Any scientific behavior is best represented by nondimensional numbers. However, in many cases, for pneumatic conveying systems, dimensional equations are developed and used. In some cases, many of the nondimensional equations include Reynolds (Re) and Froude (Fr) numbers; they are usually defined for a limited range of materials and operating conditions. This study demonstrates that most of the relevant flow types, whether in horizontal or vertical pipes, can be better described by Re and Archimedes (Ar) numbers. Ar can also be used in hydraulic conveying systems. This paper presents many threshold velocities that are accurately defined by Re as a simple power function of Ar. Many particulate materials are considered by Ar, thereby linking them to a common behavior. Using various threshold velocities, a flow regime chart for horizontal conveying is presented in this paper.

中文翻译：

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雷诺数和阿基米德数在粒子流体流动中的作用

任何科学行为最好用无量纲数来表示。然而，在许多情况下，对于气力输送系统，会开发和使用维度方程。在某些情况下，许多无量纲方程包括雷诺数 (Re) 和弗劳德 (Fr) 数；它们通常针对有限范围的材料和操作条件进行定义。这项研究表明，大多数相关的流动类型，无论是水平管道还是垂直管道，都可以用 Re 和阿基米德 (Ar) 数更好地描述。Ar也可用于液压输送系统。本文介绍了许多阈值速度，这些阈值速度由 Re 准确定义为 Ar 的简单幂函数。Ar 考虑了许多颗粒材料，从而将它们与常见行为联系起来。使用各种阈值速度，