Deterministic Approach to Analysis of the Separating Capacity of a Cylindrical-Conical Hydrocyclone

Łagutkin, M. G.; Баранов, Д. А.; Bulychev, S. Yu.; Baranova, E. Yu.

doi:10.1023/b:cape.0000039665.40963.4c

Chemical and Petroleum Engineering

2004

DOI: 10.1023/b:cape.0000039665.40963.4c

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Deterministic Approach to Analysis of the Separating Capacity of a Cylindrical-Conical Hydrocyclone

M. G. Łagutkin

Д. А. Баранов

S. Yu. Bulychev

et al.

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Cited by 4 publications

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“…1) assumes the form (1) where m is the mass of a solid-phase particle of the fineness class under consideration, r is the current radius of the centrifuge rotor, v ϕr is the tangential component of particle velocity, ρ m is the density of the dispersion medium, ρ p is the density of the disperse phase, and β is the particle drag. According to Lagutkin et al [3], the drag for fine particles can be determined from Stokes' law:…”

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Deterministic Approach to Analysis of the Separating Capacity of a Sedimentation Scroll Centrifuge

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“…Let us assume that over a radius r, the particle velocity in the circumferential direction relative to the flow v rel will be constant, and the Coriolis force will then be equal to the drag force F d , which in first approximation, may be determined from Stokes' law [3]:…”

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Deterministic Approach to Analysis of the Separating Capacity of a Sedimentation Scroll Centrifuge

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Effect of Structural Parameters of a Cylindrical-Conical Hydrocyclone on the Separation Index of Suspensions with a Non-Newtonian Dispersion Medium

Yablonskii

2005

Chem Petrol Eng

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A mathematical model that accounts for the effect of the Coriolis force on solid-phase particles is developed. The system of differential equations in partial derivatives, which describes the separation process, is reduced to a system of ordinary differential equations and is solved by a numerical method. It is established that an increase in the non-Newtonian properties of a dispersion medium will lead to an increase in the degree of thickening.The majority of procedures developed for analysis of separation in cylindrical-conical hydrocyclones [1-6] are based on the equation of the one-dimensional motion of a small solid spherical particle suspended in a viscous and incompressible turbulent flow.In many cases, suspensions separated in the chemical industry are non-Newtonian media, the effective viscosity of which decreases with increasing intensity of the rate at which they deform; this will exert an influence on the hydrodynamics of the vessels and the selection of their structural parameters corresponding to the optimal separation index. Romankov [7] and Vainshtein [8] have established that the rheologic equation of state of a non-Newtonian fluid is applicable to multiphase heterogeneous systems (in view of the Ostwald de Waele law). The author of this paper conducted a numerical investigation of the film flow of a non-Newtonian fluid in a cylindrical-conical hydrocyclone [9], which was based on solution of the complete equations of rheodynamics, and developed a procedure for analyzing the suspension of separations by pressurized flotation in a cylindrical hydrocyclone [10]; a procedure for analyzing the separation of suspensions with a non-Newtonian disperse medium by deposition in a cylindrical-conical hydrocyclone with a freely forming surface of liquid-phase, which is based on solution of the complete system of rheodynamics equations, however, is of considerable theoretical and applied interest.The hydrocyclone consists of a cylindrical chamber (into the upper part of which the suspension to be separated is delivered tangentially via an inlet pipe) and conical section. The height of the cylindrical chamber of the hydrocyclone is equal to its diameter. The suspension that has been delivered flows, by revolving, along the walls of the hydrocyclone downward at a velocity having radial v r , circumferential v ϕ , and axial v z components. Particles of solid phase are driven under centrifugal force back toward the wall of the vessel's housing, and are then removed via the discharge device of a lower overflow, through which the clarified suspension flows. The separation efficiency in the hydrocyclone is determined by the hydro-

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Use of regression equations to calculate suspension-separation indicators in hydrocyclones

Yablonskii

2008

Chem Petrol Eng

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Deterministic Approach to Analysis of the Separating Capacity of a Cylindrical-Conical Hydrocyclone

Cited by 4 publications

References 0 publications

Deterministic Approach to Analysis of the Separating Capacity of a Sedimentation Scroll Centrifuge

Deterministic Approach to Analysis of the Separating Capacity of a Sedimentation Scroll Centrifuge

Effect of Structural Parameters of a Cylindrical-Conical Hydrocyclone on the Separation Index of Suspensions with a Non-Newtonian Dispersion Medium

Use of regression equations to calculate suspension-separation indicators in hydrocyclones

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