COMPUTER MODELING OF FLOW AND SEPARATION OF NON-NEWTONIAN TWO-PHASE MEDIA IN SEPARATORS WITH COMPLEX GEOMETRY INSERTS
Authors:
1.
Kazan State Agrarian University
(Physics and Mathematics, Professor)
2.
Kazan State University of Architecture and Engineering
Type:
Article
eLocation:
Status:
Published
Received:
04.08.2025
Accepted:
07.08.2025
Published:
07.08.2025
Language:
Russian
Keywords:
COMPUTER MODELING, NON-NEWTONIAN TWO-PHASE MEDIA, SEPARATION PROCESSES, SEPARATORS WITH INSERTS OF COMPLEX GEOMETRY
Abstract (English):
Computer modeling of the processes of flow and separation of two-phase non-Newtonian media in separators with inserts of complex geometric shape is considered. Curvilinear channels are used in centrifugal separators to identify the separation process. The basis for computer modeling is a mathematical model of the flow process of two-phase non-Newtonian systems in areas with curved walls. To build a mathematical model of the flow process of two-phase non-Newtonian media, the equations of conservation of mass and momentum of multiphase media mechanics are used, which are written in the orthogonal coordinate system associated with the flow area. The conservation equations are simplified taking into account the flow features close to one-dimensional, which are solved using a modified method of surfaces of equal flow rates. As a result, the flow velocity of the carrier phase in the quasi-homogeneous approximation is determined. Knowledge of the velocity field of the carrier phase allows us to calculate the trajectory of the dispersed medium, which is a determining factor for calculating the operation of separators and the process of separation of the initial mixture. To close the system of momentum conservation equations, the known formulas for the force of interphase interaction and the rheological law of state of a non-Newtonian two-phase medium were used. Numerical calculations were performed for separators with parabolic and canonical inserts taking into account the inlet section and the influence of the centrifugal force field. At the same time, the location and number of surfaces of equal flow rates are varied in a wide range of variation. The corresponding computational experiment was performed for different values of the parameters of the flow region, rheological law of state, and flow regimes of a two-phase non-Newtonian medium. As a result, it was found that the initial flow region undergoes a transformation of the velocity profile of the carrier phase from an initial flat to parabolic inlet. The constructed mathematical model describing the hydrodynamic situation in the flow area of a non-Newtonian medium allows us to carry out computer modeling to calculate the flow of a two-phase non-Newtonian medium in the working channel of a complex shape of a centrifugal separator. In this case, the specific shape of the flow region is specified by setting the appropriate Lyamé coefficients for the flow region. On the basis of computer modeling different flow regimes and the influence of different geometrical characteristics of the separator channel, mass forces, parameters of the Ostwald-de Wiel rheological law of the medium state on the hydrodynamic situation in the separator working channel and the process of mixture separation are studied. The results of computer modeling can serve as a basis for optimal hardware design of centrifugal separators.
Computer modeling of the processes of flow and separation of two-phase non-Newtonian media in separators with inserts of complex geometric shape is considered. Curvilinear channels are used in centrifugal separators to identify the separation process. The basis for computer modeling is a mathematical model of the flow process of two-phase non-Newtonian systems in areas with curved walls. To build a mathematical model of the flow process of two-phase non-Newtonian media, the equations of conservation of mass and momentum of multiphase media mechanics are used, which are written in the orthogonal coordinate system associated with the flow area. The conservation equations are simplified taking into account the flow features close to one-dimensional, which are solved using a modified method of surfaces of equal flow rates. As a result, the flow velocity of the carrier phase in the quasi-homogeneous approximation is determined. Knowledge of the velocity field of the carrier phase allows us to calculate the trajectory of the dispersed medium, which is a determining factor for calculating the operation of separators and the process of separation of the initial mixture. To close the system of momentum conservation equations, the known formulas for the force of interphase interaction and the rheological law of state of a non-Newtonian two-phase medium were used. Numerical calculations were performed for separators with parabolic and canonical inserts taking into account the inlet section and the influence of the centrifugal force field. At the same time, the location and number of surfaces of equal flow rates are varied in a wide range of variation. The corresponding computational experiment was performed for different values of the parameters of the flow region, rheological law of state, and flow regimes of a two-phase non-Newtonian medium. As a result, it was found that the initial flow region undergoes a transformation of the velocity profile of the carrier phase from an initial flat to parabolic inlet. The constructed mathematical model describing the hydrodynamic situation in the flow area of a non-Newtonian medium allows us to carry out computer modeling to calculate the flow of a two-phase non-Newtonian medium in the working channel of a complex shape of a centrifugal separator. In this case, the specific shape of the flow region is specified by setting the appropriate Lyamé coefficients for the flow region. On the basis of computer modeling different flow regimes and the influence of different geometrical characteristics of the separator channel, mass forces, parameters of the Ostwald-de Wiel rheological law of the medium state on the hydrodynamic situation in the separator working channel and the process of mixture separation are studied. The results of computer modeling can serve as a basis for optimal hardware design of centrifugal separators.
Keywords:
COMPUTER MODELING, NON-NEWTONIAN TWO-PHASE MEDIA, SEPARATION PROCESSES, SEPARATORS WITH INSERTS OF COMPLEX GEOMETRY
COMPUTER MODELING, NON-NEWTONIAN TWO-PHASE MEDIA, SEPARATION PROCESSES, SEPARATORS WITH INSERTS OF COMPLEX GEOMETRY
