Cascades and wall-normal fluxes in turbulent channel flows
The present work describes the multidimensional behaviour of scale-energy production, transfer and dissipation in wall-bounded turbulent flows. This approach allows us to understand the cascade mechanisms by which scale energy is transmitted scale-by-scale among different regions of the flow. Two dr...
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Published in | Journal of fluid mechanics Vol. 796; pp. 417 - 436 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
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Cambridge, UK
Cambridge University Press
10.06.2016
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Abstract | The present work describes the multidimensional behaviour of scale-energy production, transfer and dissipation in wall-bounded turbulent flows. This approach allows us to understand the cascade mechanisms by which scale energy is transmitted scale-by-scale among different regions of the flow. Two driving mechanisms are identified. A strong scale-energy source in the buffer layer related to the near-wall cycle and an outer scale-energy source associated with an outer turbulent cycle in the overlap layer. These two sourcing mechanisms lead to a complex redistribution of scale energy where spatially evolving reverse and forward cascades coexist. From a hierarchy of spanwise scales in the near-wall region generated through a reverse cascade and local turbulent generation processes, scale energy is transferred towards the bulk, flowing through the attached scales of motion, while among the detached scales it converges towards small scales, still ascending towards the channel centre. The attached scales of wall-bounded turbulence are then recognized to sustain a spatial reverse cascade process towards the bulk flow. On the other hand, the detached scales are involved in a direct forward cascade process that links the scale-energy excess at large attached scales with dissipation at the smaller scales of motion located further away from the wall. The unexpected behaviour of the fluxes and of the turbulent generation mechanisms may have strong repercussions on both theoretical and modelling approaches to wall turbulence. Indeed, actual turbulent flows are shown here to have a much richer physics with respect to the classical notion of turbulent cascade, where anisotropic production and inhomogeneous fluxes lead to a complex redistribution of energy where a spatial reverse cascade plays a central role. |
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AbstractList | The present work describes the multidimensional behaviour of scale-energy production, transfer and dissipation in wall-bounded turbulent flows. This approach allows us to understand the cascade mechanisms by which scale energy is transmitted scale-by-scale among different regions of the flow. Two driving mechanisms are identified. A strong scale-energy source in the buffer layer related to the near-wall cycle and an outer scale-energy source associated with an outer turbulent cycle in the overlap layer. These two sourcing mechanisms lead to a complex redistribution of scale energy where spatially evolving reverse and forward cascades coexist. From a hierarchy of spanwise scales in the near-wall region generated through a reverse cascade and local turbulent generation processes, scale energy is transferred towards the bulk, flowing through the attached scales of motion, while among the detached scales it converges towards small scales, still ascending towards the channel centre. The attached scales of wall-bounded turbulence are then recognized to sustain a spatial reverse cascade process towards the bulk flow. On the other hand, the detached scales are involved in a direct forward cascade process that links the scale-energy excess at large attached scales with dissipation at the smaller scales of motion located further away from the wall. The unexpected behaviour of the fluxes and of the turbulent generation mechanisms may have strong repercussions on both theoretical and modelling approaches to wall turbulence. Indeed, actual turbulent flows are shown here to have a much richer physics with respect to the classical notion of turbulent cascade, where anisotropic production and inhomogeneous fluxes lead to a complex redistribution of energy where a spatial reverse cascade plays a central role. |
Author | Cimarelli, A. Jiménez, J. Casciola, C. M. De Angelis, E. |
Author_xml | – sequence: 1 givenname: A. surname: Cimarelli fullname: Cimarelli, A. email: andrea.cimarelli2@unibo.it organization: DIN, Università di Bologna, 47121 Forlì, Italy – sequence: 2 givenname: E. surname: De Angelis fullname: De Angelis, E. organization: DIN, Università di Bologna, 47121 Forlì, Italy – sequence: 3 givenname: J. surname: Jiménez fullname: Jiménez, J. organization: School of Aeronautics, Universidad Politécnica de Madrid, 28040 Madrid, Spain – sequence: 4 givenname: C. M. surname: Casciola fullname: Casciola, C. M. organization: DIMA, Università di Roma La Sapienza, 00185 Rome, Italy |
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Copyright | 2016 Cambridge University Press 2016 Cambridge University Press This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited. |
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DocumentTitleAlternate | Cascades and wall-normal fluxes in turbulent channel flows A. Cimarelli, E. De Angelis, J. Jiménez and C. M. Casciola |
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Keywords | turbulent boundary layers turbulent flows |
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Snippet | The present work describes the multidimensional behaviour of scale-energy production, transfer and dissipation in wall-bounded turbulent flows. This approach... |
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SubjectTerms | Anisotropy Fluid mechanics Turbulent flow |
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Title | Cascades and wall-normal fluxes in turbulent channel flows |
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