A revisit of the development of viscoplastic flow in pipes and channels
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913488383770624 |
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| author | Syrakos, Alexandros Gryparis, Evgenios Georgiou, Georgios C. |
| author_facet | Syrakos, Alexandros Gryparis, Evgenios Georgiou, Georgios C. |
| contents | This study revisits the development of viscoplastic flow in pipes and channels, focusing on the flow of a Bingham plastic. Using finite element simulations and the Papanastasiou regularisation, results are obtained across a range of Reynolds and Bingham numbers. The novel contributions of this work include: (a) investigating a definition of the development length based on wall shear stress, a critical parameter in numerous applications; (b) considering alternative definitions of the Reynolds number in an effort to collapse the development length curves into a single master curve, independent of the Bingham number; (c) examining the patterns of yielded and unyielded regions within the flow domain; and (d) assessing the impact of the regularisation parameter on the accuracy of the results. The findings enhance the existing literature, providing a more comprehensive understanding of this classic flow problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_00842 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A revisit of the development of viscoplastic flow in pipes and channels Syrakos, Alexandros Gryparis, Evgenios Georgiou, Georgios C. Fluid Dynamics This study revisits the development of viscoplastic flow in pipes and channels, focusing on the flow of a Bingham plastic. Using finite element simulations and the Papanastasiou regularisation, results are obtained across a range of Reynolds and Bingham numbers. The novel contributions of this work include: (a) investigating a definition of the development length based on wall shear stress, a critical parameter in numerous applications; (b) considering alternative definitions of the Reynolds number in an effort to collapse the development length curves into a single master curve, independent of the Bingham number; (c) examining the patterns of yielded and unyielded regions within the flow domain; and (d) assessing the impact of the regularisation parameter on the accuracy of the results. The findings enhance the existing literature, providing a more comprehensive understanding of this classic flow problem. |
| title | A revisit of the development of viscoplastic flow in pipes and channels |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2409.00842 |