Mathematical modeling of processes of flat and axisymmetric non-isothermal flows and separation of non-Newtonian two-phase media in separators with curvilinear walls is considered. Algorithm of numerical calculation of geometric characteristics of axisymmetric curvilinear channel is given. Equations of conservation of mass, energy and pulses of two-phase medium, which are recorded in orthogonal coordinate system related to flow area, are solved by method of surfaces of equal flow rates. These equations are simplified taking into account the peculiarities of the flow and the geometry of the flow region for an arbitrary coordinate system, which are further refined taking into account the Lyame coefficients for a specific region. As a result, the velocity field for the carrier phase is determined. Further, using the equations of motion of the dispersed phase, particle velocities are calculated taking into account the corresponding interphase interaction forces for the non-Newtonian two-phase medium. Trajectories of particles movement in inter-tray space of separator are calculated, which make it possible to establish hydrodynamic situation in gap of separator trays depending on its operation modes. To this end, an algorithm for calculating deposition of dispersed particles is constructed taking into account the variability of the length of the deposition path and the direction of action of centrifugal force relative the walls of the curved channel. Numerical calculations were carried out taking into account the change in the effective viscosity of the medium from temperature, the presence of hydrodynamic and thermal initial sections of non-isothermal flow at various properties of the medium and particles. A computational experiment was conducted to study various modes of non-isothermal flow and the process of separation of the two-phase medium, which makes it possible to determine the effective operating modes of the separator.
MATHEMATICAL MODELING, SEPARATORS WITH CURVILINEAR INSERTS, NON-ISOTHERMAL TWO-PHASE FLOWS, METHOD OF SURFACES OF EQUAL FLOW RATES, TRAJECTORY OF DISPERSED PARTICLES, NON-NEWTONIAN MEDIA, COMPUTATIONAL EXPERIMENT
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