Chinakal Institute of Mining of the Siberian Branch of the RAS (Russia):

Kondratyev S. А., Doctor of Engineering Sciences, Head of Laboratory, kondr@misd.nsc.ru

Mekhanobr-Orgsintez-Reagent Ltd. (Russia):

Ryaboy V. I., Doctor of Engineering Sciences, Professor, General Director, frim@isc1.nw.ru

A collecting ability of desorbed form (DS-form) of a number of higher dialkyldithiophosphates has been considered. The task of liquid removal from interlayer between bubble and mineral particle is solved numerically. It is shown, that main force, acting on liquid in interlayer, is conditioned by variations in surface tension, brought about at the moment of local rupture, and by surface pressure of molecules in film. Flotation reagent DS-form collecting ability is determined as a measure of its effect upon volume of liquid in interlayer. A comparative analysis of dialkyldithiophosphates collecting ability and dynamic surface activity values sequences of variations has been performed. A correlational relationship between the above mentioned values has been established. A relationship between volumetric rate of flow of liquid, flowing from interlayer, and interfacial tension of reagent forms, active on «gas-liquid» interface, is presented. A method of reagent collecting ability estimation by magnitude of force, acting from the side of reagent DS-form film upon liquid in interlayer, is proposed. Kinetics of the elementary act of flotation, determining selectivity of valuable component recovery, are established.

The studies were performed with the aid of the Russian Foundation for Basic Research Grant No. 13-05-00384.

1. Wark E., Wark I. Influence of micelle formation on flotation. Nature, 1939, Vol. 143, p. 856.
2. Klassen V. I., Tikhonov S. A. Sodium oleate action on flotation properties of air bubbles surface. Tsvetnye Metally = Non-ferrous Metals, 1960, No. 10, pp. 4–8.
3. Bleier A., Goddard E. D., Kulkarni R. D. Adsorption and critical flotation conditions. Journal of Colloid and Interface Science, 1977, Vol. 59, No. 3, pp. 490–504.
4. Finch J. A., Smith G. W. Dynamic surface tension of alkaline dodecylamine solutions. Journal of Colloid and Interface Science, 1973, Vol. 45, No. 1, pp. 81–91.
5. Zhivankov G. V., Ryaboy V. I. Collective properties and surface activity of higher aeroflots. Obogashchenie Rud, 1985, No. 3, pp. 13–16.

6. Kondratyev S. А Estimation of reagents-collectors flotation activity. Obogashchenie Rud, 2010, No. 4, pp. 24–30.
7. Kondrat'ev S. A. Activity and selectivity of carboxylic acids as flotation agents. Fiziko-tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh = Journal of Mining Science, 2012, Vol. 48, No. 6, pp. 1039–1046.
8. Kondrat'ev S. A., Moshkin N. P. Estimate of collecting force of flotation agent. Fiziko-tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh = Journal of Mining Sciences, 2015, No. 1, pp. 137–144.
9. Levich V. G. Physicochemical Hydrodynamics. Prentice-Hall, Englewood Cliffs, NJ, 1962.
10. Loytsyanskiy L. G. Mekhanika zhidkosti i gaza (Fluid Mechanics). Moscow, Nauka, 1987, 840 p.
11. Pukhnachev V. V. Equilibrium of a free nonisothermal liquid film. Journal of Applied Mechanics and Technical Physics, 2007, Vol. 48, No. 3, pp. 310–321.
12. Borgas M., Grotberg J. B. Monolayer flow on a thin film. Journal of Fluid Mechanics, 1988, Vol. 193, pp. 151–170.
13. Gaver D. P., Grotberg J. The dynamics of a localized surfactant on a thin film. Journal of Fluid Mechanics, 1990, Vol. 213, pp. 127–148.
14. Peterson E. R., Shearer M. Radial spreading of surfactant on a thin liquid film. Applied Mathematics Research eXpress, 2011, Iss. 1, pp. 1–22. Published online September 2010. DOI: http://dx.doi.org/10.1093/amrx/abq015.
15. Jensen O. E., Grotberg J. B. The spreading of heat or soluble surfactant along a thin liquid film. Physics of Fluids, 1992, No. 5 (1), pp. 58–68.
16. Levy R., Shearer M., Witelski T. P. Gravity-driven thin liquid films with insoluble surfactant: Smooth traveling waves. European Journal of Applied Mathematics, 2007, Vol. 18, Iss. 6, pp. 679–708.
17. Zhivankov G. V. Izyskaniye i primeneniye effektivnykh reagentov dlya povysheniya izvlecheniya almazov pri pennoy separatsii kimberlitovykh rud. Dissertatsiya na soiskaniye uchenoy stepeni kandidata tekhnicheskikh nauk (Research and application of effective agents for increasing of diamonds extraction in kimberlite ores foam separation. Ph. D. thesis in Engineering Sciences). Leningrad–Mirny, 1986, p. 158.
18. Ignatkina V. A., D'yachkov F. G., Bocharov V. A. Collecting properties of diisobutyl dithiophosphinate in sulfide minerals flotation from sulfide ore. Fiziko-tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh = Journal of Mining Science, 2013, Vol. 49, No. 5, pp. 795–802.
19. Karimian A., Rezaei B., Masoumi A. The effect of mixed collectors in the rougher flotation of sungun copper. Life Science Journal, 2013, No. 10, pp. 268–272.