Abstract
It is shown that, when calculating the trajectories of the motion of polydisperse solid particles in two-phase flows, it is necessary to take into account the time of their dynamic relaxation. A universal dependence of the relaxation time for the particle-deposition rate on its size and density, as well as on the parameters of the dispersion medium, is obtained. An analysis of the relative errors in the approximation of tabular data of the Rayleigh curve by the Adamov and Rosenbaum–Todes formulas, which showed an average approximation deviation of 7–9%, is carried out. New formulas are proposed with optimized empirical coefficients, showing an average relative error of less than 1%. The influence of the velocity of the vertical flow of the medium on the time of dynamic relaxation of solid particles is analyzed. It is noted that, for particles moving in velocity regions close to the speed of their movement, their relaxation time tends to zero. It is proposed for a moving dispersed flow to construct a generalized graph of relative time versus relative speed and, from it, find the time of dynamic relaxation of particles.
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