Abstract
The mathematical model of the separation of granular materials on multiple-deck sieve classifiers has been constructed using the theory of Poisson processes and the model has been identified. The problem of the optimal implementation of the process in multicriterial setting has been formulated and solved; the engineering simulation of the classifier has been performed using this solution.
Similar content being viewed by others
References
Akhmadiev, F.G., Gizzyatov, R.F., and Kiyamov, Kh.G., Mathematical modeling of thin-layer separation of granular materials on sieve classifiers, Theor. Found. Chem. Eng., 2013, vol. 47, no. 3, pp. 254–261. https://doi.org/10.1134/S0040579513030019
Gortinskii, V.V., Demskii, A.B., and Boriskin, M.A., Protsessy separirovaniya na zernopererabatyvayushchikh predpriyatiyakh (Separation in Grain Processing Plants), Moscow: Kolos, 1973.
Nepomnyashchii, E.A., Kinetics of the processing of disperse materials, Teor. Osn. Khim. Tekhnol., 1973, vol. 7, no. 5, p.754.
Blekhman, I.I. and Khainman, V.Ya., On the theory of vibrational separation of granular mixtures, Izv. Akad. Nauk SSSR, Mekh., 1965, no. 5, pp. 22–30.
Ogurtsov, V.A. and Egorov, A.D., Method for calculating the sizing of bulk materials in vibrating screens, in Ivanovskii khimiko-tekhnologicheskii institut. Mezhvuzovskii sbornik nauchnykh trudov (Ivanovo Institute of Chemistry and Technology: Interuniversity Collection of Scientific Works), Ivanovo, 1987, p.93.
Beeckmans, J.M. and Jutan, A., Monte Carlo simulation of a probability screen, Can. J. Chem. Eng., 1989, vol. 67, no. 2, p. 329. https://doi.org/10.1002/cjce.5450670220
Mizonov, V.E., Ogurtsov, V.A., and Fedosov, S.V., Modeling of the sizing of polydisperse materials in vibrating screens, Stroit. Mater., 2007, no. 11, p.26.
Vaisberg, L.A., Proektirovanie i raschet vibratsionnykh grokhotov (Design and Calculation of Vibrating Screens), Moscow: Nedra, 1986.
Akulova, M.V., Aleshina, A.P., Ogurtsov, Al.V., and Ogurtsov, An.V., Modeling of the process of classification of granular materials using multilevel vibration screens, Vestn. MGSU, 2013, no. 2, pp. 80–87. https://doi.org/10.22227/1997-0935.2013.2.80-87
Kapranova, A.B., Lebedev, A.E., Bytev, D.O., and Zaitsev, A.I., Stochastic description of the movement of the clarified fraction of a suspension, Izv. Vyssh. Uchebn. Zaved., Khim. Khim. Tekhnol., 2004, vol. 47, no. 6, p.99.
Akhmadiev, F.G. and Nazipov, I.T., Stochastic modeling of the kinetics of processing of heterogeneous systems, Theor. Found. Chem. Eng., 2013, vol. 47, no. 2, pp. 136–143. https://doi.org/10.1134/S0040579513020012
Ivanova, S.A. and Pavsky, V.A., Stochastic modeling of protein solution foaming process, Theor. Found. Chem. Eng., 2014, vol. 48, no. 6, pp. 848–854. https://doi.org/10.1134/S0040579514040198
Tikhonov, V.I. and Mironov, M.A., Markovskie protsessy (Markov Processes), Moscow: Sovetskoe Radio, 1977.
Bharucha-Reid, A.T., Elements of the Theory of Markov Processes and Their Applications, New York: McGraw-Hill, 1960.
Feller, W., An Introduction to Probability Theory and Its Applications, 2 vols., New York: Wiley, 1957, vol. 1, 2nd ed.
Akhmadiev, F.G., Gizzyatov, R.F., and Nazipov, I.T., Hydrogasdynamics and kinetics of separation of disperse media on sieve classifiers, J. Eng. Phys. Thermophys., 2017, vol. 90, no. 5, pp. 1077–1086. https://doi.org/10.1007/s10891-017-1659-x
Blekhman, I.I. and Dzhanelidze, G.Yu., Vibratsionnoe peremeshchenie (Vibrational Movement), Moscow: Nauka, 1964.
Nagaev, R.F., Periodicheskie rezhimy vibratsionnogo peremeshcheniya (Periodic Duties of Vibrational Movement), Moscow: Nauka, 1964.
Goncharevich, I.F. and Frolov, K.V., Teoriya vibratsionnoi tekhniki i tekhnologii (Theory of Vibration Engineering and Technology), Moscow: Nauka, 1981.
Generalov, M.B., Flow of bulk materials from apparatuses, Teor. Osn. Khim. Tekhnol., 1985, vol. 19, no. 1, p.53.
Generalov, M.B., Mekhanika tverdykh dispersnykh sred v protsessakh khimicheskoi tekhnologii (Mechanics of Solid Disperse Media in Chemical Engineering Processes), Kaluga: Izd. Bochkarevoi, 2002.
Soo, S.L., Fluid Dynamics of Multiphase Systems, Waltham, Mass.: Blaisdell, 1967.
Fluidization, Davidson, J.F. and Harrison, D., Eds., London: Academic, 1971.
Khinchin, A.Ya., Mathematical methods of the queuing theory, Tr. Mineral. Inst., Akad. Nauk SSSR, 1955, vol. 49, p.3.
Akhmadiev, F.G., Some problems of multicriteria process optimization, Theor. Found. Chem. Eng., 2014, vol. 48, no. 5, pp. 574–582. https://doi.org/10.1134/S0040579514050145
Akhmadiev, F.G., Gizzyatov, R.F., and Nazipov, I.T., Computer simulation and optimization of the kinetics of the processing of heterogeneous media, Certificate of the State Registration of a Computer Program no. 2016661926, 2016.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © F.G. Akhmadiev, R.F. Gizzyatov, 2018, published in Teoreticheskie Osnovy Khimicheskoi Tekhnologii, 2018, Vol. 52, No. 3, pp. 306–317.
Rights and permissions
About this article
Cite this article
Akhmadiev, F.G., Gizzyatov, R.F. Modeling of Separation of Granular Materials on Multiple-Deck Classifiers Using the Theory of Stochastic Processes. Theor Found Chem Eng 52, 360–370 (2018). https://doi.org/10.1134/S0040579518030028
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0040579518030028