The effect of relative position on the motion and interactions of particle sedimentation under gravity in a finite-width vertical channel
Understanding the settling behaviour of particles and the interactions between fluid and particles in channelled fluids is crucial for various natural and industrial processes. The research presented in this study focuses on elucidating the sedimentation modes of dual particles within finite-width c...
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Taylor & Francis Group
2024-12-01
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| Series: | Engineering Applications of Computational Fluid Mechanics |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/19942060.2024.2406250 |
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| author | Tao Guo Bang Yan Xintao Lu Zhumei Luo |
| author_facet | Tao Guo Bang Yan Xintao Lu Zhumei Luo |
| author_sort | Tao Guo |
| collection | DOAJ |
| description | Understanding the settling behaviour of particles and the interactions between fluid and particles in channelled fluids is crucial for various natural and industrial processes. The research presented in this study focuses on elucidating the sedimentation modes of dual particles within finite-width channels, employing the Arbitrary Lagrangian-Eulerian (ALE) method in conjunction with Hertz contact theory. We aim to understand how the initial relative position affects the dynamic characteristics of particle settlement. The threshold values of α = 35° and gap ratio (the distance between particles relative to their diameter) L/D = 3.5 are deemed critical. The phenomenon of particles ‘kissing’ does not manifest when the initial angle α ≤ 35°. As the α increases, the DKT (Drafting-Kissing-Tumbling) process recurs at earlier stage. In all cases where dual-particle are arranged in a vertically aligned pattern (DP1 = DP2 or DP1> DP2), the settling behaviour of particles will eventually achieve a steady state characterized by the DKT process when L/D ≤ 4.0. As the gap ratio (L/D) increases, the time taken for the kissing phenomenon is prolonged. Additionally, the two particles exchange positions and the larger particle taking the lead in the settling process. In scenarios where dual particles are arranged side by side, the kissing phenomenon does not occur. Instead, the trajectory of the particles deviates from the centreline and shifts towards the channel wall due to the Magnus effect when L/D ≤ 2.0. When L/D ≥ 3.0, particles settle as though they were a single particle. In cases involving multiple particles, the hindering effect of the wall becomes significant and can not be ignored, leading to the observation of Rayleigh-Taylor instability development. As a result, the overall settlement pattern tends to be ‘concave’. |
| format | Article |
| id | doaj-art-adf5dc0587424c8db130a2761f26e5ed |
| institution | Kabale University |
| issn | 1994-2060 1997-003X |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Engineering Applications of Computational Fluid Mechanics |
| spelling | doaj-art-adf5dc0587424c8db130a2761f26e5ed2024-12-09T09:43:46ZengTaylor & Francis GroupEngineering Applications of Computational Fluid Mechanics1994-20601997-003X2024-12-0118110.1080/19942060.2024.2406250The effect of relative position on the motion and interactions of particle sedimentation under gravity in a finite-width vertical channelTao Guo0Bang Yan1Xintao Lu2Zhumei Luo3Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming, People’s Republic of ChinaFaculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming, People’s Republic of ChinaSchool of Aeronautics and Astronautics, Zhejiang University, Hangzhou, People’s Republic of ChinaFaculty of Metallurgy and Energy Engineering, Kunming University of Science and Technology, Kunming, People’s Republic of ChinaUnderstanding the settling behaviour of particles and the interactions between fluid and particles in channelled fluids is crucial for various natural and industrial processes. The research presented in this study focuses on elucidating the sedimentation modes of dual particles within finite-width channels, employing the Arbitrary Lagrangian-Eulerian (ALE) method in conjunction with Hertz contact theory. We aim to understand how the initial relative position affects the dynamic characteristics of particle settlement. The threshold values of α = 35° and gap ratio (the distance between particles relative to their diameter) L/D = 3.5 are deemed critical. The phenomenon of particles ‘kissing’ does not manifest when the initial angle α ≤ 35°. As the α increases, the DKT (Drafting-Kissing-Tumbling) process recurs at earlier stage. In all cases where dual-particle are arranged in a vertically aligned pattern (DP1 = DP2 or DP1> DP2), the settling behaviour of particles will eventually achieve a steady state characterized by the DKT process when L/D ≤ 4.0. As the gap ratio (L/D) increases, the time taken for the kissing phenomenon is prolonged. Additionally, the two particles exchange positions and the larger particle taking the lead in the settling process. In scenarios where dual particles are arranged side by side, the kissing phenomenon does not occur. Instead, the trajectory of the particles deviates from the centreline and shifts towards the channel wall due to the Magnus effect when L/D ≤ 2.0. When L/D ≥ 3.0, particles settle as though they were a single particle. In cases involving multiple particles, the hindering effect of the wall becomes significant and can not be ignored, leading to the observation of Rayleigh-Taylor instability development. As a result, the overall settlement pattern tends to be ‘concave’.https://www.tandfonline.com/doi/10.1080/19942060.2024.2406250Fluid-particles interactionsedimentation modeDKT phenomenonALE methodparticle/fluid flow |
| spellingShingle | Tao Guo Bang Yan Xintao Lu Zhumei Luo The effect of relative position on the motion and interactions of particle sedimentation under gravity in a finite-width vertical channel Engineering Applications of Computational Fluid Mechanics Fluid-particles interaction sedimentation mode DKT phenomenon ALE method particle/fluid flow |
| title | The effect of relative position on the motion and interactions of particle sedimentation under gravity in a finite-width vertical channel |
| title_full | The effect of relative position on the motion and interactions of particle sedimentation under gravity in a finite-width vertical channel |
| title_fullStr | The effect of relative position on the motion and interactions of particle sedimentation under gravity in a finite-width vertical channel |
| title_full_unstemmed | The effect of relative position on the motion and interactions of particle sedimentation under gravity in a finite-width vertical channel |
| title_short | The effect of relative position on the motion and interactions of particle sedimentation under gravity in a finite-width vertical channel |
| title_sort | effect of relative position on the motion and interactions of particle sedimentation under gravity in a finite width vertical channel |
| topic | Fluid-particles interaction sedimentation mode DKT phenomenon ALE method particle/fluid flow |
| url | https://www.tandfonline.com/doi/10.1080/19942060.2024.2406250 |
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