
[1] Mazaheri, K., Mechanism of the Onset of Detonation in Direct
Initiation, Ph. D. Thesis, Department of Mechanical Engineering,
McGill University, Canada, (1997).
[2] Sharp, G. j. and Falle, A. E. G., "One-dimensional Numerical
Simulation of Idealized Detonations", Proc. R. Soc. Lond. 455, pp.
1203-1214, (1999).
[3] Eckett, C. A., Quirk, J. J., Shepherd, J. E., "The Role of Unsteadiness in
Direct Initiation of Gaseous Detonation", J. Fluid Mech, Vol. 421, pp.
147-183, (2000).
[4] Short, M. , Quirk, J. J., " On the Nonlinear Stability and Detonability of
a Detonation Wave for a Model Three-step Chain-branching Reaction",
J. Fluid Mech. 339, pp. 89-119, (1997).
[5] Mazaheri, K., Hashemi, S. A., "The Effect of Chain Initiation Reaction
on the Stability of Gaseous Detonations", Combust. Sci. and Tech., Vol.
179, pp. 1701-1736, (2007).
[6] Ng, H. D. , Lee, J. H. S., "Direct Initiation of Detonation with a Multi-
Step Reaction Scheme", J. Fluid Mech, Vol. 476, pp. 179-211, (2002).
[7] Bourlioux, A., Numerical studies of Unstable Detonations, Ph.D Thesis,
Department of Applied and Computational Mathematics, Princeton
University, U.S.A, (1991).
[8] Colella, P., and Woodward, P.R., "The Piecewise Parabolic Method
(PPM) for Gas-dynamical Simulations," J. Comput. Phys., Vol. 54, pp.
174-201, (1984).
[9] Chern, I.L., and Colella, P., "A Conservative Front Tracking Method for
Hyperbolic Conservation Laws," Lawrence Livermore National
Laboratory, UCRL 97200, (1987).
[10] Berger, M.J., &Colella, P., "Local Adaptive Mesh Refinement for Shock
Hydrodynamics," J. Comput. Phys., Vol. 82, pp. 64-84, (1989).
[11] Korobeinikov, V. P., Problems of Point-Blast Theory, American
Institute of Physics, (1991).
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:58386", author = "Masoud Afrand and Saeid Farahat and Mehdi Alamkar", title = "The Study of Chain Initiation Effect on the Direct Initiation of Detonation", abstract = "In this research, effect of combustion reaction
mechanism on direct initiation of detonation has been studied
numerically. For this purpose, reaction mechanism has been
simulated by using a three-step chemical kinetics model. The reaction
scheme consists sequentially of a chain-initiation and chainbranching
step, followed by a temperature -independent chaintermination.
In a previous research, the effect of chain-branching on
the direct initiation of detonation is studied. In this research effect of
chain-initiation on direct initiation of detonation is investigated. For
the investigation, first a characteristic time (τ) for each step of
mechanism, which includes effect of different kinetics parameters, is
defined. Then the effect of characteristic time of chain-initiation (τI)
on critical initiation energy is studied. It is seen that increasing τI,
causes critical initiation energy to be increased. Drawing detonation's
shock pressure diagrams for different cases, shows that in small value
of τI , kinetics has more important effect on the behavior of the wave.", keywords = "Detonation initiation, Initiation energy, Reaction
rate, Characteristic time.", volume = "6", number = "11", pages = "2453-6", }