Mathematical Model of Hydrovortex Hetero-Coagulation

Abstract

AbstractThe dynamics of improvement of equipment and technology of dust suppression in the mining and metallurgical complex of Russia shows their insufficient efficiency of providing sanitary conditions, and most importantly the localization of explosions of dust mixtures. Further increase of efficiency of coal mining and mineral processing is significantly limited by the imperfection of technology of localization and elimination of coal dust explosions. On the basis of the theory of attached vortices the method of high-pressure hydro-vortex dust separation is developed. The mathematical model of the hydro-vortex inertial, kinematic heterocoagulation, significantly increasing the energy efficiency of dust suppression, is proposed. The graphical model of interaction in the contact zone at the moment of collision in the system “liquid-solid” is refined; the equations of the Stokes and Reynolds criteria for hydro-vortex inertial orthokinetic heterocoagulation are obtained. An equation for calculating the value of the reduction of the required energy of the total absorption of dust particles in the function of the liquid droplets circulation is obtained. The equations for the calculation of the effective contact angle and the minimum diameter of the absorbed dust particles in the function of the liquid droplets spin rate are obtained. It is shown that the hydro-vortex coagulation significantly reduces the size of the dispersed dust composition, water consumption, increasing the efficiency of dust suppression. A significant reduction in the size of the dispersed dust composition increases the efficiency of the system of localization of coal dust explosions, reduces the morbidity of silicosis. The use of patent-protected swirl injectors has confirmed the reduction of the minimum size of the absorbed dust by four times, increasing the efficiency of dust collection up to 99% while reducing the water consumption at 20%.KeywordsHeterocoagulationReynolds criterionStokes criterionAttached vortexWetting angleCirculationDispersion