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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.16133 |
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| _version_ | 1866909436612706304 |
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| author | Tiwari, Alok Ganguli, Sourav Bose, Manaswita Kumaran, V |
| author_facet | Tiwari, Alok Ganguli, Sourav Bose, Manaswita Kumaran, V |
| contents | The selection of parameters in the contact law for inter-particle interactions affects the results of simulations of flowing granular materials. The present study aims to understand the effect of the ratio of tangential to normal spring stiffness coefficient ($κ$) on inter-particle contact behaviour in terms of the rotational coefficient of restitution determined using data obtained from multi-particle simulations. The effect of $κ$ on the profiles of the micro- and macroscopic properties of particles in a vibrofluidised bed is also investigated. The Discrete Element Method (DEM) is used to simulate a vertically vibrated fluidised bed using the open-source software LAMMPS. The inter-particle and wall-particle contact forces are determined using the linear spring-dashpot (LSD) model. The distribution of the mean co-ordination number, force during the contact, contact regimes, and rotational coefficient of restitution are determined from the data obtained from simulations. It was shown that $κ$ plays a significant role in the distribution of inter-particle contacts between different regimes and, thereby, the velocity distribution and profiles of statistically averaged properties of the vibrofluidised particles. Our results show that for particles with surface friction coefficient $μ>0.1$, the commonly used value $κ=\frac{2}{7}$ results in quantitatively different results from those obtained using $0.67 \le κ< 1$, a range consistent with the realistic values of Poisson ratios for simple materials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_16133 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Role of the ratio of tangential to normal stiffness coefficient on the behaviour of vibrofluidised particles Tiwari, Alok Ganguli, Sourav Bose, Manaswita Kumaran, V Soft Condensed Matter The selection of parameters in the contact law for inter-particle interactions affects the results of simulations of flowing granular materials. The present study aims to understand the effect of the ratio of tangential to normal spring stiffness coefficient ($κ$) on inter-particle contact behaviour in terms of the rotational coefficient of restitution determined using data obtained from multi-particle simulations. The effect of $κ$ on the profiles of the micro- and macroscopic properties of particles in a vibrofluidised bed is also investigated. The Discrete Element Method (DEM) is used to simulate a vertically vibrated fluidised bed using the open-source software LAMMPS. The inter-particle and wall-particle contact forces are determined using the linear spring-dashpot (LSD) model. The distribution of the mean co-ordination number, force during the contact, contact regimes, and rotational coefficient of restitution are determined from the data obtained from simulations. It was shown that $κ$ plays a significant role in the distribution of inter-particle contacts between different regimes and, thereby, the velocity distribution and profiles of statistically averaged properties of the vibrofluidised particles. Our results show that for particles with surface friction coefficient $μ>0.1$, the commonly used value $κ=\frac{2}{7}$ results in quantitatively different results from those obtained using $0.67 \le κ< 1$, a range consistent with the realistic values of Poisson ratios for simple materials. |
| title | Role of the ratio of tangential to normal stiffness coefficient on the behaviour of vibrofluidised particles |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2412.16133 |