pp. 2949-2962 | Article Number: iejme.2016.241
Published Online: September 07, 2016
Article Views: 689 | Article Download: 873
The problem of reducing the likelihood of detonation and explosion during saturation of a gas or liquid flow with the cloud of particles is considered. The tasks, associated with the formation of particles clouds, dust lifting behind a travelling shock wave, ignition of particles in high-speed and high-temperature gas flows are adjoined to these problems. The conditions of excitation and propagation of detonation waves are determined for the purpose of their initiation, prevention, suppression or damping. A review of existing methods for modeling of two-phased flows is provided. The mathematical model of shock wave interaction with the cloud of solid particles is discussed, and numerical method is briefly described. The numerical simulation of interaction between a supersonic flow and a cloud of particles being in motionless state at the initial time is performed. Calculations are carried out taking into account the influence that the particles cause on the flow of carrier gas.
Keywords: Flight safety; shock wave; detonation; two-phase flow; cloud of particles
Balachandar, S. (2009). A scaling analysis for point-particle approaches to turbulent multiphase flows. International Journal of Multiphase Flow, 35(9), 801–810.
Balachandar, S., & Eaton, J.K. (2010). Turbulent dispersed multiphase flow. Annual Review of Fluid Mechanics, 42, 111–133.
Benkiewicz, K., & Hayashi, A.K. (2003). Two-dimensional numerical simulations of multi-headed detonations in oxygen-aluminum mixtures using an adaptive mesh refinement. Shock Waves, 13(5), 385–402.
Boyko, V.M., Kiselev, V.P., Kiselev, S.P., Papyrin, A.N., Poplavskiy, S.V., & Fomin, V.M. (1996). On the interaction of a shock wave with a cloud of particles. Physics of combustion and explosion, 32(2), 86–99.
Chang, E.J., & Kailasanath, K. (2003). Shock wave interactions with particles and liquid fuel droplets. Shock Waves, 12(4), 333–341.
Crowe, C., Sommerfeld, M., & Tsuji, Y. (1998). Multiphase flows with droplets and particles. (p. 509). Boca Raton: CRC Press.
Desjardins, O., Fox, R., & Villedieu, P. (2008). A quadrature-based moment method for dilute fluid-particle flows. Journal of Computational Physics, 227(4), 2514–2539.
Dombard, J., Leveugle, B., Selle, L., Reveillon, J., Poinsot, T., & Angelo, Y. (2012). Modeling heat transfer in dilute two-phase flows using the mesoscopic Eulerian formalism. International Journal of Heat and Mass Transfer, 55(5–6), 1486–1495.
Eckhoff, R. (2003). Dust explosions in the process industries. (p. 720). Houston: Hardbound: Gulf Professional Publishing.
Gentry, R.A., Martin, R.E., & Daly, B.J. (1966). An Eulerian differencing method for unsteady compressible flow problems. Journal of Computational Physics, 1(1), 87–118.
Fedorov, A.V. (1992). The structure of the heterogeneous detonation of aluminum particles dispersed in oxygen. Physics of combustion and explosion, 28(3), 82–83.
Fedorov, A.V., & Khmel, T.A. (2002). Mathematical modeling of detonation processes in gas suspension of coal particles. Physics of combustion and explosion, 38(6), 103–112.
Fedorov, A.V., & Khmel, T. A. (2005). Numerical modeling of formation of cellular heterogeneous detonation of aluminum particles in oxygen. Physics of combustion and explosion, 41(4), 84–98.
Fedorov, A.V., Kratova, Y.V., Khmel, T.A., & Fomin, V.M. (2008). Propagation of shock and detonation waves in channels of different geometry in gas-suspensions. Physical and chemical kinetics in gas dynamics, (7), 6.
Fevrier, P., Simonin, O., & Squires, K.D. (2005). Partitioning of particle velocities in gas–solid turbulent flows into a continuous field and a spatially uncorrelated random distribution: theoretical formalism and numerical study. Journal of Fluid Mechanics, 533, 1–46.
