| Abstrakt: |
A mathematical model of the flow of a two-phase medium, whose state is defined by the nonlinear rheological equation, in a curvilinear channel of parabolic shape has been constructed. Numerical calculations of the flow of such a medium in this channel were performed with regard for the existence of its initial region and a centrifugal force in the channel. A computational experiment has been conducted, and, on its basis, different regimes of flow of a liquid in the indicated channel were investigated depending on the rheological properties of the liquid, governed by the Ostwald–de Waele law of state, and on the hydrodynamic situation in this channel. The numerical calculations have shown that, in the process of development of a liquid flow in the channel, in its initial region, the plane velocity profile of the flow is transformed into the parabolic one. In this case, the flow near the wall of the channel is decelerated, and the flow in the central region of the channel is, vice versa, accelerated. Because of this, in the initial region of the flow, its lines and the velocity fields on them have bends. The nonlinearity coefficient of a liquid substantially influences the shape of the velocity profile of its flow. In the case of rotation of the channel around its symmetry axis, the velocity profile of the liquid flow in it becomes asymmetrical. [ABSTRACT FROM AUTHOR] |
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