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Stochastic model of dust and droplets suspended in humid air. (English. Russian original) Zbl 1145.76049

Vestn. St. Petersbg. Univ., Math. 40, No. 4, 260-268 (2007); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2007, No. 4, 38-46 (2007).
Summary: We suggest a four-component and a simpler three-component stochastic model of dust and droplets suspended in humid air. The evaporation and condensation of vapor, aggregation and dissociation of suspended particles are taken into account. New results are obtained for numerical concentration of aggregating particles.

MSC:

76T10 Liquid-gas two-phase flows, bubbly flows
76T15 Dusty-gas two-phase flows
76T20 Suspensions
76M35 Stochastic analysis applied to problems in fluid mechanics
80A22 Stefan problems, phase changes, etc.
Full Text: DOI

References:

[1] J. P. Hirth and G. M. Pound, Condensation and Evaporation: Nucleation and Growth Kinetics (Pergamon, Oxford, 1963; Metallurgiya, Moscow, 1966).
[2] L. S. Ivlev, Physics of Atmospheric Aerosol Systems (S.-Peterb. Univ., St. Petersburg, 1999) [in Russian].
[3] P. A. Kryukov, ”Kinetic Analysis of Condensation and Evaporation Processes on a Surface,” in Kinetic Theory of Transfer Processes in Evaporation and Condensation: Proceedings of the International School-Seminar, Minsk, Belarus, 1991 (ANK ITMO, Minsk, 1991), pp. 3–21.
[4] V. A. Tsibarov, Kinetic Method in the Theory of Gas Suspensions (S.-Peterb. Univ., St. Petersburg, 1997) [in Russian].
[5] V. A. Tsibarov, ”Stochastic Laws of Conservation in the Theory of Non-Newtonian Fluids,” in: Aerodynamics, Ed. by R. N. Miroshin (S.-Peterb. Univ., St. Petersburg, 2000), pp. 93–119.
[6] V. G. Dulov and V. A. Tsibarov, Mathematical Modeling in Modern Natural Science (S.-Peterb. Univ., St. Petersburg, 2001) [in Russian].
[7] Quick Reference Book of Chemistry, Ed. by V. I. Perel’man (Goshimizdat, Moscow, 1951) [in Russian].
[8] A. L. Stasenko, Physical Mechanics of Multiphasic Flows (Mosk. Inst. Phys. Techn., Moscow, 2004).
[9] V. M. Voloshchuk, Kinetic Theory of Coagulation (Gidrometeoizdat, Leningrad, 1984).
[10] A. N. Verigin, I. A. Shchuplyak, and M. F. Mikhalev, Crystallization in Disperse Systems: Engineering Methods of Calculation (Khimiya, Leningrad, 1986) [in Russian].
[11] O. M. Todes, ”Kinetics of Coagulation and Coarsening of Particles in Sols,” in Problems of Kinetics and Catalysis. Vol. VII: Statistical Phenomena in Heterogeneous Systems (Publishing House of the Academy of Science of the USSR, Moscow, 1949), pp. 137–173.
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