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Determination of nonideal self-sustained detonation regimes of aluminum particles in air

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Combustion, Explosion and Shock Waves Aims and scope

Abstract

A two-velocity two-temperature model of detonation of aluminum particles suspended in oxygen is employed to study the problem of interaction of a plane detonation wave with an adjacent nonequilibrium rarefaction wave formed with instantaneous removal of the sustaining piston. It is confirmed that the Chapman-Jouguet regimes and weak regimes with a supersonic (with respect to the frozen sound velocity) final state are self-sustained. Stable propagation of the structure is shown for the weak regimes with subsonic (with respect to the frozen sound velocity) and supersonic (with respect to the equilibrium sound velocity) final states (which are unstable in a single-velocity approximation). Interaction of an overcompression wave with a rarefaction wave for relaxation-parameter values that fall into the region of existence of Chapman-Jouguet regimes, results in entry into a Chapman-Jouguet regime. A self-sustained regime of weak detonation that corresponds to the given relaxation parameters is realized outside this region.

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References

  1. T. A. Eremeeva, A. E. Medvedev, A. V. Fedorov, and V. M. Fomin, “Theory of ideal and nonideal detonation of air suspensions,” Preprint No. 37-86, Acad. Sci. USSR, Siberian Div., Inst. of Theoretical and Appl. Mech., Novosibirsk (1986).

    Google Scholar 

  2. A. V. Fedorov, “Structure of heterogeneous detonation of aluminum particles dispersed in oxygen,”Fiz. Goreniya Vzryva,28, No. 3, 72–83 (1992).

    Google Scholar 

  3. A. V. Fedorov, V. M. Fomin, and T. A. Khmel’, “Types of detonation flows of aluminum particles in oxygen,”Dokl. Ross. Akad. Nauk,342, No. 2, 185–188 (1995).

    Google Scholar 

  4. A. V. Fedorov and T. A. Khmel’, “Types and stability of detonation flows of aluminum particles in oxygen,”Fiz. Goreniya Vzryva,32, No. 2, 74–85 (1996).

    Google Scholar 

  5. A. V. Fedorov, V. M. Fomin, and T. A. Khmel’, “Real detonation waves in oxygen-aluminum mixtures,” in: Preprints of the 7th Int. Colloq. on Dust Explosions (Bergen, Norway, June 23–26, 1996), Christian Michelsen Research, AS, Bergen (1996), pp. 4.33–4.46.

    Google Scholar 

  6. A. V. Fedorov and T. A. Khmel’, “Interaction of detonation and rarefaction waves in aluminum particles dispersed in oxygen,”Fiz. Goreniya Vzryva 33, No. 2, 102–110 (1997).

    Google Scholar 

  7. A. V. Fedorov, V. M. Fomin, and T. A. Khmel’ “Allowance for velocity nonequilibrium in the theory of detonation of aluminum particles in oxygen,”Dokl. Ross. Akad. Nauk,355, No. 6, 763–767 (1997).

    Google Scholar 

  8. A. V. Fedorov and T. A. Khmel’, “Mathematical modeling of detonation of aluminum powder in oxygen with allowance for velocity nonequilibrium of the particles,”Fiz. Goreniya Vzryva,33, No. 6, 80–90 (1997).

    Google Scholar 

  9. J. C. T. Wang and G. F. Widhoph, “A high-resolution TVD finite volume scheme for the Euler equation in conservation form,” AIAA Paper No. 87-0538 (1987).

  10. P. J. Roache,Computational Fluid Mechanics, Hermosa, Albuquerque (1976).

    Google Scholar 

  11. W. A. Strauss, “Investigation of the detonation of aluminum powder-oxygen mixtures,”AIAA J.,6, No. 12, 1753–1763 (1968).

    Article  Google Scholar 

  12. A. A. Borisov, B. A. Khasainov, B. Beiss’er, et al., “On the detonation of aluminum particles dispersed in air and oxygen,”Khim. Fiz.,10, No. 2, 250–272 (1991).

    Google Scholar 

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Translated fromFizika Goreniya i Vzryva, Vol. 34, No. 5, pp. 95–102, September–October 1998.

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Fedorov, A.V., Khmel, T.A. Determination of nonideal self-sustained detonation regimes of aluminum particles in air. Combust Explos Shock Waves 34, 566–572 (1998). https://doi.org/10.1007/BF02672680

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  • DOI: https://doi.org/10.1007/BF02672680

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