Blyuss B.А., Lukianov P.V., Dziuba S.V. Vortex structure dynamics in the slurry enforced flowing at processing the mineral raw materials
- Details
- Parent Category: Geo-Technical Mechanics, 2018
- Category: Collection of scientific papers «Geotekhnicheskaya Mekhanika» Issue 141
Geoteh. meh. 2018, 141, 86-98
https://doi.org/10.15407/geotm2018.141.086
VORTEX STRUCTURE DYNAMICS IN THE SLURRYENFORCEDFLOWING AT PROCESSING THE MINERAL RAW MATERIALS
¹ BlyussB.А., ²LukianovP.V., ¹DziubaS.V.
¹Institute of Geotechnical Mechanics named by N. Polyakov of National Academy of Sciences of Ukraine, ²National Aviation University MES of Ukraine
UDC 532.527:622.648.24:622.7
Language: Ukrainian
Annotation.
The article presents results of analysis of the slurry flowing process when initial pulp is fed to the concentration equipment, namely, the jet dipping. The basis of the proposed mathematical model of flow in a condensing funnel in the general case at nonstationary mode of its operation is the equation of the law of mass and momentum conservation separately for the carrier fluid and for the solid component under assumption that the flow is one-dimensional. In this case, the condensing funnel geometric dimensions are considered to be given, and it is noted that if the pulp contains rather thin solids, then, at any given diameter of particles, they do not have time to disperse into the main stream and, therefore, they flow into discharge system. In the analysis of modes of condensing funnels operating in the mineral processing technologies, the authors draw their attention to the fact that slurry usually flows by gravity, but to the thickening funnel, it is fed by pumps, that is, here it is a process of the pulp pressure flowing. On the basis of the relation that binds velocity vectors and vorticity fields, general kinematic conditions are formulated for the dynamics of not-compressed viscous not-diffusive flow of slurry. Dynamic conditions of compactness are proposed, that is a balance of various forces and physical mechanisms. In the whole, model of compact structure of flow corresponds to those solutions of the force-balance equations, which are in harmony with kinematic conditions of compactness. Energy approach is proposed for compactness substantiation: dissipation power in the entire region of the liquid motion equals to generation power, and it makes possible to determine dimension of the region with stationary vortex flow. All vortex structures, in which distributions of velocity fields convert the diffusion operator into zero, feature the same property: moment of viscous-force pair applied to the inner and outer surfaces of elementary liquid ring cylinder, is equal to zero and, thus, provides stationary motion. The proposed in the article hydrodynamic model of condensing funnel operation is reduced to the solution of differential equation system for the depth of the funnel with taking into account results of simulation of processes of the vortex structure dynamics in the slurry pressure flows at processing of mineral raw materials and helps to validate rational values of technological and geometric parameters of process equipment operating in the industries.
Keywords:
slurry flow, non-stationary and stationary modes, dynamics, energy, vortex motion, mineral processing
Referenses
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About the authors
Blyuss Boryis Aleksandrovich, Doctor of Technical Sciences (D. Sc.) Professor, Head of Department of Geodynamic System and Vibration Tehnologies, M.S. Polyakov Institute of Geotechnical Mechanics National Academy of Sciences of Ukraine (IGTM, NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.
Lukianov Pavel Vladimirovich, Candidate of Physics and Mathematics Sciences (Ph.D..), Senior Researcher, Accosiate Professor in Hydro Gas Systems Depertment, of National Aviation University MES of Ukraine, Kyiv, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.
Dziuba Serhii Vladimirovich, Candidate of Technical Sciences (Ph.D), Senior Researcher in Department of Geodynamic System and Vibration Tehnologies, M.S. Polyakov Institute of Geotechnical Mechanics National Academy of Sciences of Ukraine (IGTM, NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.