摘要 : Some of the problems of the dynamics of the concentration of inertial particles in intense vortex flows have been analyzed analytically. Unlike previous works, the nonlinear nature of the hydrodynamic resistance is taken into acco... 展开 Some of the problems of the dynamics of the concentration of inertial particles in intense vortex flows have been analyzed analytically. Unlike previous works, the nonlinear nature of the hydrodynamic resistance is taken into account, that is, the dependence of the drag coefficient on the modulus of the velocity of the particle relative to the medium. Different components of the particle motion interact with each other, since the Reynolds number and the drag coefficient depend on each of the components. The considered model is applicable up to Reynolds numbers for particles on the order of 10~3. The found analytical solutions demonstrate the significant role of nonlinear effects, since the effective drag coefficients differ from the previously studied case of Stokes particles by at least tens of times. 收起