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Combustion of a liquid fuel droplet in the process of non-equilibrium surface evaporation. (English. Russian original) Zbl 1317.80007

Mosc. Univ. Mech. Bull. 69, No. 4, 83-88 (2014); translation from Vestn. Mosk. Univ., Ser. I 69, No. 4, 38-42 (2014).
Summary: As a rule, mathematical combustion and evaporation models are proposed for a single droplet under the assumption that the phase transition is in equilibrium. From theoretical and experimental results it follows that this assumption is valid in the case of large droplets and flat surfaces, but leads to essential errors in the case of small droplets. The aim of this paper is to develop a mathematical model for the droplet combustion with consideration of non-equilibrium evaporation and to evaluate the effect of the non-equilibrium condition imposed on the phase transition at the interface.

MSC:

80A25 Combustion
82C26 Dynamic and nonequilibrium phase transitions (general) in statistical mechanics
82C24 Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics
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References:

[1] F. A. Williams, Combustion Theory (Addison-Wesley, Reading, 1965; Nauka, Moscow, 1980).
[2] V. R. Dushin, N. N. Smirnov, A. V. Kulchitskiy, et al., “Mathematical Simulation for Non-Equilibrium Droplet Evaporation,” Acta Astronaut. 63, 1360-1371 (2008). · doi:10.1016/j.actaastro.2008.05.021
[3] V. B. Betelin, V. F. Nikitin, A. G. Kushnirenko, et al., “Spray Injection and Ignition in a Heated Chamber Modeling,” WSEAS Trans. Fluid Mech. 6(3), 147-159 (2011).
[4] N. N. Smirnov and I. N. Zverev, Heterogeneous Combustion (Mosk. Gos. Univ., Moscow, 1992) [in Russian].
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