Granular segregation across flow geometries: a closure model for the particle segregation velocity
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909859074539520 |
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| author | Duan, Yifei Jing, Lu Umbanhowar, Paul B. Ottino, Julio M. Lueptow, Richard M. |
| author_facet | Duan, Yifei Jing, Lu Umbanhowar, Paul B. Ottino, Julio M. Lueptow, Richard M. |
| contents | Predicting particle segregation has remained challenging due to the lack of a general model for the segregation velocity that is applicable across a range of granular flow geometries. Here, a segregation velocity model for dense granular flows is developed by exploiting momentum balance and recent advances in particle-scale modelling of the segregation driving and drag forces over a wide range of particle concentrations, size and density ratios, and flow conditions. This model is shown to correctly predict particle segregation velocity in a diverse set of idealized and natural granular flow geometries simulated using the discrete element method. When incorporated in the well-established advection-diffusion-segregation formulation, the model has the potential to accurately capture segregation phenomena in many relevant industrial application and geophysical settings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08350 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Granular segregation across flow geometries: a closure model for the particle segregation velocity Duan, Yifei Jing, Lu Umbanhowar, Paul B. Ottino, Julio M. Lueptow, Richard M. Soft Condensed Matter Predicting particle segregation has remained challenging due to the lack of a general model for the segregation velocity that is applicable across a range of granular flow geometries. Here, a segregation velocity model for dense granular flows is developed by exploiting momentum balance and recent advances in particle-scale modelling of the segregation driving and drag forces over a wide range of particle concentrations, size and density ratios, and flow conditions. This model is shown to correctly predict particle segregation velocity in a diverse set of idealized and natural granular flow geometries simulated using the discrete element method. When incorporated in the well-established advection-diffusion-segregation formulation, the model has the potential to accurately capture segregation phenomena in many relevant industrial application and geophysical settings. |
| title | Granular segregation across flow geometries: a closure model for the particle segregation velocity |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2410.08350 |