Fluid Dynamics

, Volume 16, Issue 6, pp 928–931 | Cite as

Theory of convective combustion of an aerosuspension of fuel which contains an oxidant

  • P. B. Vainshtein


In earlier papers [1, 2], the author and Nigmatulin developed a theory of the unsteady propagation of combustion in aerosuspensions of a unitary fuel (a fuel containing an oxidant) at low subsonic velocities of the gas. The assumption of low velocities permits a number of simplifications which reduce the equations describing the mechanics of multiphase reacting media [3, 5] to the equations of unsteady homobaric (with uniform pressure [1, 3, 4, 6]) motion of gas with distributed blowing and heat release. At a constant mass rate of combustion of the particles, these equations have a class of analytic solutions describing the initial stage of convective combustion of aerosuspensions in open and closed regions with allowance for the possible formation of weak shock waves. In the present paper, these solutions are generalized to the case of a more realistic law of combustion of a particle of a unitary fuel [7]. The results are given of a numerical solution to the problems, and these results make it possible, in particular, to analyze the conditions of applicability of the model with a constant mass rate of combustion of the particles.


Combustion Shock Wave Heat Release Early Paper Constant Mass 
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Literature cited

  1. 1.
    P. B. Vainshtein and R. I. Nigmatulin, “Homobaric (with uniform pressure) flows of gas suspensions in the presence of physicochemical reactions,” Dokl. Akad. Nauk SSSR,249, 74 (1979).Google Scholar
  2. 2.
    P. B. Vainshtein, “Convective combustion of aerosuspensions of unitary fuel,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 49 (1980).Google Scholar
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    R. I. Nigmatulin, Fundamentals of the Mechanics of Hetergeneous Media [in Russian], Nauka, Moscow (1978), p. 336.Google Scholar
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    P. B. Vainshtein and R. I. Nigmatulin, “Combustion of gas—particle mixtures,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4, 19 (1971).Google Scholar
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    R. I. Nigmatulin and I. Kh. Rakhmatulina, “Unsteady heat and mass transfer around a. spherical particle,” Zh. Prikl. Mekh. Tekh. Fiz., No, 4, 95 (1977).Google Scholar
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    A. F. Belyaev, V. K. Bobolev, A. P. Korotkov, A. A. Sulimov, and S. V. Chuiko, Transition of the Combustion of Condensed Systems into Explosion [in Russian], Nauka, Moscow (1973). p. 292.Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • P. B. Vainshtein
    • 1
  1. 1.Moscow

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