Моделювання закономірностей розташування матеріалу вздовж нижньої частини піскового тіла механічного спірального класифікатора

Improving the quality of automatic control of the first stage of grinding feed ore to ore-dressing plants is constrained due to disregard of regularities the location of the material along the sand body (between turns two filar spiral) mechanical spiral classifier, which are quite important information on the pre- and post-production processes. Identification and registration of the patterns can significantly improve the quality of management of the first stage of grinding the original ore, reduce energy and material costs, as a consequence, lead to an increase in the competitiveness of the final product - magnetite concentrate in the global market. Therefore, the solution of this problem, which is the subject of this article is its relevance. The aim of the article is to develop a mathematical modeling approach and to obtain the specific location of the laws of the material along the bottom of the sand body mechanical spiral classifier. Sand spiral classifier body consists of top and bottom. The upper portion has a simple shape - the shape of a truncated pyramid, and bottom - more complex - form part of the inclined cylinder. The lower part, which is dedicated to the article, is more complex and has independent significance, because at low, medium and higher average value of the circulating load in the original ore grinding circuit manufacturing process takes place in this part of sand bodies. Dividing the lower part of the sand bodies by nine horizontal layers of equal thickness, and giving each layer of material in the form of a triangle, given them the edge effects incomplete filling along the vertical and finding the projection of all the layers in the upper horizontal plane carried graph-analytical modeling of regularities arrangement of the material along the bottom of the sand body mechanical spiral classifier. It was found that the mechanical spiral classifier 1KSN-30 lower part of the sand body is the serial number of the vertical bars, the volume of material that is subject to an exponential dependence with a maximum amount in the central part of which is determined by the capacity of sand.