ISSN (print) 1995-2732
ISSN (online) 2412-9003

 

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DOI: 10.18503/1995-2732-2024-22-4-50-59

Abstract

Physical and mathematical modeling of gravitational separation of suspensions is carried out, in which density of fine particles is more and less than density of continuous liquid phase. Formulas are analytically derived for calculating local degrees of purification of particles whose sizes are greater than or equal to the nominal equivalent diameter, that is, 100% captured. An example of calculation is given with determination of the dependence of the overall degree of purification and settling surface on the nominal equivalent diameter of nickeline particles and host rock in nickel ore. Particles whose equivalent diameter is greater than or equal to the nominal diameter obtained are completely captured. The distribution densities of nickeline particles and host rock in nickel ore and local fractional degrees of capture of these particles in the settling tank are shown with a total capture degree of 90%, while the nominal size of the settling nickeline particles is two times smaller than the nominal size of the floating particles of host rock in nickel ore. The obtained dependencies of the total degree of capture of nickel ore particles and the required surface of the settling tank on the nominal equivalent diameter of these particles showed that for floating particles the area of the settling tank should be an order of magnitude higher than the area of the settling tank for precipitating particles. The proposed calculation algorithm allows to select geometric parameters of the settling tank with the specified degree of particles capture and can be recommended for technological calculation of equipment at gravitational wet method of ore separation.

Keywords

probability of capture, density, viscosity, local and total degree of purification, nominal size, settling tank surface, nickel deposits, host rock

For citation

Golovanchikov A.B., Zalipaeva O.A., Prokhorenko N.A., Merentsov N.A. Probability of Combined Capture of Heavy and Light Particles in a Settling Tank. Vestnik Magnitogorskogo Gosudarstvennogo Tekhnicheskogo Universiteta im. G.I. Nosova [Vestnik of Nosov Magnitogorsk State Technical University]. 2024, vol. 22, no. 4, pp. 50-59. https://doi.org/10.18503/1995-2732-2024-22-4-50-59

Alexander B. Golovanchikov – DrSc (Eng.), Professor, Volgograd State Technical University, Volgograd, Russia. Email: This email address is being protected from spambots. You need JavaScript enabled to view it.. ORCID 0000-0002-4576-4229

Olga A. Zalipaeva – PhD (Eng.), Associate Professor, Volgograd State Technical University, Volgograd, Russia. Email: This email address is being protected from spambots. You need JavaScript enabled to view it.. ORCID 0000-0002-9345-2625

Natalia A. Prokhorenko – PhD (Eng.), Senior lecturer, Volgograd State Technical University, Volgograd, Russia. Email: This email address is being protected from spambots. You need JavaScript enabled to view it.. ORCID 0000-0002-5706-1475

Nikolay А. Merentsov – PhD (Eng.), Associate Professor, Volgograd State Technical University, Volgograd, Russia. Email: This email address is being protected from spambots. You need JavaScript enabled to view it.. ORCID 0000-0002-6579-2630

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