METHOD OF HYDRAULIC SLOPE CALCULATION FOR STREAM OF PULP WITH PASTE CONCENTRATION

UDC 622.648.01 – 9:621.643.29

Semenenko E.V., D. Sc. (Tech.), Senior Researcher (IGTM NAS of Ukraine)

Kirichko S.N. (IGTM NAS of Ukraine)

Annotation. The paper is devoted to study of behaviour of complete Buckingham equation solution with different intervals of values and to determination of its adequate approximation to values of projecting and checking calculations of hydrotransport complexes which transport pulps with paste concentration (or paste-type pulps). Purpose of this paper is to validate scientific basis for projecting and checking calculations of hydrotransport complexes transporting pulps with paste concentration with taking into account peculiarities of behaviour of complete Buckingham equation solution with different intervals of values. Basing on dimension theory methods, fundamental theorems of algebra, Cardano solution and behaviour of cubic and quartic roots of polynomials an analytical solution of complete Buckingham equation in universal dimensionless values was received. This solution takes into account properties of the suspension and characteristics of the pulp stream and pipeline. Peculiarities of the solution behaviour are investigated in different intervals of values. The findings allowed to specify the most probable range of varied parameter for calculation of dis-charge-head values for hydrotransport systems and to explain linear dependence between operation-al pressure difference, initial tangential stress and suspension volumetric discharge with coefficients, which don’t depend on solid phase properties, or pipeline diameter, or pipeline material. An evaluation of intervals of dimensionless suspension discharge is offered; in these intervals, contribution of paste-type pulp viscosity or initial tangential stress into hydraulic slope value is predominant. The obtained results allow to scientifically specify hydraulic slope value depending on discharge of paste-type pulp, initial tangential stress, suspension viscosity and pipeline diameter and to make proper projecting and checking calculations for the hydrotransport complexes which transport pulps with paste concentration.

Keywords: hydrotransport, pulp with paste concentration, initial shear stress, hydraulic gradient, Buckingham equation.

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About the authors:

Semenenko Eugeniy Vladimirovich, Doctor of Technical Sciences (D.Sc), Senior Researcher, Senior Researcher at the Institute of Geotechnical Mechanics, M.S. Polyakov Institute of Geotechnical Mechanics under the National Academy of Sciences of Ukraine (IGTM, NASU), Dnepropetrovsk, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

Kirichko Sergey Nikolayevich, Post-Graduate Student at the Institute of Geotechnical Mechanics, M.S. Polyakov Institute of Geotechnical Mechanics under the National Academy of Sciences of Ukraine (IGTM, NASU), Dnepropetrovsk, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

 

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