Abstract Granular materials are used in many industrial processes among various fields, such as pharmaceutical, food, metallurgy or nuclear fuel production. However, compared to other commonly used media, such as liquids, powders are known to behave unpredictably, leading to uncontrolled process operations. Since the flow behavior of the powders originates from interparticle forces, we suggest a model, linking the macroscopic flowability of powder beds, and the properties of the microscopic particles constituting the powder. A population dependent granular Bond number (Capece et al., 2016), that takes into account the particles properties such as the particles’ true density, surface energy, rugosity and the whole particle size distribution, is used. This non-dimensional number was found to correlate well with the flowability of polydispersed powder bed, which can be measured by shear testing with a Freeman FT4® powder rheometer. The results found in previous studies (Bernard-Granger et al., 2019; Capece et al., 2016) are extended and discussed using five different oxide powders exhibiting various flow behaviors. In particular, a short sensitivity analysis of the model is carried out. The results show that the fraction of fine particles within a polydispersed powder is a critical parameter for the flowability of the powder bed. Finally, the Rumpf’s theory is used to suggest a physical meaning for the model parameters.

中文翻译：

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基于颗粒键数的多分散颗粒系统流变模型的研究

摘要 颗粒材料在制药、食品、冶金或核燃料生产等各个领域的许多工业过程中都有应用。然而，与其他常用介质（例如液体）相比，已知粉末的行为不可预测，从而导致过程操作不受控制。由于粉末的流动行为源于颗粒间力，我们建议建立一个模型，将粉末床的宏观流动性与构成粉末的微观颗粒的性质联系起来。使用了依赖于群体的颗粒邦德数 (Capece et al., 2016)，它考虑了颗粒的特性，例如颗粒的真实密度、表面能、粗糙度和整个颗粒尺寸分布。发现该无量纲数与多分散粉末床的流动性密切相关，这可以通过使用 Freeman FT4® 粉末流变仪进行剪切测试来测量。之前的研究（Bernard-Granger 等人，2019 年；Capece 等人，2016 年）中发现的结果使用表现出不同流动行为的五种不同氧化物粉末进行了扩展和讨论。特别是，对模型进行了简短的敏感性分析。结果表明，多分散粉末中细颗粒的分数是粉末床流动性的关键参数。最后，Rumpf 的理论被用来建议模型参数的物理意义。2016) 使用表现出不同流动行为的五种不同氧化物粉末进行扩展和讨论。特别是，对模型进行了简短的敏感性分析。结果表明，多分散粉末中细颗粒的分数是粉末床流动性的关键参数。最后，Rumpf 的理论被用来建议模型参数的物理意义。2016) 使用表现出不同流动行为的五种不同氧化物粉末进行扩展和讨论。特别是，对模型进行了简短的敏感性分析。结果表明，多分散粉末中细颗粒的分数是粉末床流动性的关键参数。最后，Rumpf 的理论被用来建议模型参数的物理意义。