Bryansk State Technological Academy of Engineering (Russia):

Kapustin R. P., Associate Professor, Ph. D. in Technical Sciences, k-rodion37@mail.ru

A theoretical analysis of liquid motion in cylindrical hydrocyclone with axial discharge of product is performed, assuming that liquid flow is axisymmetric, steady-state, liquid is nonviscous, incompressible. Radial and axial velocities of liquid are determined by means of Navier—Stokes system continuity equation, solved with the help of Stokes flow function, obtained by solution of the task of liquid axisymmetric flow on inside surface of closed cylinder in absence and presence of confined axial space (air column). As a result, the expressions have been obtained for radial and axial velocities of liquid, defining all geometrical and operating parameters of hydrocyclone. A starting design parameter is flow rate through hydrocyclone, while in conventional practice, the starting design parameter is pressure at hydrocyclone inlet. Design charts of the mentioned velocities are presented. As a result, the following has been established. Radial velocities of liquid increase from zero near hydrocyclone wall, reaching maximum values with radius decrease at approximately zero axial velocity, then gradually decrease to zero at hydrocyclone axis or at boundary with air column, if air column is present. In the interval from axis to air column boundary radial velocities take opposite sign. Character of axial velocities variation is the same as in cylinder-conic hydrocyclone. If air column is present, maximum values of radial and axial velocities increase with hydrocyclone parameters being constant.

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