Abstract The increased interest in cold agglomeration in recent years has been largely due to the successful experience in operating briquette lines based on stiff vacuum extrusion (SVE). The high performance of SVE extruders and the satisfactory metallurgical properties of extrusion briquettes obtained in this way (brex) make it possible to consider this cold agglomeration technology as promising. SVE Extruders allow efficient briquetting of the materials with moisture contents values in the range of 12–16% and compacting pressure of 3.5–4.5 MPa, leading to the possibility of achieving high values of mechanical strength of raw briquettes and eliminates the need for drying briquetted charge and heat treatment of the green briquettes. The growing scale of practical use of extruders in the steel industry necessitated the development of simple and effective methods for determining their operating parameters. The briquetted mass is a moistened plastic mass, driven by the blades of a rotating auger and squeezed out further through the holes in the extruder die in the form of elongated briquettes, repeating in cross section the shape of the hole. In application to the optimization problems of extrusion briquette technology, the exact solution of the Navier–Stokes equations for a viscous incompressible medium shifted between coaxial cylinders along the common axis of symmetry and twisted around it by longitudinal displacement and axial rotation of the inner cylinder is given, respectively, under sticking conditions and given longitudinal pressure drop. In particular, it was found that the speed of transportation of the mixed mass cannot exceed the speed delivered by the supplied pressure, and the formula of the latter is transferred to the compressible medium as a special viscosity integral for a viscoplastic medium, where it serves as a generalization of known exact solutions. A similar solution for a compressible medium is being sought. The obtained analytical dependencies can be used to calculate the parameters of industrial briquette extruders operating in both the stiff extrusion mode and the semi-stiff and soft extrusion mode, differing in the moisture values of the briquetted mass and the values of the applied pressure.

中文翻译：

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关于挤压机中压块的运动。精确的解决方案。1

摘要 近年来，人们对冷团聚的兴趣日益增加，这主要归功于基于硬真空挤出 (SVE) 的型煤生产线的成功经验。SVE 挤出机的高性能和以这种方式 (brex) 获得的挤出团块令人满意的冶金性能使人们可以认为这种冷团聚技术很有前景。SVE 挤出机可以有效压块水分值在 12-16% 范围内和压实压力为 3.5-4.5 MPa 的材料，从而有可能实现生煤球的高机械强度值，并且无需干燥压块生坯的装料和热处理。挤压机在钢铁工业中的实际应用规模不断扩大，需要开发简单有效的方法来确定其操作参数。压块是一种湿润的塑料块，由旋转螺旋钻的刀片驱动，并以细长的压块形式通过挤出机模具中的孔进一步挤出，在横截面中重复孔的形状。在挤压成型技术优化问题的应用中，对于沿公共对称轴在同轴圆柱体之间移动并通过内圆柱体的纵向位移和轴向旋转绕其扭转的粘性不可压缩介质的纳维-斯托克斯方程的精确解为分别在粘附条件和给定纵向压降下给出。特别是，发现混合物质的运输速度不能超过供给压力所传递的速度，将后者的公式作为粘塑性介质的特殊粘度积分传递到可压缩介质中，作为推广已知的精确解。正在寻找用于可压缩介质的类似解决方案。获得的分析相关性可用于计算在硬挤压模式和半硬和软挤压模式下运行的工业压块挤出机的参数，不同的压块质量的水分值和施加的压力值。后者的公式作为粘塑性介质的特殊粘度积分转移到可压缩介质中，作为已知精确解的推广。正在寻找用于可压缩介质的类似解决方案。获得的分析相关性可用于计算在硬挤压模式和半硬和软挤压模式下运行的工业压块挤出机的参数，不同的压块质量的水分值和施加的压力值。后者的公式作为粘塑性介质的特殊粘度积分转移到可压缩介质中，作为已知精确解的推广。正在寻找用于可压缩介质的类似解决方案。获得的分析相关性可用于计算在硬挤压模式和半硬和软挤压模式下运行的工业压块挤出机的参数，不同的压块质量的水分值和施加的压力值。