Fox, R. (2008). A quadrature-based third-order moment method for dilute gas-particle flows. Journal of Computational Physics, 227(12), 6313–6350.
Gicquel, L., Givi, P., Jaberi, F., & Pope, S. (2002). Velocity filtered density function for large eddy simulation of turbulent flows. Physics of Fluids, 14(3), 1196–1213.
Gouesbet, G., & Berlemont, A. (1999). Eulerian and Lagrangian approaches for predicting the behaviour of discrete particles in turbulent flows. Progress in Energy and Combustion Science, 25(2), 133–159.
Jacobs, G.B., & Don, W.S. (2009). A high-order weno-z finite difference based particle-source-in-cell method for computation of particle-laden flows with shocks. Journal of Computational Physics, 228(5), 1365–1379.
Kah, D., Laurent, F., Massot, M., & Jay, S. (2012). A high order moment method simulating evaporation and advection of a polydisperse liquid spray. Journal of Computational Physics, 231(2), 394–422.
Kaufmann, A., Moreau, M., Simonin, O., & Helie, J. (2008). Comparison between Lagrangian and mesoscopic Eulerian modelling approaches for inertial particles suspended in decaying isotropic turbulence. Journal of Computational Physics, 227(13), 6448–6472.
Khmel, T.A., & Fedorov, A.V. (2006). Numerical technologies for heterogeneous detonation investigation of gas suspensions. Mathematical modeling, 18(8), 49–63.
Khmel, T.A., & Fedorov, A.V. (2002). The interaction of a shock wave with a cloud of aluminum particles in a channel. Physics of combustion and explosion, 38(2), 89–98.
Kiselev, V.P., & Kiselev, S.P. (2001). The perturbation of the solid particles motion behind the reflected shock wave. Applied mechanics and technical physics, 42(5), 8–15.
Kiselev, V.P., & Kiselev, S.P. (2001). The rise of dust particles behind the reflected shock wave, moving over a layer of particles. Applied mechanics and technical physics, 42(5), 8–15.
Kutushev, A.G., & Rodionov, S.P. (1998). Plane detonation waves in gas suspensions of unitary fuel with spatially inhomogeneous distribution of particles. Physics of combustion and explosion, 34(5), 103–110.
Kutushev, A.G., & Shorokhova, L.V. (2003). Numerical study of combustion and detonation processes of monofuel aero-cloud in sharply expanding pipes. Chemical Physics, 22(8), 94–99.
Laurent, F., Massot, M., & Villedieu, P. (2004). Eulerian multi-fluid modeling for the numerical simulation of coalescence in polydisperse dense liquid sprays. Journal of Computational Physics, 194(2), 505–543.
Le Veque, R.J. (2002). Finite volume methods for hyperbolic problems. (p. 580). New York: Cambridge University Press.
Loth, E., Sivier, S., & Baum, J. (1997). Dusty detonation simulations with adaptive unstructured finite elements. AIAA Journal, 35(6), 1018–1024.
Ludwig, T., & Roth, P. (1997). Modeling of laminar combustion wave propagation in reactive gas/particle mixtures. International Journal of Multiphase Flow, 23(1), 93–111.
Mashayek, F., & Pandya, R.V.R. (2003). Analytical description of particle/droplet-laden turbulent flows. Progress in Energy and Combustion Science, 29(4), 329–378.
Michaelides, E.E. (1997). Review-the transient equation of motion for particles, bubbles, and droplets. Journal of Fluid Engineering, 119(2), 233–247.
Michaelides, E.E., & Feng, Z.G. (1994). Heat transfer from a rigid sphere in a no uniform flow and temperature field. International Journal of Heat and Mass Transfer, 37(10), 2069–2076.
Montagne, J.L., Yee, H.C., & Vinokur, M. (1989). Comparative study of high-resolution shock-capturing schemes for a real gas. AIAA Journal, 27(10), 1332–1346.
