Abstract
The problem of interaction of an expanding spherical shock wave with a layer of particles is considered within the framework of the model of mechanics of continuous media with due allowance for granular pressure in the dense gas suspension. The influence of particle collisions on the shock wave expansion process is analyzed. Generation of collisional pressure and formation of shock wave structures in the gas suspension are found to be the governing factors of motion of the cloud of particles at the initial stage.
Similar content being viewed by others
References
A. V. Fedorov, “Mixing in Wave Processes Propagating in Gas Mixtures (Review),” Fiz. Goreniya Vzryva 40 (1), 21–37 (2004) [Combust., Expl., Shock Waves 40 (1), 17–31 (2004)].
F. Zhang, D. L. Frost, P. A. Thibault, and S. B. Murray, “Explosive Dispersal of Solid Particles,” Shock Waves 10, 431–443 (2001).
K. Balakrishnan, D. V. Nance, and S. Menon, “Simulation of Impulse Effects from Explosive Charges Containing Metal Particles,” Shock Waves 20, 217–239 (2010).
A. L. Kuhl, J. B. Bell, and V. E. Beckner, “Heterogeneous Continuum Model of Aluminum Particle Combustion in Explosions,” Fiz. Goreniya Vzryva 46 (4), 72–89 (2010) [Combust., Explos., Shock Waves 46 (4), 433–448 (2010)].
A. L. Kuhl and K. Balakrishnan, “Gasdynamic Model of Dilute Two-Phase Combustion Fields,” Fiz. Goreniya Vzryva 48 (5), 59–76 (2012) [Combust., Explos., Shock Waves 48 (5), 544–560 (2012)].
C. A. Sturtzer, M. O. Sturtzer, B. Veyssière, and B. A. Khasainov, “Investigations of the Explosively Dispersed Glass Particles,” in Proc. 24th ICDERS, Taipei, Taiwan, July 28 to August 2, 2013, pp. 1–6.
Y. Grégoire, M.-O. Sturtzer, B. A. Khasainov, and B. Veyssière, “Cinematographic Investigations of the Explosively Driven Dispersion and Ignition of Solid Particles,” Shock Waves 24, 393–402 (2014).
A. V. Fedorov and T. A. Khmel, “Description of Shock Wave Processes in Gas Suspensions Using the Molecular-Kinetic Collisional Model,” Heat Transfer Res. 43 (2), 95–107 (2012).
T. A. Khmel’ and A. V. Fedorov, “Description of Dynamic Processes in Two-Phase Colliding Media with the Use of Molecular-Kinetic Approaches,” Fiz. Goreniya Vzryva 50 (2), 81–93 (2014) [Combust., Expl., Shock Waves 50 (2), 196–207 (2014)].
T. A. Khmel’ and A. V. Fedorov, “Modeling of Propagation of Shock and Detonation Waves in Dusty Media with Allowance for Particle Collisions,” Fiz. Goreniya Vzryva 50 (5), 53–62 (2014) [Combust., Expl., Shock Waves 50 (5), 547–554 (2014)].
T. A. Khmel and A. V. Fedorov, “Numerical Simulation of Dust Dispersion Using Molecular-Kinetic Model for Description of Particle-to-Particle Collisions,” J. Loss Prevent. Process Ind. 36, 223–229 (2015).
A. I. Ivandaev, A. G. Kutushev, and D. A. Rudakov, “Numerical Investigation of Throwing a Powder Layer by a Compressed Gas,” Fiz. Goreniya Vzryva 31 (4), 63–70 (1995) [Combust., Expl., Shock Waves 31 (4), 459–465 (1995)].
A. V. Fedorov and T. A. Khmel, “Cellular Detonations in Bi-Dispersed Gas-Particle Mixtures,” Shock Waves 18, 277–280 (2008).
B. E. Gel’fand, S. P. Medvedev, A. N. Polenov, et al., “Measurement of the Velocity of Weak Disturbances of Bulk Density in Porous Media,” Prikl. Mekh. Tekh. Fiz. 27 (1), 141–144 (1986) [Appl. Mech. Tech. Phys. 27 (1), 127–130 (1986)].
B. C. Fan, Z. H. Chen, X. H. Jiang, and H. Z. Li, “Interaction of a ShockWave with a Loose Dusty Bulk Layer,” Shock Waves 16, 179–187 (2007).
A. V. Fedorov, Yu. V. Kharlamova, and T. A. Khmel’, “Numerical Study of the Transfer of Shock-Wave Loading to a Screened Flat Wall through a Layer of a Powdered Medium and a Subsequent Air Gap,” Fiz. Goreniya Vzryva 43 (1), 121–131 (2007) [Combust., Expl., Shock Waves 43 (1), 104–113 (2007)].
Yu. V. Kratova, A. V. Fedorov, and T. A. Khmel’, “Specific Features of Cellular Detonation in Polydisperse Suspensions of Aluminum Particles in a Gas,” Fiz. Goreniya Vzryva 47 (5), 85–94 (2011) [Combust., Expl., Shock Waves 47 (5), 572–580 (2011)].
Yu. V. Kratova, A. V. Fedorov, and T. A. Khmel’, “Diffraction of a Plane Detonation Wave on a Back-Facing Step in a Gas Suspension,” Fiz. Goreniya Vzryva 45 (5), 95–107 (2009) [Combust., Expl., Shock Waves 45 (5), 591–602 (2009)].
A. V. Fedorov and T. A. Khmel’, “Numerical Simulation of Detonation Initiation with a Shock Wave Entering a Cloud of Aluminum Particles,” Fiz. Goreniya Vzryva 38 (1), 114–122 (2002) [Combust., Expl., Shock Waves 38 (1), 101–108 (2002)].
V. F. Kuropatenko, “Equation of State of Detonation Products of Condensed HEs,” in Numerical Methods of Mechanics of Continuous Media (collected scientific papers), Vol. 8, No. 6 (1977), pp. 68–71.
R. Menikoff, “JWL Equation of State” Report No. LAUR- 15-29536 (Los Alamos Nat. Lab., 2015).
Physics of Explosion, Ed. by L. P. Orlenko (Fizmatlit, Moscow 2003, Vol. 1) [in Russian].
L. D. Landau, “On Shock Waves at Far Distances from the Place of Their Emergence,” Prikl. Mat. Mekh. IX (4), 286–292 (1945).
A. V. Fedorov, E. V. Tetenov, and B. Veyssiere, “Ignition of a Suspension of Metal Particles with an Actual Explosion. I. Statement of the Problem and Solution in a Self-Modeling Approximation,” Fiz. Goreniya Vzryva 27 (5), 16–21 (1995) [Combust., Expl., Shock Waves 27 (5), 527–531 (1995)].
A. V. Fedorov, E. V. Tetenov, and B. Veyssiere, “Ignition of a Suspension of Metal Particles with an Actual Explosion. I. Unidimensional Nonsteady-State Approximation,” Fiz. Goreniya Vzryva 27 (5), 22–28 (1995) [Combust., Expl., Shock Waves 27 (5), 532–538 (1995)].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © T.A. Khmel’, A.V. Fedorov.
Published in Fizika Goreniya i Vzryva, Vol. 53, No. 4, pp. 84–93, July–August, 2017.
Rights and permissions
About this article
Cite this article
Khmel’, T.A., Fedorov, A.V. Role of particle collisions in shock wave interaction with a dense spherical layer of a gas suspension. Combust Explos Shock Waves 53, 444–452 (2017). https://doi.org/10.1134/S0010508217040086
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0010508217040086