dorsal/arxiv
View SchemaDrag Reduction in Homogeneous Turbulence by Scale-Dependent Effective Viscosity
| Authors | Roberto Benzi, Emily S. C. Ching, Itamar Procaccia |
|---|---|
| Categories | |
| ArXiv ID | physics/0402101 |
| URL | https://arxiv.org/abs/physics/0402101 |
| DOI | 10.1103/PhysRevE.70.026304 |
Abstract
The phenomenon of drag reduction by polymer additives had been studied in simulations on the basis of non-Newtonian fluid mechanical models that take into account the field of polymer extension (conformation tensor) and its interaction with the velocity field. Drag reduction was found in both homogeneous and wall bounded turbulent flows. In the latter case it was shown recently that the notion of scale-dependent effective viscosity allows quantitative predictions of the characteristics of drag reduction in close correspondence with experiments. In this paper we demonstrate that also drag reduction in homogeneous turbulence is usefully discussed in terms of a scale-dependent viscosity. In other words, the essence of the phenomena under study can be recaptured by an "equivalent" equation of motion for the velocity field alone, with a judiciously chosen scale-dependent effective viscosity that succinctly summarizes the important aspects of the interaction between the polymer conformation tensor field and the velocity field. We will also clarify here the differences between drag reduction in homogeneous and wall bounded flows.
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"abstract": "The phenomenon of drag reduction by polymer additives had been studied in\nsimulations on the basis of non-Newtonian fluid mechanical models that take\ninto account the field of polymer extension (conformation tensor) and its\ninteraction with the velocity field. Drag reduction was found in both\nhomogeneous and wall bounded turbulent flows. In the latter case it was shown\nrecently that the notion of scale-dependent effective viscosity allows\nquantitative predictions of the characteristics of drag reduction in close\ncorrespondence with experiments. In this paper we demonstrate that also drag\nreduction in homogeneous turbulence is usefully discussed in terms of a\nscale-dependent viscosity. In other words, the essence of the phenomena under\nstudy can be recaptured by an \"equivalent\" equation of motion for the velocity\nfield alone, with a judiciously chosen scale-dependent effective viscosity that\nsuccinctly summarizes the important aspects of the interaction between the\npolymer conformation tensor field and the velocity field. We will also clarify\nhere the differences between drag reduction in homogeneous and wall bounded\nflows.",
"arxiv_id": "physics/0402101",
"authors": [
"Roberto Benzi",
"Emily S. C. Ching",
"Itamar Procaccia"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1103/PhysRevE.70.026304",
"title": "Drag Reduction in Homogeneous Turbulence by Scale-Dependent Effective Viscosity",
"url": "https://arxiv.org/abs/physics/0402101"
},
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