An Alternative Scaling for Roughness Transitions in Turbulent Flows: The Role of the Internal Boundary Layer
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910999555080192 |
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| author | Cooke, Justin P. Park, George I. Jerolmack, Douglas J. Arratia, Paulo E. |
| author_facet | Cooke, Justin P. Park, George I. Jerolmack, Douglas J. Arratia, Paulo E. |
| contents | When turbulent boundary layer flows encounter abrupt roughness changes, an Internal Boundary Layer (IBL) forms. Equilibrium theory breaks down in the nonequilibrium IBL, which may extend O(10) km for natural atmospheric flows. Here, we find that the IBL possesses a characteristic time-scale associated with the IBL height, $δ_i$. We show that $δ_i$ and the edge velocity set the scales of the mean and defect velocity profiles within the IBL, for simulation and experimental data covering a multitude of roughness transition types. We present a nontrivial extension of equilibrium theory to the dynamically adjusting IBL, which can be useful for modeling a range of environmental and industrial flows. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_08705 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Alternative Scaling for Roughness Transitions in Turbulent Flows: The Role of the Internal Boundary Layer Cooke, Justin P. Park, George I. Jerolmack, Douglas J. Arratia, Paulo E. Fluid Dynamics When turbulent boundary layer flows encounter abrupt roughness changes, an Internal Boundary Layer (IBL) forms. Equilibrium theory breaks down in the nonequilibrium IBL, which may extend O(10) km for natural atmospheric flows. Here, we find that the IBL possesses a characteristic time-scale associated with the IBL height, $δ_i$. We show that $δ_i$ and the edge velocity set the scales of the mean and defect velocity profiles within the IBL, for simulation and experimental data covering a multitude of roughness transition types. We present a nontrivial extension of equilibrium theory to the dynamically adjusting IBL, which can be useful for modeling a range of environmental and industrial flows. |
| title | An Alternative Scaling for Roughness Transitions in Turbulent Flows: The Role of the Internal Boundary Layer |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2411.08705 |