The variability of physical and mechanical properties of finely dispersed bulky materials during processing and storage, the manner and height of filling the tanks; the terms and conditions of storage have a decisive influence on the choice of parameters of the discharge hoppers of bunkers with gravitational outflow. Therefore, the purpose of the article was to justify the geometric parameters of the discharge hopper to provide a gravitational outflow of finely dispersed bulky materials. The geometrical parameters of the discharge hoppers were determined through mathematical simulation of the flow outflow of materials under the influence of gravity forces and the analysis of the tense state of bulky materials in the zone of outflow. As a result of mathematical simulation, the maximum diameter of the outlet of the hopper hole is determined, that implements the effect of "self-locking" the flow of the product is realized. The influence of physical and mechanical characteristics of finely dispersed bulky materials and angles the conical discharge hopper hole on the size of the outlet during the gravitational outflow is established. The mathematical model of the gravitational outflow of materials with conical discharge hopper hole, which takes into account the complexity of the nature of physical and mechanical connections between particles of materials is developed in the article. The research results allow to design bunkers for storage of finely dispersed bulky materials, to predict their behaviour with gravitational outflow and to ensure reliable operation of bunkers during their unloading. Also, in the future, it is advisable to carry out mathematical simulation of the process of gravitational outflow of finely dispersed bulky materials from bunkers of various cross sections and with different forms of the discharge hoppers.
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