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Mathematical Modeling of the Process of Centrifugal Washing of Sludge

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Chemical and Petroleum Engineering Aims and scope

In the chemical, food and other industries, in many cases it is necessary to clean crystalline powdery substances to remove surface impurities. For this, at the final stage of the treatment process, they are washed with water or other liquids. In this article, this process is investigated on the example of quantitative analysis of the dissolution of sodium chloride crystals in water by pressure filtration of the solution through the sludge of the processed product on the basis of filtration on centrifugal equipment. To this end, a physico-mathematical problem of the flow of substances in the interstitial capillary gap is formulated in terms of molecular mass by modeling a cylindrical channel. Based on the proposed model and operating parameters of the process of washing NaCl crystals with water from sludge on a centrifugal machine, numerical analysis of the process simulating cleaning the surface of this product to remove impurities was carried out.

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References

  1. G. I. Zubareva, A. V. Gurinovich, and M. I. Degtev, “Methods of wastewater purification to remove heavy metal cations,” Ekol. i Promyshl. Rossii, No. 1, 18–20 (2008).

  2. A. I. Leontieva, M. A. Kolmakova, and V. S. Orekhov, “The use of cyclic-pulsed mode of washing pastes on filtering equipment to improve the quality characteristics of pigments,” Vestn. Tambo. Gosudar.o Tekhn. Univ., 15, No. 1, 113–119 (2009).

    Google Scholar 

  3. Yu. K. Rubanov, Yu. E. Tokach, A. F. Nechaev, and M. N. Ognev, “Тhe galvanic productions waste waters and sludges processing with the heavy metals ions extraction,” Europ. J. Natural History, No. 6, 79–80 (2009).

  4. G. I. Zubareva, E. V. Kopytova, and A. V. Gurinovich, “Thorough treatment of petrochemical wastewater,” Ekol. i Promyshl. Rossii, No. 3, 15–16 (2007).

  5. M. A. Kolmakova, V. S. Orekhov, and A. A. Degtyarev, “Modeling the process of removing water-soluble salts from azo-pigment pastes,” Elektr. Nauchno-Obraz. Zhurn. “Inzh. Vestn. Dona””, 3, No. 17, 357–361 (2011).

    Google Scholar 

  6. M. A. Kolmakova, V. S. Orekhov, and D. N. Trufanov, “Effective removal of soluble salts of fine sediment when using waters of various cluster structure,” Persp. Nauki, No. 1, 91–94 (2012).

  7. V. M. Рopov, V. P. Kabashnikov, V. A. Babenko, et al., “Numeric simulation of non-steady flow of liquid in dry pipe fire protection systems of tree type topology,” Appl. Math. Model., 37, No. 9, 6276–6283 (2013).

    Article  Google Scholar 

  8. K. R. Tarantseva and O. V. Firsova, “Comprehensive assessment of the quality of wastewater in the production of cephalothin sodium salt,” Khim. Neftegaz. Mashinostr., No. 6, 37–41 (2015).

  9. A. R. Sapronov, Technology of Sugar Production [in Russian], Pischevaya Promyshlennost’ (Food Industry) Publishing House, Moscow (1999).

  10. A. A. Alekseev, E. V. Semenov, and A. A. Slavyansky, “Features of the calculation of washing with steaming white crystalline sugar in a centrifuge rotor,” Sakhar, No. 10, 48–51 (2013).

  11. V. I. Sokolov, Centrifugation [in Russian], Khimiya, Moscow (1986).

  12. A. V. Lykov, Theory of Heat Conduction [in Russian], Vysshaya Shkola, Moscow (1967).

  13. B. M. Budak, A. A. Samarski, and A. N. Tikhonov, Collection of Problems in Mathematical Physics [in Russian], GITTL, Moscow (1956).

    Google Scholar 

  14. E. V. Semenov, A. A. Slavyansky, and V. A. Karamzin, “Quantitative modeling of the process of separation of suspensions in the rotor of a filtering batch centrifuge,” Khim. Neftegaz. Mashinostr., No. 11, 7–10 (2014).

  15. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics [Russian translation], Mir, Moscow (1976).

  16. G. K. Batchelor, An Introduction to Fluid Dynamics [Russian translation], Mir, Moscow (1973).

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Authors and Affiliations

  1. Moscow State University of Technology and Management named after K. G. Razumovsky (First Cossack University), Moskva, Russia

    E. V. Semenov, A. A. Slavyanskii, V. А. Gribkova & N. N. Lebedeva

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  1. E. V. Semenov
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  2. A. A. Slavyanskii
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  3. V. А. Gribkova
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  4. N. N. Lebedeva
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Correspondence to E. V. Semenov.

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Translated from Khimicheskoe i Neftegazovoe Mashinostroenie, Vol. 55, No. 4, pp. 16−19, April, 2019.

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Semenov, E.V., Slavyanskii, A.A., Gribkova, V.А. et al. Mathematical Modeling of the Process of Centrifugal Washing of Sludge. Chem Petrol Eng 55, 290–297 (2019). https://doi.org/10.1007/s10556-019-00617-6

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  • DOI: https://doi.org/10.1007/s10556-019-00617-6

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