Murray, S.B., Zhang, F., & Thibault, P.A. (1998). Transition from deflagration to detonation in an end multiphase slug. Combustion and Flame, 114(1–2), 13–25.
Pandya, R.V.R., & Mashayek, F. (2002). Two-fluid large-eddy simulation approach for particle-laden turbulent flows. International Journal of Heat and Mass Transfer, 45(24), 4753–4759.
Papalexandris, M.V. (2004). Numerical simulation of detonations in mixtures of gases and solid particles. Journal of Fluid Mechanics, 507, 95–142.
Saito, T. (2002). Numerical analysis of dusty-gas flows. Journal of Computational Physics, 176(1), 129–144.
Saito, T., Marumoto, M., & Takayama, K. (2003). Numerical investigations of shock waves in gas-particle mixtures. Shock Waves, 13(4), 299–322.
Sengupta, K., Shotorban, B., Jacobs, G.B., & Mashayek, F. (2009). Spectral-based simulations of particle-laden turbulent flows. International Journl of Multiphase Flow, 35(9), 811–826.
Shotorban, B. (2011). Preliminary assesment of two-fluid model for direct numerical simulation of particle-laden flows. AIAA Journal, 49(2), 438–443.
Shotorban, B., & Balachandar, S. (2007). A Eulerian model for large-eddy simulation of concentration of particles with small stokes numbers. Physics of Fluids, 19(118107), 12.
Shotorban, B., & Balachandar, S. (2006). Particle concentration in homogeneous shear turbulence simulated via lagrangian and equilibrium eulerian approaches. Physics of Fluids, 18(065105), 16.
Shotorban, B., & Balachandar, S. (2009). Two-fluid approach for direct numerical simulation of particle-laden turbulent flows at small stokes numbers. Physical Review E, 79(5), 056703.
Shotorban, B., Jacobs, G.B., Ortiz, O., & Truong, Q. (2013). An Eulerian model for particles nonisothermally carried by a compressible fluid. International Journal of Heat and Mass Transfer, 65, 845–854.
Smirnov, N.N., Nikitin, V.F., & Legros, J.C. (2000). Ignition and combustion of turbulized dust-air mixtures. Combustion and Flame, 123(1–2), 46–67.
Tsuboi, N., Hayashi, A.K., & Matsumoto, Y. (2000). Three-dimensional parallel simulation of cornstarch-oxygen two-phase detonation. Shock Waves, 10(4), 277–285.
Tunik, Yu.V. (1999). Global modelling of heat release during initiation and propagation of detonation and deflagration waves in methane-air-particle systems. Shock Waves, 9(3). 173–179.
Verman, B., Geurts, B., & Kuerten, H. (1994). Realizability conditions for the turbulent stress tensor in large-eddy simulation. Journal of Fluid Mechanics, 278, 351–362.
Veyssiere, B., Bozier, O., & Khasainov, B.A. (2002). Effect of a suspension of magnesium particles on the detonation characteristics of methane-oxygen-nitrogen mixtures at elevated initial pressures. Shock Waves, 12(3), 227–233.
Wang, B.Y., Wu, Q.S., Wang, C., Igra, O., & Falcovitz, J. (2001). Shock wave diffraction by a cavity filled with dusty gas. Shock Waves, 11(1), 7–14.
Zaichik, L., Simonin, O., & Alipchenkov, V. (2009). An Eulerian approach for large eddy simulation of particle transport in turbulent flows. Journal of Turbulence, 10(9), 1–21.
Zhang, F., Frost, D.L., Thibault, P.A., & Murray, S.B. (2001). Explosive dispersal of solid particles. Shock Waves, 10(6), 431–443.
Zhdan, S.A, & Prokhorov, E.S. (2000). The calculation of the cellular structure of the milling loss detonation in the H2–O2 system. Physics of combustion and explosion, 36(6), 111–112.