Confined binary particle mixing with a modified discrete element method

IF 2.8 3区工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Computational Particle Mechanics Pub Date : 2024-05-11 DOI:10.1007/s40571-024-00767-2

Chao Jiang, Christopher A. Bareither, Paul R. Heyliger

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Abstract

A modified version of a nonlinear viscoelastic damping model is presented to better represent overall spherical particle response using the discrete element method (DEM) to simulate gravity-driven mixing of binary particles into a confined box. Nonlinear springs are used in the normal and tangential directions to simulate the contact forces, and an additional nonlinear annular spring is employed at the contact points to account for rolling friction. A viscous damping term related to the relative motion between contacting particles is applied to represent energy dissipation, and an alternative condition for checking the end of a collision is applied. The new model is shown to successfully recover the tangential force behavior in stick and sliding regions without having to introduce more complicated behavior. Results are in excellent agreement with existing benchmark tests, and the model is applied to evaluating several different mixing schemes using fixed geometric particle flow disruptors with sometimes surprising results.

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用改进的离散元素法进行密闭二元粒子混合

本文介绍了非线性粘弹性阻尼模型的改进版本，以更好地表示使用离散元素法（DEM）模拟二元颗粒在重力驱动下进入密闭箱体的整体球形颗粒响应。在法线和切向方向使用非线性弹簧来模拟接触力，并在接触点使用额外的非线性环形弹簧来考虑滚动摩擦。采用了与接触颗粒间相对运动有关的粘性阻尼项来表示能量耗散，并采用了另一种检查碰撞结束的条件。结果表明，新模型能成功恢复粘性和滑动区域的切向力行为，而无需引入更复杂的行为。结果与现有的基准测试非常吻合，该模型还被用于评估使用固定几何粒子流扰动器的几种不同的混合方案，结果有时令人惊讶。

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来源期刊

Computational Particle Mechanics Mathematics-Computational Mathematics

CiteScore

5.70

自引率

9.10%

发文量

期刊介绍： GENERAL OBJECTIVES: Computational Particle Mechanics (CPM) is a quarterly journal with the goal of publishing full-length original articles addressing the modeling and simulation of systems involving particles and particle methods. The goal is to enhance communication among researchers in the applied sciences who use "particles'''' in one form or another in their research. SPECIFIC OBJECTIVES: Particle-based materials and numerical methods have become wide-spread in the natural and applied sciences, engineering, biology. The term "particle methods/mechanics'''' has now come to imply several different things to researchers in the 21st century, including: (a) Particles as a physical unit in granular media, particulate ﬂows, plasmas, swarms, etc., (b) Particles representing material phases in continua at the meso-, micro-and nano-scale and (c) Particles as a discretization unit in continua and discontinua in numerical methods such as Discrete Element Methods (DEM), Particle Finite Element Methods (PFEM), Molecular Dynamics (MD), and Smoothed Particle Hydrodynamics (SPH), to name a few.