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Modeling of Separation of Granular Materials on Multiple-Deck Classifiers Using the Theory of Stochastic Processes

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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.

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References

  1. 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

    Article  CAS  Google Scholar 

  2. Gortinskii, V.V., Demskii, A.B., and Boriskin, M.A., Protsessy separirovaniya na zernopererabatyvayushchikh predpriyatiyakh (Separation in Grain Processing Plants), Moscow: Kolos, 1973.

    Google Scholar 

  3. Nepomnyashchii, E.A., Kinetics of the processing of disperse materials, Teor. Osn. Khim. Tekhnol., 1973, vol. 7, no. 5, p.754.

    Google Scholar 

  4. 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.

    Google Scholar 

  5. 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.

    Google Scholar 

  6. 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

    Article  CAS  Google Scholar 

  7. 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.

    Google Scholar 

  8. Vaisberg, L.A., Proektirovanie i raschet vibratsionnykh grokhotov (Design and Calculation of Vibrating Screens), Moscow: Nedra, 1986.

    Google Scholar 

  9. 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

    Article  Google Scholar 

  10. 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.

    CAS  Google Scholar 

  11. 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

    Article  CAS  Google Scholar 

  12. 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

    Article  CAS  Google Scholar 

  13. Tikhonov, V.I. and Mironov, M.A., Markovskie protsessy (Markov Processes), Moscow: Sovetskoe Radio, 1977.

    Google Scholar 

  14. Bharucha-Reid, A.T., Elements of the Theory of Markov Processes and Their Applications, New York: McGraw-Hill, 1960.

    Google Scholar 

  15. Feller, W., An Introduction to Probability Theory and Its Applications, 2 vols., New York: Wiley, 1957, vol. 1, 2nd ed.

  16. 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

    Article  CAS  Google Scholar 

  17. Blekhman, I.I. and Dzhanelidze, G.Yu., Vibratsionnoe peremeshchenie (Vibrational Movement), Moscow: Nauka, 1964.

    Google Scholar 

  18. Nagaev, R.F., Periodicheskie rezhimy vibratsionnogo peremeshcheniya (Periodic Duties of Vibrational Movement), Moscow: Nauka, 1964.

    Google Scholar 

  19. Goncharevich, I.F. and Frolov, K.V., Teoriya vibratsionnoi tekhniki i tekhnologii (Theory of Vibration Engineering and Technology), Moscow: Nauka, 1981.

    Google Scholar 

  20. Generalov, M.B., Flow of bulk materials from apparatuses, Teor. Osn. Khim. Tekhnol., 1985, vol. 19, no. 1, p.53.

    CAS  Google Scholar 

  21. Generalov, M.B., Mekhanika tverdykh dispersnykh sred v protsessakh khimicheskoi tekhnologii (Mechanics of Solid Disperse Media in Chemical Engineering Processes), Kaluga: Izd. Bochkarevoi, 2002.

    Google Scholar 

  22. Soo, S.L., Fluid Dynamics of Multiphase Systems, Waltham, Mass.: Blaisdell, 1967.

    Google Scholar 

  23. Fluidization, Davidson, J.F. and Harrison, D., Eds., London: Academic, 1971.

  24. Khinchin, A.Ya., Mathematical methods of the queuing theory, Tr. Mineral. Inst., Akad. Nauk SSSR, 1955, vol. 49, p.3.

    Google Scholar 

  25. 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

    Article  CAS  Google Scholar 

  26. 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.

    Google Scholar 

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Correspondence to F. G. Akhmadiev.

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Original Russian Text © F.G. Akhmadiev, R.F. Gizzyatov, 2018, published in Teoreticheskie Osnovy Khimicheskoi Tekhnologii, 2018, Vol. 52, No. 3, pp. 306–317.

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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

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