A model for Reynolds-dependent linear instability in wall-bounded shear flows
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913751332028416 |
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| author | Dabiri, John O. Leonard, Anthony |
| author_facet | Dabiri, John O. Leonard, Anthony |
| contents | Recent work demonstrated that alternative models to the "no-slip" boundary condition for incipient flow perturbations can produce linear instabilities that do not arise in the classical formulation. The present study introduces a Robin-type boundary condition with explicit Reynolds-number dependence, which leads to a more physically realistic transition to instability in wall-bounded shear flows. The results show that instability occurs within a Reynolds number range consistent with empirical observations. A physical interpretation of the modified boundary condition in terms of near-wall vorticity dynamics is discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_17451 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A model for Reynolds-dependent linear instability in wall-bounded shear flows Dabiri, John O. Leonard, Anthony Fluid Dynamics Recent work demonstrated that alternative models to the "no-slip" boundary condition for incipient flow perturbations can produce linear instabilities that do not arise in the classical formulation. The present study introduces a Robin-type boundary condition with explicit Reynolds-number dependence, which leads to a more physically realistic transition to instability in wall-bounded shear flows. The results show that instability occurs within a Reynolds number range consistent with empirical observations. A physical interpretation of the modified boundary condition in terms of near-wall vorticity dynamics is discussed. |
| title | A model for Reynolds-dependent linear instability in wall-bounded shear flows |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2503.17451 |