{"title":"The Study of Chain Initiation Effect on the Direct Initiation of Detonation","authors":"Masoud Afrand, Saeid Farahat, Mehdi Alamkar","volume":71,"journal":"International Journal of Industrial and Manufacturing Engineering","pagesStart":2356,"pagesEnd":2362,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9319","abstract":"In this research, effect of combustion reaction\nmechanism on direct initiation of detonation has been studied\nnumerically. For this purpose, reaction mechanism has been\nsimulated by using a three-step chemical kinetics model. The reaction\nscheme consists sequentially of a chain-initiation and chainbranching\nstep, followed by a temperature -independent chaintermination.\nIn a previous research, the effect of chain-branching on\nthe direct initiation of detonation is studied. In this research effect of\nchain-initiation on direct initiation of detonation is investigated. For\nthe investigation, first a characteristic time (\u03c4) for each step of\nmechanism, which includes effect of different kinetics parameters, is\ndefined. Then the effect of characteristic time of chain-initiation (\u03c4I)\non critical initiation energy is studied. It is seen that increasing \u03c4I,\ncauses critical initiation energy to be increased. Drawing detonation's\nshock pressure diagrams for different cases, shows that in small value\nof \u03c4I , kinetics has more important effect on the behavior of the wave.","references":"[1] Mazaheri, K., Mechanism of the Onset of Detonation in Direct\nInitiation, Ph. D. Thesis, Department of Mechanical Engineering,\nMcGill University, Canada, (1997).\n[2] Sharp, G. j. and Falle, A. E. G., \"One-dimensional Numerical\nSimulation of Idealized Detonations\", Proc. R. Soc. Lond. 455, pp.\n1203-1214, (1999).\n[3] Eckett, C. A., Quirk, J. J., Shepherd, J. E., \"The Role of Unsteadiness in\nDirect Initiation of Gaseous Detonation\", J. Fluid Mech, Vol. 421, pp.\n147-183, (2000).\n[4] Short, M. , Quirk, J. J., \" On the Nonlinear Stability and Detonability of\na Detonation Wave for a Model Three-step Chain-branching Reaction\",\nJ. Fluid Mech. 339, pp. 89-119, (1997).\n[5] Mazaheri, K., Hashemi, S. A., \"The Effect of Chain Initiation Reaction\non the Stability of Gaseous Detonations\", Combust. Sci. and Tech., Vol.\n179, pp. 1701-1736, (2007).\n[6] Ng, H. D. , Lee, J. H. S., \"Direct Initiation of Detonation with a Multi-\nStep Reaction Scheme\", J. Fluid Mech, Vol. 476, pp. 179-211, (2002).\n[7] Bourlioux, A., Numerical studies of Unstable Detonations, Ph.D Thesis,\nDepartment of Applied and Computational Mathematics, Princeton\nUniversity, U.S.A, (1991).\n[8] Colella, P., and Woodward, P.R., \"The Piecewise Parabolic Method\n(PPM) for Gas-dynamical Simulations,\" J. Comput. Phys., Vol. 54, pp.\n174-201, (1984).\n[9] Chern, I.L., and Colella, P., \"A Conservative Front Tracking Method for\nHyperbolic Conservation Laws,\" Lawrence Livermore National\nLaboratory, UCRL 97200, (1987).\n[10] Berger, M.J., &Colella, P., \"Local Adaptive Mesh Refinement for Shock\nHydrodynamics,\" J. Comput. Phys., Vol. 82, pp. 64-84, (1989).\n[11] Korobeinikov, V. P., Problems of Point-Blast Theory, American\nInstitute of Physics, (1991).","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 71, 2012"}