MATHEMATICAL MODEL FALL MATERIAL PARTICLES IN A VORTEX APPARATUS

Abstract

The results of test calculations obtained on the basis of mathematical models of the motion of material particles and gas dynamics of the coolant flow in a vortex apparatus during heat treatment are given in the article. The task of this paper is to determine the dependencies between the flow velocity, the place where the particle is introduced into the apparatus, and the specific trajectory of the particle.The efficiency of heat and mass transfer during the drying of porous materials in vortex devices is largely determined by the ratio of the geometric dimensions of the device, since the hydrodynamic performance of the apparatus depends on them. The drying of materials in the vortex apparatus occurs during the period of the dispersion of particulate material in the apparatus during their interaction with air currents. Obviously, the longer this process, the more effective it is.Analyzing the obtained results of the work, the author concludes that the duration of heat treatment of the particles of the material up to the moment of its completion may be different and depends, in the main, on the intensity of washing of the particle with the flow of the coolant. In general, the calculated information obtained can be the basis for designing and optimizing the design of the device in terms of reducing energy costs. The shape of the trajectory, its extent determine the overall dimensions of the device and the flow characteristics of the coolant. Depending on the required intensity of heat treatment, the location of the particles entering and the velocity of the coolant can vary.Analysis of the results of the calculations given in the paper allows us to make a qualitative conclusion that, in general, the particles that get into the vortex apparatus closer to the side wall last longer in its volume, and, consequently, are longer dried, which is more prefe-rable from a technological point of view.The data obtained can be used in the calculation of heat-mass-exchange vortex devices.