Mathematic modeling of formation sand body in mechanical space spiral classifier

The article deals with the determination of mechanical spiral classifier performance on the sand. The review of modern achievements in the relevant field is given. The aim of the work – is to find analytical dependence between solid volume in space interturn and its level. To achieve this aim it was necessary to make a static model of the spiral classifier sand body which submitted its lower and upper parts. Model of the filed bottom is given as the cylinder segment, and top - truncated pyramids. In this representation of the sand body spiral classifier the bottom part describes the non-linear, and the upper part - linear dependence. So as low circulating loads in practice is not used, changes in operating costs range sand classifier established almost linear dependence of the volume of sand in has interturn space spiral space of their level. Considering the fact that in the process of mathematical modeling applied precise analytical methods, the results are objective. Assumptions made for the submission of the top of the sand classifier body in the form of truncated pyramids do not distort the process of its formation, as point received under the strict geometric body - segment cylinder are generally depends, corresponding with the body and geometric assumptions made. Therefore, we claim that the volume of sand body mechanical spiral classifier in interturn spiral space is possible to determine by the level of solid along the vertical passing through the point of contact bed and rear coil at the lowest point. Based on the analysis of simulation results concluded that the ability to directly measure the performance of mechanical spiral classifier on the sand without delay and with high precision, opens the prospect of effectively managing the process of separation of crushed ore particle size.