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

 

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DOI: 10.18503/1995-2732-2024-22-2-49-57

Abstract

Problem Statement (Relevance). The research is aimed at providing rationale for the relationship between limit thickness of a wetting film and slip of liquid and developing an expression to correct for the thermal slip of liquid on a hydrophobic surface to force of hydrodynamic resistance to thinning of the wetting film. Objectives. Obtaining new knowledge in the field of stability of wetting films complicated by taking into account the slip of liquid aims at developing an efficient technology for the extraction of gold microdispersions by flotation. Methods Applied. The expression for the correction to force of hydrodynamic resistance to thinning of wetting films is obtained by solving simultaneous equations, namely the Navier-Stokes equation, written for the conditions under study, and the continuity equation for incompressible liquid. In-situ flotation experiments were performed on ore samples from two sections of the Bereznyakovskoe gold deposit. The experiments on flotation were carried out on a laboratory unit based on a column-type flotation machine of a square cross-section, 47x47 mm. Originality. It has been revealed that the influence of slip of liquid on reduction of limit thickness of the wetting film consists in reduced force of hydrodynamic resistance to liquid removal from the interfacial gap by thermocapillary, thermoosmotic and capillary concentration surface flows. Result. The authors obtained an expression for the correction for slip to hydrodynamic resistance force in the process of the interaction between a particle and a bubble. In order to use the effect of sliding, flotation is performed by thermally loaded bubbles, mixing air entering the flotation machine with hot water vapor. In this case, water temperature in the boundary layers of bubbles increases due to steam condensation heat, which intensifies the slip effect. Practical Relevance. Field tests of the developed technology were conducted on two samples of gold-bearing ore, and their results prove its efficiency.

Keywords

flotation, interfacial film, slip, correction, hydrodynamic resistance force, steam-air mixture, gold-bearing ore, full-scale experiments

For citation

Evdokimov S.I., Gerasimenko T.E., Gorlova O.E., Orekhova N.N. Providing a Rationale for the Relationship Between Limit Interfacial Film Thickness and Slip of Liquid. Vestnik Magnitogorskogo Gosudarstvennogo Tekhnicheskogo Universiteta im. G.I. Nosova [Vestnik of Nosov Magnitogorsk State Technical University]. 2024, vol. 22, no. 2, pp. 49-57. https://doi.org/10.18503/1995-2732-2024-22-2-49-57

Sergey I. Evdokimov – PhD (Eng.), Lead Researcher, North Caucasian Institute of Mining and Metallurgy (State Technological University), Vladikavkaz, Russia. Email: This email address is being protected from spambots. You need JavaScript enabled to view it.. ORCID 0000-0002-2960-4786

Tatiana E. Gerasimenko – PhD (Eng.), Lead Researcher, North Caucasian Institute of Mining and Metallurgy (State Technological University), Vladikavkaz, Russia. Email: This email address is being protected from spambots. You need JavaScript enabled to view it.. ORCID 0000-0001-7048-4379

Olga E. Gorlova – DrSc (Eng.), Associate Professor, Professor of the Department of Geology, Surveying and Mineral Processing, Nosov Magnitogorsk State Technical University, Magnitogorsk, Russia. Email: This email address is being protected from spambots. You need JavaScript enabled to view it..

Natalia N. Orekhova – DrSc (Eng.), Associate Professor, Lead Researcher, Melnikov Institute of Comprehensive Subsoil Development, the Russian Academy of Sciences, Moscow, Russia. Email: This email address is being protected from spambots. You need JavaScript enabled to view it..

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