Chemical and Petroleum Engineering, Vol. 54, Nos. 1–2, May, 2018 (Russian Original Nos. 1–2, Jan.–Feb., 2018)
Volgograd State Technical University, Volgograd, Russia; e-mail: firstname.lastname@example.org. Translated from Khimicheskoe i Neftegazovoe Mashino-
stroenie, No. 2, pp. 34–38, February, 2018.
MODELING THE PROCESS OF SEPARATION
OF NON-HOMOGENEOUS LIQUID DISPERSE
SYSTEMS IN A HYDROCYCLONE ACCOUNTING
FOR SIMILARITY CRITERIA
A. B. Golovanchikov, A. E. Novikov, UDC 66.066
M. I. Lamskova, and M. I. Filimonov
The problem of modeling the process of separation of suspensions and emulsions in a centrifugal ﬁ eld
under the condition of geometric and hydrodynamic similarity of the parameters of hydrocyclones installed
in a battery is considered. An example of the calculation of the necessary number of hydrocyclones providing
the required degree of puriﬁ cation is given.
Keywords: geometric similarity, hydrodynamic similarity, hydrocyclone, battery of hydrocyclones, separation
factor, local degree of particle capture.
Hydrocycloning, as well as the separation of dusts in cyclones, is used in the chemical industry due to a signiﬁ cant
advantage over sedimentation and precipitation processes occurring in the ﬁ eld of gravity. This advantage is increased rate of
deposition in a centrifugal ﬁ eld, permitting to decrease the production area dozens of times [1–5].
Theoretical aspects of physical modeling of aerodynamic processes in cyclones have been studied to a much greater
extent than hydromechanical processes in hydrocyclones. In particular, in cyclones for installation in a battery, the State
Research Institute of Industrial and Sanitary Gas Cleaning (NIIOGAZ) solved the problem of geometric similarity of all sizes:
their size, referring to the diameter of the cylindrical part, should be constant . With this geometric similarity, the diameter
of the cylindrical body depends on the number of cyclones in the battery:
where D and D
represent the internal diameter of the body of one device and each of m devices in the battery, m; m is the
number of devices in the battery.
The advantage of this method for calculating the diameter of the cylindrical body is the preliminary determination of
the ﬁ ctitious mean velocity of the axial ﬂ ow of gas in the cylindrical part of the cyclone as in a pipe with known hydraulic
resistance, gas density (air), and the resistance coefﬁ cient ξ of the cyclone type being calculated (Δp/ρ and ξ are the recom-
mended parameters for the corresponding type of cyclone):
This value is constant and does not depend on the diameter of the cyclones. Then the diameter of each cyclone in the
battery is calculated from the equation of continuity:
0009-2355/18/0102-0118 ©2018 Springer Science+Business Media, LLC