For a moving two-phase stream, the effect of forces of pressure, weight, Archimedes, Magnus, Saffman, termoforez and hydrodynamic resistance and also shock interaction of solid particles between themselves and tightness of the liquid flow in the inter-particle space on solid particles was considered. Distribution of volume concentration of solid particles was determined by the process of their diffusion and speed of the moving particles in transversal streamline under the action of the above forces. The coefficients of diffusion of solid particles in the liquid were determined as the product of the known diffusion coefficient of the liquid and the ratio of the average square of pulsation speed of solid particle to the average square of pulsation speed of the liquid. The pulsation vibrations of liquid were represented as sine-wave vibrations. In the analysis of the motion of a two- phase flow in vertical pipes it was assumed that the flow possesses axial symmetry. In the analysis of the flow in the horizontal pipes, it was assumed that the flow possesses symmetry in the vertical diametrical plane and the size of volume concentration of solid particles is constant in a horizontal section. The flow in a round horizontal pipe is represented as a superposition of layers of flat flows in the vertical plane in the analysis of distribution of the particles of hard phase on the vertical diametrical section of the pipe or as a superposition of the layers of flat flows in the horizontal plane in the calculation of the volume consumption of the liquid and solid phases. In the frame of Prandtl model, an expression is presented for a tangent friction in a two-phase flow as a sum of forces of friction arising in a moving liquid, and forces of friction which arise in a moving of solid particles inside the liquid.
|
