Mathematical description of the process of recycling rubber products by a working element with a variable arrangement of knives

Abstract

The process of recycling rubber products using a working element with a variable arrangement of knives is examined. It has been established that a device with a vertical working element is most effective for increasing the number of stages of grinding. The spheres of rubber crumb use are systematized: the production of building materials, road construction components, application as reclaimed material, etc. Due to the lack of general knowledge of the issues of grinding elastomers, such as rubber, and the lack of well-established theoretical approaches to this process, it is advisable to consider the destruction of rubber into crumb in the mathematical description from the perspective of its reuse in another product. That is, the crumb production mechanism itself should be considered, rather than the cutting process typical of mechanical processing, the purpose of which is to give the product a shape. Based on geometric and energy analysis, a mathematical description of the pre-fracture zone ahead of the tooth front was made. An expression for the volumetric expansion coefficient of the compaction zone was obtained, and the minimum rotor speed was determined to ensure effective particle separation. The influence of technological parameters (rotation speed ω, number of cutting knives z, thickness of the adjusting knife zb) on the grinding power and particle morphology has been established.