Abstract
Semiempirical equations have been derived for determining the rate of slow hindered motion of spherical particles in a liquid, which agree with empirical data with a high degree of accuracy. It has been shown that the variational principle of the minimum intensity of energy dissipation can be used in determining the rate of hindered motion.
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REFERENCES
Slobodov, E.B. and Chepura, I.V., On the cell model of two-phase media, Teor. Osn. Khim. Tekhnol., 1982, vol. 16, no. 3, p. 331.
Trushin, A.M., Dmitriev, E.A., Nosyrev, M.A., Tarasova, T.A., and Kuznetsova, I.K., Determining the velocity of the hindered motion of spherical gas particles through liquid in a gravity field, Theor. Found. Chem. Eng., 2013, vol. 47, no. 4, pp. 368–374. https://doi.org/10.1134/S0040579513040337
Trushin, A.M., Dmitriev, E.A., Nosyrev, M.A., Khusanov, A.E., and Kaldybaeva, B.M., General method of measurement of velocity of laminar constrained motion of spherical solid and gas particles in liquids, Theor. Found. Chem. Eng., 2013, vol. 47, no. 6, pp. 730–733. https://doi.org/10.1134/S0040579513060110
Trushin, A.M., Dmitriev, E.A., and Nosyrev, M.A., The use of the variation method to define the velocity of constrained turbulent motion of disperse particles in liquid, Theor. Found. Chem. Eng., 2017, vol. 51, no. 2, pp. 155–158. https://doi.org/10.1134/S0040579517020117
Nosyrev, M.A., Trushin, A.M., Komlyashev, R.B., Kabanov, O.V., and Kuznetsova, I.K., Biogas purification in a microbubble column, Khim. Prom-st. Segodnya, 2018, no. 3, p. 32.
Protod'yakonov, I.O. and Chesnokov, Yu.G., Gidromekhanicheskie osnovy protsessov khimicheskoi tekhnologii (Hydromechanical Fundamentals of Processes in Chemical Technology), Leningrad: Khimiya, 1987.
Shvydkii, V.S., Mekhanika zhidkosti i gaza (Fluid Mechanics), Moscow: Akademkniga, 2003.
Kutepov, A.M., Polyanin, A.D., Zapryanov, Z.D., Vyaz’min, A.V., and Kazenin, D.A., Khimicheskaya gidrodinamika (Chemical Fluid Dynamics), Moscow: Byuro Kvantum, 1996.
Fluidization, Davidson, J.F. and Harrison, D., Eds., London: Academic, 1971.
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Trushin, A.M., Ravichev, L.V., Yashin, V.E. et al. Semiempirical Method for Determining the Rate of Slow Hindered Motion. Theor Found Chem Eng 53, 967–971 (2019). https://doi.org/10.1134/S0040579519060125
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DOI: https://doi.org/10.1134/S0040579519060125