Determinative mathematical model of screw conveyor operation
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Abstract
Screw conveyors are used in the construction of machines in various industries, including the agricultural sector. They are designed for horizontal, inclined and vertical movement of root crops and can simultaneously perform related functions - their crushing and transportation. The stability or technological integrity of the process of transporting crushed root crops by a screw conveyor largely depends on the stochastic change in the input and output flows, or their disorganization. The article presents a mathematical model that describes the process of transporting crushed root crops taking into account the disorganization of the output flow of the hopper and the output flow of the collecting channel. Based on the model, an analytical dependence is developed to determine the coefficient of disorganization of flows and the limits of its change are established. It is substantiated that the rational operation of the screw conveyor occurs when the value of the disorganization of the output flow of the hopper and the collecting channel is equal to zero, at which the disorganization coefficient is also equal to zero.
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