Mathematical model of operative estimation of viscosity of a pulp in a ball mill at grinding an ore https://doi.org/10.33108/visnyk_tntu2018.03.115

Main Article Content

Anatolii Matsui
Vasyl Kondratets

Abstract

Of the known mathematical models for determining the viscosity of dispersion media, the most reasonable is the mathematical model of G.S. Khodakov, but it is not suitable for the operative calculation of the parameter and for controlling the process. The proposed basic mathematical model reduces to establishing the distance between particles of solid particles with respect to its density, size and pulp density, suitable for rapid estimation of the parameter. The basic mathematical model on the basis of the found value of the distance between solid particles and its parameters allows us to quickly estimate the viscosity of the pulp. The approach of determining the model parameters is substantiated

Article Details

Section

Articles

References

1. Gatchek E'. Vyazkost' zhidkostej, Moskva-Leningrad, Gostexizdat, 1934, 312 p. [In Russian].

2. E'jrix F. Reologiya: teoriya i prilozheniya, Moskva, Izdatel'stvo inostrannoj literatury, 1962, 824 p. [In Russian].

3. Rejner M. Reologiya, Moskva, Nauka, 1965, 223 p. [In Russian].

4. Frankel N.A., Acrivos A. On the Viscosity of a Concentrated Suspension of Solid Spheres (review), Chem. Eng. Sc, Vol. 22, No. 6, 1967, pp. 847 – 853.

https://doi.org/10.1016/0009-2509(67)80149-0

5. Fort'e A. Mexanika suspenzij, Moskva, Mir, 1971, 264 p. [In Russian].

6. Mewis J. Rheology of Suspensions (review), Proc. 8 Con. on Rh., Vol. 1, 1980, pp. 149 – 168.

7. Graham A.L. On the viscosity of suspensions of solid spheres (review), App. Sc. Res., Vol. 37, 1981, pp. 275 – 286.

https://doi.org/10.1007/BF00951252

8. Russel W.B. Theoretical approaches to the rheology of concentrated dispersions (review), Pow. Tech., Vol. 55, No. 1, 1987, pp. 15 – 25.

https://doi.org/10.1016/0032-5910(87)80036-0

9. Ur'ev N.B. Fiziko-ximicheskie osnovy texnologii dispersnyx sistem i materialov, Moskva, Ximiya, 1988, 255 p. [In Russian].

10. Patel P.D., Russel W.B. Mean field theory for the rheology of phase separated of flocculated dispersions (review), Coll. and Surf., No. 31, 1988, pp. 355 – 383.

11. Laskowski J.S. Coal flotation and fine coal utilization (review), Els. Sc., 2001, 384 p.

12. Xodakov G.S. Reologiya suspenzij. Teoriya fazovogo techeniya i ee e'ksperimental'noe obosnovanie, Rossijskij ximicheskij zhurnal, No. 2, 2003, pp. 33 – 44 [In Russian].

13. Kravcova O.S., Kanygina O.N. Razvitie reologicheskoj modeli dlya sistemy “voda-kaolinit soderzhashhaya glina”, Vestnik Orenburgskogo gosudarstvennogo universiteta, Vol. 176, No. 1, 2015, pp. 116 – 119 [In Russian].

14. Matsui A.M., Kondratets V.O. Modeliuvannia pidkhodiv podribnennia riznotypiv rud konkretnoho rodovyshcha u kulovykh mlynakh zamknutoho tsyklu, Matematychne modeliuvannia, Vol. 37, No. 2, 2015, pp. 43 – 49 [In Ukrainian].

15. Andreev S.E., Perov V.A., Zverevich V.V. Droblenie, izmel'chenie i groxochenie poleznyx iskopaemyx, Мoskva, Nedra, 1980, 415 p. [In Russian].