Массоперенос в вертикальном цилиндрическом инертном зернистом слое при аксиальном вводе потока

Abstract

Based on pseudodiffusion model with orthotropic tensor of the dispersion of the tools analyze the impact of heterogeneity of the mass flow of the substance entering the working area of the device with stationary cylindrical granular inert layer of non-stationary boundary value problems for linear differential equations in private derivatives of parabolic type with initial conditions corresponding to the device, leveling heterogeneity. The analytical solution of the formulated problem is obtained by successive application of the semi-bounded integral Laplace transform and the finite integral Hankel transform, are verified the structures of functions describing the input flow as a result of using equalizing systems (distribution grids and scattering disks). Computational experiments allowed us to quantitatively describe the picture of heterogeneity of concentration fields depending on the values of the flow dispersion coefficients and the type of device that equalizes the input flow. It is shown that without equalizing elements, the input stream creates a significant heterogeneity of the concentration field in the apparatus, and the disk has the highest efficiency in this aspect compared to the lattice due to the formation of a more "smooth" input concentration profile. A specific example of evaluating the heterogeneity of concentration fields in the complex cleaning unit of an air separation unit showed the effectiveness of the proposed approach.