A mass-transfer equation, the solution of which for given boundary conditions makes it possible to derive in analytical form a relationship between the extraction of the solid phase of a suspension into the centrifuge effluent and the fineness of the particles, is suggested on the basis of a model; this is of particular importance in connection with the development of a new trend in the utilization of filtering centrifuges – concentration of coal slurries by extraction into the centrifuge effluent of the finest particles, the ash content of which is substantially higher than that of particles of the coarser classes. Results are presented for production studies under conditions at an active establishment (the Neryungrinskaya Enrichment Factory); these results confirmed the adequacy of the mathematical model proposed: convergence of computed and experimental data was within the limits of the experimental error (no more than 3%). The model in question can be used to predict results of suspension separation by centrifugal filtration.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. E. Shkoropad and O. P. Novikov, Centrifuges and Separators for Chemical Productions [in Russian], Khimiya, Moscow (1987).
D. E. Shkoropad, Centrifuges for Chemical Productions [in Russian], Mashinostroenie, Moscow (1975).
V. I. Sokolov, Modern Industrial Centrifuges [in Russian], 2nd edition, revised and supplemented, Mashinostroenie, Moscow (1967).
Designs and Analyses of Filtering Centrifuges [in Russian], Nedra, Moscow (1976).
A. I. Moshinskii, “Certain models of cake pressing in a filtering centrifuge,” Khim. Neft. Mashinostr., No. 1, 74–79 (1985).
G. Yu. Golberg, Yu. B. Rubinshtein, and S. A. Osadchii, “Laws governing classification of slurries in filtering centrifuges,” Khim. Neft. Mashinostr., No. 7, 10–12 (2008).
E. V. Tolubinskii, Theory of Transfer Processes [in Russian], Naukova Dumka, Kiev (1969).
V. F. Pozhidaev, “Statistical description of the distributions of grain mixtures,” Gorn. Zh., No. 8, 150–153 (1974).
V. F. Pozhidaev and I. A. Savenko, “Modeling of coal-concentration processes using the random-wander equation,” Visn. Skhidnoukr. Derzh. Univ., 18, No. 3, 182–187 (1999).
V. K. Garus, O. V. Grachev, V. F. Pozhidaev, and A. D. Polkulyakh, Formalization of Results of Separation Processes in Coal Concentration [in Russian], VNU im. V. Dalya, Lugansk (2003).
O. N. Tikhonov, Automation of Production Processes at Concentrating Mills [in Russian], Nedra, Moscow (1985).
V. F. Pozhidaev, Applied Problems of Mathematical Statistics [in Russian], Izd. Vostochnoukr. Gos. Tekhn. Univ., Lugansk (1998).
Author information
Authors and Affiliations
Additional information
Translated from Khimicheskoe i Neftegazovoe Mashinostroenie, No. 8, pp. 9–12, August, 2009.
Rights and permissions
About this article
Cite this article
Pozhidaev, V.F., Rubinshtein, Y.B., Golberg, G.Y. et al. Mathematical modeling of mass transfer during centrifugal filtration of polydisperse suspensions. Chem Petrol Eng 45, 460 (2009). https://doi.org/10.1007/s10556-009-9210-3
Published:
DOI: https://doi.org/10.1007/s10556-009-9210-3