Abstract
An Eulerian-Lagrangian simulation of the thermobaric explosion and the propagating detonation waves with aluminum particle combustion in a closed chamber is carried out and validated very favorably with the pressure histories measured experimentally. A novel numerical framework based on the space-time conservation-element and solution-element method (CE/SE) was employed to simulate the complex detonating flow with detailed chemistry. A discrete particle technique was adopted with either a mono-dispersed or poly-dispersed particle distribution. The results between the experiment and simulation on pressure histories and corresponding impulse forces are compared and showed good agreement. In addition, the effects of metal combustion on afterburning were discussed in detail in terms of the reaction mechanisms and particle dynamics.
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Abbreviations
- C D :
-
drag coefficient
- c p :
-
specific heat coefficient
- D :
-
drag function or diameter
- d 0 :
-
particle diameter
- e :
-
specific internal energy
- E t :
-
specific total energy
- f x m , f y m , f z m :
-
primitive flux vectors
- h :
-
specific enthalpy
- K :
-
burning rate constant
- m p :
-
particle mass
- q l :
-
net rate of progress
- r :
-
particle radius
- R e :
-
Reynolds number
- S(u m ):
-
particle source term vector
- W(u m ):
-
chemical source term vector
- W k :
-
molar weight
- u, v, w :
-
flow velocities
- x, y, z :
-
spatial coordinates
- y k :
-
mass fraction
- ρ :
-
density
- Ω k :
-
production rate
- ϕ :
-
volume fraction
- g :
-
gas
- x, y, z :
-
spatial direction
- k :
-
species index
- l :
-
liquid
- o :
-
initial value
- p :
-
particle index
References
Kim, K., Wilson, W., Colon, J., Kreitinger, T., Needham, C., et al., “Non-Ideal Explosive Performance in a Building Structure,” in: Design against Blast: Load Definition & Structural Response, Syngellakis, S., (Ed.), WIT Press, pp. 87–95 2013.
Massoni, J., Saurel, R., Lefrancois, A., and Baudin, G., “Modeling Spherical Explosions with Aluminized Energetic Materials,” Shock Waves, Vol. 16, No. 1, pp. 75–92, 2006.
Price, E. W., Sigman, R. K., Sambamurthi, J. K., and Park, C. J., “Behavior of Aluminum in Solid Propellant Combustion,” Georgia Institute of Technology, ADA118128, 1982.
Kim, C.-K. and Hwang, J. S., “Numerical Modeling for the Performance Prediction of Thermobaric Explosive,” Proc. of 1st KISEM, 2009.
Kim, C.-K., Hwang, J.-S., and Im, K.-S., “Numerical Simulation of Afterburning of Thermobaricexplosive Products in Air,” Proc. of 23rd International Symposium on Ballistics, Tarragona, pp. 201–208 2007.
Kim, C.-K., Moon, J. G., Lai, M.-C., and IM, K.-S., “Afterburning of TNT Explosive Products in Air with Aluminum Particles,” Proc. of 46th AIAA Aerospace Sciences Meeting and Exhibit, AIAA 2008-1029, 2008.
Schwer, D. and Kailasante, K., “Blast Mitigation by Water Mist (1) Simulation of Confined Blast Waves,” Naval Research Laboratory, Report No. NRL/MR/6410-02-8636, 2002.
Benkiewicz, K. and Hayashi, K., “Two-dimensional Numerical Simulations of Multi-Headed Detonations in Oxygen-Aluminum Mixtures Using an Adaptive Mesh Refinement,” Shock Waves, Vol. 12, No. 5, pp. 385–402, 2003.
Zhang, F., Frost, D. L., Thibault, P. A., and Murray, S. B., “Explosive Dispersal of Solid Particles,” Shock Waves, Vol. 10, No. 6, pp. 431–443, 2001.
Dukowicz, J. K., “A Particle-Fluid Numerical Model for Liquid Sprays,” Journal of Computational Physics, Vol. 35, No. 2, pp. 229–253, 1980.
Brzustowski, T. and Glassman, I., “Vapor-Phase Diffusion Flames in the Combustion of Magnesium and Aluminum. I-Analytical Developments,” Proc. of Heterogeneous Combustion Conference, Paper No. 489, 1963.
Law, C. K., “A Simplified Theoretical Model for the Vapor-Phase Combustion of Metal Particles,” Combustion Science and Technology, Vol. 7, No. 5, pp. 197–212, 1973.
Glassman, I., “Metal Combustion Processes,” Princeton University, ARS Preprint No. 938-59, 1959.
Needham, C., Crepeau, J., and Caipen, T., “A Computational Aluminum Particulate Burn Model,” MABS 17, Session VIII, P02, 2002.
Khasainov, B., and Veyssiere, B., “Steady, Plane, Double-Front Detonations in Gaseous Detonable Mixtures Containing a Suspension of Aluminum Particles,” Progress in Astronautics and Aeronautics, Vol. 114, pp. 284–299, 1988.
Zhang, F., Gerrard, K., and Ripley, R. C., “Reaction Mechanism of Aluminum-Particle-Air Detonation,” Journal of Propulsion and Power, Vol. 25, No. 4, pp. 845–858, 2009.
Zhang, Z.-C., Yu, S. J., and Chang, S.-C., “A Space-Time Conservation Element and Solution Element Method for Solving the Two-and Three-Dimensional Unsteady Euler Equations Using Quadrilateral and Hexahedral Meshes,” Journal of Computational Physics, Vol. 175, No. 1, pp. 168–199, 2002.
Crowe, C. T., Schwarzkopf, J. D., Sommerfeld, M., and Tsuji, Y., “Multiphase Flows with Droplets and Particles,” CRC Press, 2011.
Gordon, S. and McBride, B. J., “Computer Program for Calculation of Complex Chemical Equilibrium Compositions, Rocket Performance, Incident and Reflected Shocks, and Chapman-Jouguet Detonations,” NASA, No. SP-273, 1976.
Okhitin, V. N., Selivanov, V. V., and Zibarov, A. V., “Combustion of Energetic Materials,” Begell House, New York, pp. 1072–1089 2002.
Faeth, G., “Current Status of Droplet and Liquid Combustion,” Progress in Energy and Combustion Science, Vol. 3, No. 4, pp. 191–224, 1977.
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Kim, CK., Lai, MC., Zhang, ZC. et al. Modeling and numerical simulation of afterburning of thermobaric explosives in a closed chamber. Int. J. Precis. Eng. Manuf. 18, 979–986 (2017). https://doi.org/10.1007/s12541-017-0115-3
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DOI: https://doi.org/10.1007/s12541-017-0115-3