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颗粒对粘性颗粒介质的撞击。

Particle impact on a cohesive granular media.

作者信息

Ralaiarisoa V, Dupont P, Moctar A Ould El, Naaim-Bouvet F, Oger L, Valance A

机构信息

Université de Rennes, CNRS, Institut de Physique de Rennes, UMR 6251, 35042 Rennes, France.

Université Grenoble Alpes, INRAE, UR ETNA, 38000 Grenoble, France.

出版信息

Phys Rev E. 2022 May;105(5-1):054902. doi: 10.1103/PhysRevE.105.054902.

Abstract

We investigate numerically the impact process of a particle of diameter d and velocity V_{i} onto a cohesive granular packing made of similar particles via two-dimensional discrete element method simulations. The cohesion is ensured by liquid bridges between neighboring particles and described by short range attraction force based on capillary modeling. The outcome of the impact is analyzed through the production of ejected particles from the packing, referred to as the splash process. We quantify this production as a function of the impact velocity for various capillary strength Γ and liquid content Ω. The numerical data indicate that the splash process is modified when the dimensionless cohesion number Co=6Γ/ρ_{p}gd^{2} (where ρ_{p} is the particle density, d its diameter, and g the gravitational acceleration) exceeds a critical value of the order of the unity. Above this value, we highlight that the ejection process is triggered above a threshold impact Froude number, Fr=V_{i}/sqrt[gd], which depends both on Γ and Ω and scales as Γ^{β}Ω^{δ}, where the values of the exponents are found close to 1/2 and 1/6, respectively, and can be derived from rational physical arguments. Importantly, we show that, above the threshold, the number of splashed particles follows a linear law with the impact Froude number as in the cohesionless case.

摘要

我们通过二维离散元方法模拟,对直径为d、速度为Vi的颗粒撞击由相似颗粒构成的粘性颗粒堆积体的撞击过程进行了数值研究。颗粒间的内聚力由液桥保证,并基于毛细管模型用短程吸引力来描述。通过堆积体中被弹出颗粒的产生情况(即飞溅过程)来分析撞击结果。我们将这种产生情况量化为不同毛细管强度Γ和液体含量Ω下撞击速度的函数。数值数据表明,当无量纲内聚数Co = 6Γ/ρpgd2(其中ρp为颗粒密度,d为其直径,g为重力加速度)超过量级为1的临界值时,飞溅过程会发生改变。高于该值时,我们强调弹射过程在一个阈值撞击弗劳德数Fr = Vi/√[gd]之上被触发,该弗劳德数既取决于Γ也取决于Ω,且按ΓβΩδ缩放,其中指数值分别接近1/2和1/6,并且可从合理的物理论证中推导得出。重要的是,我们表明,在阈值之上,飞溅颗粒的数量与撞击弗劳德数遵循线性规律,这与无粘性情况相同。

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