Abstract
The interaction of a planar shock wave with a loose dusty bulk layer has been investigated both experimentally and numerically. Experiments were conducted in a shock tube. The incident shock wave velocity and particle diameters were measured with the use of pressure transducers and a Malvern particle sizer, respectively. The flow fields, induced by shock waves, of both gas and granular phase were visualized by means of shadowgraphs and pulsed X-ray radiography with trace particles added. In addition, a two-phase model for granular flow presented by Gidaspow is introduced and is extended to describe such a complex phenomenon. Based on the kinetic theory, such a two-phase model has the advantage of being able to clarify many physical concepts, like particulate viscosity, granular conductivity and solid pressure, and deduce the correlative constitutive equations of the solid phase. The AUSM scheme was employed for the numerical calculation. The flow field behind the shock wave was displayed numerically and agrees well with our corresponding experimental results.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Fletcher B. (1976) The interaction of a shock with a dust deposit. J. Phys. D Appl. Phys. 9,197–202
Gelfand BE., Medvedev SP., Borisov AA., Polenov AN., Frolov SM., Tsyganov SA. (1989) Shock loading of stratified dusty systems. Arch. Combust. 9(4): 153–165
Fan B., Li H. Detonation supported by combustible dust deposit. In: Proceedings of the 26th International Symposium on Combustion, Napoles, Italia, pp. 3007-3013. The Combustion Institute, Pittsburgh (1996)
Li H., Fan B., Geng J., Lu S. (1996) Shock wave interaction with surface of combustible dust layers. Sci. China E 39(5): 449-460
Thevand N., Daniel E. (2002) Numerical study of the lift force influence on two-phase shock tube boundary layer characteristics. Shock Waves 11, 279–288
Katsunori D., Igor M., Yoshiaki N.: Numerical simulation of interaction between moving shock wave and solid particle layer. AIAA, 2002–3180 (2002)
Baer MR., Nunziato JW. (1986) A two-phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular materials. Int J Multiphase Flow 12, 861–889
Powers JM., Stewart DS., Krier H.(1990) Theory of two-phase detonations part I: modeling. Combust. Flame 80, 264–279
Zhang F., Frost DL., Thibault PA., Murray SB. (2001) Explosion dispersal of solid particles. Shock Waves 10, 431–443
Gidaspow D. (1994) Multiphase flow and fluidization. Academic Press, San Diego
Liou MS.: Progress towards and improved method: AUSM+. AIAA, 95–1701 (1995)
Soo SL. (1990) Multiphase fluid dynamics. Science Press, Bei**g
Deardorff JW. (1971) On the magnitude of the sub grid scale eddy coefficient. J. Comput. Phys. 7, 120–135
Chapman S., Cowling TG. (1961) The mathematical theory of non-uniform gases. Cambridge University Press, Cambridge
Lun, CKK., Savage SB., Jeffrey DJ., Chepumiy N. (1984) Kinetic theories for granular flow: inelastic particles in couette flow and singly inelastic particles in a general flow field. J. Fluid Mech. 140, 223–256
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by L. Bauwens.
Rights and permissions
About this article
Cite this article
Fan, B.C., Chen, Z.H., Jiang, X.H. et al. Interaction of a shock wave with a loose dusty bulk layer. Shock Waves 16, 179–187 (2007). https://doi.org/10.1007/s00193-006-0059-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00193-006-0059-5