Shock Waves

, Volume 15, Issue 1, pp 13–20 | Cite as

On shock wave propagation in a branched channel with particles

Original Article


The problem of wave propagation in a dust–air mixture inside a branched channel has not been studied widely in literature, even though this topic has many important applications especially in process safety (dust explosions). In this paper, a shock wave interaction with a cloud of solid particles, and the further behaviour of both gas and particulate phases were studied using numerical techniques. The geometry mimicked a real channel where bends or branches are common. Two numerical approaches were used: Eulerian–Eulerian and Eulerian–Lagrangian. Using Eulerian-Lagrangian simulation, it was possible to include the effects of particle–particle and particle–wall collisions in a realistic and direct manner. Results are mainly shown as snap-shots of particle positions during the simulations and statistics for the particle displacement. The results show that collisions significantly influence the process of particle cloud formation.


Shock wave interaction Shock wave attenuation Numerical simulation 


  1. 1.
    Crowe, C., Sommerfeld, M., Tsuji, Y.: Multiphase Flows with Droplets and Particles. CRC Press LLC (1998)Google Scholar
  2. 2.
    Igra, O., Wang, I., Falcovitz, J., Heilig, W.: Shock wave propagation in a branched duct. Shock Waves 8, 375–381 (1998)MATHCrossRefGoogle Scholar
  3. 3.
    Wang, B.Y., Wu, Q.S., Wang, C., Igra, O., Falcovitz, J.: Shock wave diffraction by a square cavity filled with dusty gas. Shock Wave 11, 7–14 (2001)MATHCrossRefGoogle Scholar
  4. 4.
    Park, J.S., Baek, S.W.: Interaction of a moving shock wave with a two-phase reacting medium. Int. J. Heat Mass Transf. 46, 4717–4732 (2003)MATHCrossRefGoogle Scholar
  5. 5.
    Igra, O., Hu, I., Falcovitz, J., Wang, B.Y.: Shock wave reflection from a wedge in a dusty gas. Int. J. Multiphase Flow 30, 1139–1169 (2004)MATHCrossRefGoogle Scholar
  6. 6.
    Boiko, V.M., Kiselev, V.P., Kiselev, S.P., Papyrin, A.N., Poplavsky, S.V., Fomin, V.M.: Shock wave interaction with a cloud of particles. Shock Waves 7, 275–285 (1997)MATHCrossRefGoogle Scholar
  7. 7.
    Klemens, R., Kosinski, P., Wolanski, P., Korobeinikov, V.P., Markov, V.V., Menshov, I.S., Semenov, I.V.: Numerical study of dust lifting in channel with vertical obstacles. J. Loss Prevent. Process Inds. 14, 469–473 (2001)CrossRefGoogle Scholar
  8. 8.
    Rogue, X., Rodriguez, G., Haas, J.F., Saurel, R.: Experimental and numerical investigation of the shock-induced fluidization of a particle bed. Shock Waves 8, 29–45 (1998)MATHCrossRefGoogle Scholar
  9. 9.
    Toro, E.F.,: Riemann Solvers and Numerical Methods for Fluid Dynamics. Springer, Berlin Heidelberg New York (1999)MATHGoogle Scholar
  10. 10.
    Brown, P.N., Byrne, G.D., Hindmarsh, A.C.: VODE: A variable coefficient ODE solver. SIAM J. Sci. Stat. Comput. 10(5), 1038–1051 (1989)MATHCrossRefMathSciNetGoogle Scholar
  11. 11.
    Goldschmidt, M.J.V., Kuipers, J.A.M, Van Swaaij, W.P.M.: Hydrodynamic modelling of dense gas-fluidised beds using the kinetic theory of granular flow: effect of coefficient of restitution on bed dynamics. Chem. Eng. Sci. 56, 571–578 (2001)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Institute for Physics and TechnologyThe University of BergenBergenNorway

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