The 'Brazil-nut effect' in bidisperse particle laden flow on an incline
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| Format: | Preprint |
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2025
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| _version_ | 1866908384861618176 |
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| author | Luong, Jack Burnett, Sarah Cassie Bertozzi, Andrea L. |
| author_facet | Luong, Jack Burnett, Sarah Cassie Bertozzi, Andrea L. |
| contents | We study bidisperse suspensions -- suspensions where there are two particle species of the same density but different sizes -- of a viscous fluid on an incline. We use a lubrication theory/thin film model to form a hyperbolic system of three conservation laws for the height and particle volume fractions. The model predicts, over a range of parameters, that the larger particles rise to the top of the layer, consistent with the well-known `Brazil-nut effect' for granular media. The model predicts well-separated fronts of the two species of particles, behind a clear fluid front, at lower inclination angles and volume fractions. This corresponds to a triple shock structure in the system of conservations. At higher inclination angles and volume fractions the particles congregate at a high concentration at the leading front corresponding to a singular shock in the model. We find excellent agreement between theory and experiments in terms of the overall dynamic structures as the parameters vary. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_24114 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The 'Brazil-nut effect' in bidisperse particle laden flow on an incline Luong, Jack Burnett, Sarah Cassie Bertozzi, Andrea L. Fluid Dynamics Soft Condensed Matter 35Q70, 76D08, 70-10 We study bidisperse suspensions -- suspensions where there are two particle species of the same density but different sizes -- of a viscous fluid on an incline. We use a lubrication theory/thin film model to form a hyperbolic system of three conservation laws for the height and particle volume fractions. The model predicts, over a range of parameters, that the larger particles rise to the top of the layer, consistent with the well-known `Brazil-nut effect' for granular media. The model predicts well-separated fronts of the two species of particles, behind a clear fluid front, at lower inclination angles and volume fractions. This corresponds to a triple shock structure in the system of conservations. At higher inclination angles and volume fractions the particles congregate at a high concentration at the leading front corresponding to a singular shock in the model. We find excellent agreement between theory and experiments in terms of the overall dynamic structures as the parameters vary. |
| title | The 'Brazil-nut effect' in bidisperse particle laden flow on an incline |
| topic | Fluid Dynamics Soft Condensed Matter 35Q70, 76D08, 70-10 |
| url | https://arxiv.org/abs/2505.24114 |