dorsal/arxiv
View SchemaElastic turbulence in von Karman swirling flow between two disks
| Authors | Teodor Burghelea, Enrico Segre, Victor Steinberg |
|---|---|
| Categories | |
| ArXiv ID | physics/0609112 |
| URL | https://arxiv.org/abs/physics/0609112 |
| DOI | 10.1063/1.2732234 |
Abstract
We discuss the role of elastic stress in the statistical properties of elastic turbulence, realized by the flow of a polymer solution between two disks. The dynamics of the elastic stress are analogous to those of a small scale fast dynamo in magnetohydrodynamics, and to those of the turbulent advection of a passive scalar in the Batchelor regime. Both systems are theoretically studied in literature, and this analogy is exploited to explain the statistical properties, the flow structure, and the scaling observed experimentally. Several features of elastic turbulence are confirmed experimentally and presented in this paper: (i) saturation of the rms of the vorticity and of velocity gradients in the bulk, leading to the saturation of the elastic stress; (ii) large rms of the velocity gradients in the boundary layer, linearly growth with Wi; (iii) skewed PDFs of the injected power, with exponential tails, which indicate intermittency; PDF of the acceleration exhibit well-pronounced exponential tails too; (iv) a new length scale, i.e the thickness of the boundary layer, as measured from the profile of the rms of the velocity gradient, is found to be relevant and much smaller than the vessel size; (v) the scaling of the structure functions of the vorticity, velocity gradients, and injected power is found to be the same as that of a passive scalar advected by an elastic turbulent velocity field.
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"abstract": "We discuss the role of elastic stress in the statistical properties of\nelastic turbulence, realized by the flow of a polymer solution between two\ndisks. The dynamics of the elastic stress are analogous to those of a small\nscale fast dynamo in magnetohydrodynamics, and to those of the turbulent\nadvection of a passive scalar in the Batchelor regime. Both systems are\ntheoretically studied in literature, and this analogy is exploited to explain\nthe statistical properties, the flow structure, and the scaling observed\nexperimentally. Several features of elastic turbulence are confirmed\nexperimentally and presented in this paper: (i) saturation of the rms of the\nvorticity and of velocity gradients in the bulk, leading to the saturation of\nthe elastic stress; (ii) large rms of the velocity gradients in the boundary\nlayer, linearly growth with Wi; (iii) skewed PDFs of the injected power, with\nexponential tails, which indicate intermittency; PDF of the acceleration\nexhibit well-pronounced exponential tails too; (iv) a new length scale, i.e the\nthickness of the boundary layer, as measured from the profile of the rms of the\nvelocity gradient, is found to be relevant and much smaller than the vessel\nsize; (v) the scaling of the structure functions of the vorticity, velocity\ngradients, and injected power is found to be the same as that of a passive\nscalar advected by an elastic turbulent velocity field.",
"arxiv_id": "physics/0609112",
"authors": [
"Teodor Burghelea",
"Enrico Segre",
"Victor Steinberg"
],
"categories": [
"physics.flu-dyn",
"nlin.CD"
],
"doi": "10.1063/1.2732234",
"title": "Elastic turbulence in von Karman swirling flow between two disks",
"url": "https://arxiv.org/abs/physics/0609112"
},
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