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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.08862 |
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| _version_ | 1866912534273982464 |
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| author | Khan, Basheer Ahmad Arogeti, Shai Shoshani, Oriel Yakhot, Alexander |
| author_facet | Khan, Basheer Ahmad Arogeti, Shai Shoshani, Oriel Yakhot, Alexander |
| contents | Turbulent puffs in a pipe persist for a long time before abruptly transitioning to laminar flow through viscous exponential decay. Direct numerical simulation results reveal a saddle-node bifurcation sequence governing the final relaminarization stage. Specifically, a universal square-root scaling law in the annihilation of critical points that is indicative of a saddle-node bifurcation. The Riccati equation has been proposed as a straightforward approach to modeling these bifurcations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08862 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Saddle-node bifurcation during the relaminarization of turbulent puffs in pipe Khan, Basheer Ahmad Arogeti, Shai Shoshani, Oriel Yakhot, Alexander Fluid Dynamics Turbulent puffs in a pipe persist for a long time before abruptly transitioning to laminar flow through viscous exponential decay. Direct numerical simulation results reveal a saddle-node bifurcation sequence governing the final relaminarization stage. Specifically, a universal square-root scaling law in the annihilation of critical points that is indicative of a saddle-node bifurcation. The Riccati equation has been proposed as a straightforward approach to modeling these bifurcations. |
| title | Saddle-node bifurcation during the relaminarization of turbulent puffs in pipe |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2508.08862 |