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稠密颗粒流与颗粒分选的力模型

A force model for dense granular flows and particle segregation

M. P. van Schrojenstein Lantman

arXiv 2609.09398首次发表:更新:

发表机构

Maritime Research Institute Netherlands(荷兰海事研究所)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文提出一种基于双阻力的单颗粒力模型,解释稠密颗粒流中的分选机制,并通过单分散流验证,揭示分选始终存在的新视角。

AI 中文摘要

稠密颗粒流在自然界和工业中普遍存在,但仍展现出一些尚未完全理解的现象。其中之一便是构成稠密颗粒流的颗粒的分选现象,即颗粒因尺寸和密度等性质的差异而发生分离。本研究从新的视角处理分选问题,基于观察到颗粒上存在两个相反的阻力这一事实,为单个颗粒建立了一个力模型。在单分散流中对模型的验证揭示了一系列速度剖面,包括巴格诺尔德剖面。进一步通过与文献中已知的颗粒标度定律进行比较来验证模型。该力模型表明,分选机制在稠密颗粒流中始终存在,而单分散流是其中该机制不显著可见的特例。本文的见解为稠密颗粒流及其单个颗粒提供了一种根本性的新思考方式,为该领域开辟了新的研究方向。

英文摘要

Dense granular flows are a common occurrence throughout nature and industry, but still exhibit phenomena that are not fully understood. One of these phenomena is the segregation of particles that constitute a dense granular flow, where particles separate due to differences in properties such as size and density. This work approaches segregation from a new perspective by developing a force model for a single particle based on the observation that there are two opposing drag forces acting on the particle. Validation of the model in mono-disperse flows reveals a family of velocity profiles, including a Bagnold profile. Further validation is done by comparing with known particle scaling laws in literature. The force model shows that the mechanism of segregation is always present in dense granular flows and that mono-disperse flows are a unique case where it is not distinctly visible. The insights in this paper prove a fundamental new way of thinking about dense granular flows and its individual particles, opening the field for new research directions.

论文原文

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