Semenenko Ye.V., Tepla T.D., Medianyk V.YU., Skosyrev V.H., Babets D.V. Determination of the non-deformable core radius of flow in structured suspension pipeline using the theory of stability of lyophobic colloids

Geoteh. meh. 2023, 165, 84-96

https://doi.org/10.15407/geotm2023.165.084

 

DETERMINATION OF THE NON-DEFORMABLE CORE RADIUS OF FLOW IN STRUCTURED SUSPENSION PIPELINE USING THE THEORY OF STABILITY OF LYOPHOBIC COLLOIDS

1Semenenko Ye.V.,  1Tepla T.D,  2Medianyk V.Yu., 3Skosyrev V.H., 2Babets D.V.

1M.S. Poliakov Institute of Geotechnical Mechanicsof the National Academy of Sciences of Ukraine, 2Dnipro University of Technology, 3Pryazovskyi State Technical University

 UDC 532.584:532.32:550.385.37   

Language: English

Abstract. The objective of this research is to study the influence of ion-electrostatic and Van der Waals forces on the radius of the non-deformable core in the flow of structured suspensions with an inhomogeneous solid phase inside a pipeline. The study considers parameters such as the solid and liquid phase properties, the average flow velocity of the suspension, and its rheological properties. The article analyzes the results of dynamic sedimentation stability studies of structured suspensions, where the solid phase consists of particles of different sizes and densities, flowing in rod flow mode through the pipeline based on the stability theory of lyophobic colloids by Derjaguin – Landau – Verwey – Overbeek.
It is demonstrated that there is a boundary dividing the cross-section of the flow into two parts. In the central part of the flow, inside this boundary, pairwise coagulation bonds between adjacent particles remain intact, and the suspension structure remains undisturbed. This part is suggested to be considered as the non-deformable core of the flow in the rod regime of the suspension with pseudoplastic properties. Outside this boundary, the pairwise coagulation bonds between adjacent particles are disrupted, creating conditions for shear flow in this part of the cross-section of the pipeline. Unlike conventional methods for calculating the non-deformable core of structured suspensions, the proposed method does not take into account the acting pressure drop but considers the influence of the average flow velocity of the suspension, as well as the impact of not only the initial shear stress but also the effective viscosity of the suspension, the viscosity and density of its liquid phase, the concentration, density, and size of the solid phase, as well as the ion-electrostatic and Van der Waals forces.
It is established that the dimensionless radius of the non-deformable core of structured suspensions has a maximum possible value, which depends solely on the parameters of the ion-electrostatic and Van der Waals forces and the rheological characteristics of the structured suspensions, and is independent of the average flow velocity.
Keywords: non-deformable core of flow, rheological characteristics, structured suspension, lyophobic colloids, pipeline.

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About the authors:

Semenenko Yevhen Volodymyrovych, Doctor of Technical Sciences (D.Sc.), Senior Researcher, Head of Department of Mine Energy Complexes, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Science of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

Tepla Tetyana Dmytrivna, Doctoral Student, Senior Engineer in Department of Mine Energy Complexes, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Science of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

Medianyk Volodymyr Yuriiovych, Candidate of Technical Sciences (Ph.D.), Associate Professor, Associate Professor in
Department of Mining Engineering and Education, Dnipro University of Technology (NTU "DP"), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

Skosyrev Viktor Heorhiiovych, Candidate of Technical Sciences (Ph.D.), Associate Professor in Department of Electrification of Industrial Enterprises, Priazovsky State Technical University under the Ministry of Education and Science of Ukraine, Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

Babets Dmytro Volodymyrovych, Doctor of Technical Sciences (D.Sc.), Associate Professor, Professor in Department of Applied Mathematics, Dnipro University of Technology (NTU "DP"), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .