Two-phase modeling of DDT: Structure of the velocity-relaxation zone

Physics of Fluids

Volumn 9, Issue 12, 1997, Pages 3885-3897

  Kapila, A K ^a   Son, S F ^b   Bdzil, J B ^b   Menikoff, R ^b   Stewart, D S ^c  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

^c UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000744590     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869488     Document Type: Article

References (13)

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3. G Rudinger, "Some properties of shock relaxation in gas flows carrying small particles," Phys. Fluids 7, 658 (1964).
4. M. R. Baer and J. W. Nunziato, "A two-phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular materials," Int. J. Multiphase Flow 12, 861 (1986).
5. M. R. Baer and J. W. Nunziato, ''Compressive combustion of granular materials induced by low-velocity impact," Ninth Symposium (International) on Detonation, Portland, Oregon, 293 (1989).
6. J. M. Powers, D. S. Stewart, and H. K. Krier, "Theory of two-phase detonation-Part I: Structure," Combuu Flame 80, 280 (1990).
7. R. S. Menikoff, J. B. Bdzil, A. K. Kapila, S. F. Son, and D. S. Stewart, "Two-phase modelling of DDT: Review of modelling issues," Phys. Fluids (submitted).
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9. R. B. Birc, W. E. Stewart, and E. N. Lightfoot, Transport Phenomena (Wiley, New York, 1960), pp. 382,401.
10. R. I. Nigmatulin, Dynamics of Multiphase Media, Vol. I (Hemisphere, New York, 1991), pp. 358-372.
11. A. V. Fedorov and N. N. Fedorova, "Structure, propagation and reflection of shock waves in a mixture of solids (the hydrodynamic approximation)," Prikl. Mekh Tekhn. Fiz. 4, 10 (1992).
12. P. Embid and M. R. Baer, "Mathematical analysis of a two-phase model for reactive granular materials," J. Continuum Mech. Thermodyn. 4, 279 (1992).
13. S. F. Son, J. B. Bdzil, A. K. Kapila, R. S. Menikoff, and D. S. Stewart, "Two-phase modelling of DDT: Numerical issues and regularization," (in preparation).