dorsal/arxiv
View SchemaNonlinear traveling waves as a framework for understanding turbulent drag reduction
| Authors | Wei Li, Li Xi, Michael D. Graham |
|---|---|
| Categories | |
| ArXiv ID | physics/0601183 |
| URL | https://arxiv.org/abs/physics/0601183 |
| DOI | 10.1017/S0022112006002138 |
Abstract
Nonlinear traveling waves that are precursors to laminar-turbulent transition and capture the main structures of the turbulent buffer layer have recently been found to exist in all the canonical parallel flow geometries. We study the effect of polymer additives on these "exact coherent states" (ECS), in the plane Poiseuille geometry. Many key aspects of the turbulent drag reduction phenomenon are found, including: delay in transition to turbulence; drag reduction onset threshold; diameter and concentration effects. Furthermore, examination of the ECS existence region leads to a distinct prediction, consistent with experiments, regarding the nature of the maximum drag reduction regime. Specifically, at sufficiently high wall shear rates, viscoelasticity is found to completely suppress the normal (i.e. streamwise-vortex-dominated) dynamics of the near wall region, indicating that the maximum drag reduction regime is dominated by a distinct class of flow structures.
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"abstract": "Nonlinear traveling waves that are precursors to laminar-turbulent transition\nand capture the main structures of the turbulent buffer layer have recently\nbeen found to exist in all the canonical parallel flow geometries. We study the\neffect of polymer additives on these \"exact coherent states\" (ECS), in the\nplane Poiseuille geometry. Many key aspects of the turbulent drag reduction\nphenomenon are found, including: delay in transition to turbulence; drag\nreduction onset threshold; diameter and concentration effects. Furthermore,\nexamination of the ECS existence region leads to a distinct prediction,\nconsistent with experiments, regarding the nature of the maximum drag reduction\nregime. Specifically, at sufficiently high wall shear rates, viscoelasticity is\nfound to completely suppress the normal (i.e. streamwise-vortex-dominated)\ndynamics of the near wall region, indicating that the maximum drag reduction\nregime is dominated by a distinct class of flow structures.",
"arxiv_id": "physics/0601183",
"authors": [
"Wei Li",
"Li Xi",
"Michael D. Graham"
],
"categories": [
"physics.flu-dyn",
"nlin.CD"
],
"doi": "10.1017/S0022112006002138",
"title": "Nonlinear traveling waves as a framework for understanding turbulent drag reduction",
"url": "https://arxiv.org/abs/physics/0601183"
},
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