Mathematical model of the process of averaging the properties of bulk materials at their expiration

The goal is to predict the properties of bulk material flowing from the hopper device. The relevance of the study is due to the lack of input data for controlling the averaging process at processing plants. In this regard, this article is aimed at identifying the transfer function of the hopper device, and the delay time between the feed and the expiration of the material, which will allow you to predict the property of the bulk material, and therefore get the initial data for the averaging process, which is not always available. This article presents an analysis of the existing flow modes of bulk materials when they flow out of a hopper device with one or more holes, the equations describing the transfer function of the hopper device, as well as the time delay between the layer feed and its expiration, are derived. Based on these equations, a mathematical model for controlling the averaging process was constructed, which relates the relative fluctuations and frequency of change in the properties of the ore material entering the hopper. The compiled mathematical model provides reserves for reducing relative fluctuations in the factory. The materials of the article are of practical value for managing the process of averaging ore material at processing plants.

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