Revision of the linear stability paradox for known bounded shear flows
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915177583083520 |
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| author | Chefranov, Sergey G. Chefranov, Alexander G. |
| author_facet | Chefranov, Sergey G. Chefranov, Alexander G. |
| contents | The well-known paradox of linear stability for the some bounded shear flows is not solved up to now and is bypassed on the basis of the non-linear mechanisms consideration. We prove that it is arising only due to an idealized assumption of an exact space periodicity for the small hydrodynamic perturbations. When finite non-zero viscosity is taken into account only quasi-periodic boundary conditions must be used. The conditions of linear instability to the Hagen-Poiseuille flow and to the plane Couette flow are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00012 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revision of the linear stability paradox for known bounded shear flows Chefranov, Sergey G. Chefranov, Alexander G. Fluid Dynamics The well-known paradox of linear stability for the some bounded shear flows is not solved up to now and is bypassed on the basis of the non-linear mechanisms consideration. We prove that it is arising only due to an idealized assumption of an exact space periodicity for the small hydrodynamic perturbations. When finite non-zero viscosity is taken into account only quasi-periodic boundary conditions must be used. The conditions of linear instability to the Hagen-Poiseuille flow and to the plane Couette flow are obtained. |
| title | Revision of the linear stability paradox for known bounded shear flows |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2503.00012 |