dorsal/arxiv
View SchemaTurbulence characteristics of the B\"{o}dewadt layer in a large enclosed rotor-stator system
| Authors | Anthony Randriamampianina, Sébastien Poncet |
|---|---|
| Categories | |
| ArXiv ID | physics/0607097 |
| URL | https://arxiv.org/abs/physics/0607097 |
| DOI | 10.1063/1.2204049 |
| Journal | Physics of Fluids 18, num. 5 (2006) Art. 055104 |
Abstract
A three-dimensional (3D) direct numerical simulation is combined with a laboratory study to describe the turbulent flow in an enclosed annular rotor-stator cavity characterized by a large aspect ratio G=(b-a)/h=18.32 and a small radius ratio a/b=0.152, where a and b are the inner and outer radii of the rotating disk and h is the interdisk spacing. The rotation rate Omega under consideration is equivalent to the rotational Reynolds number Re=Omegab2/nu=9.5 x 104, where nu is the kinematic viscosity of the fluid. This corresponds to a value at which an experiment carried out at the laboratory has shown that the stator boundary layer is turbulent, whereas the rotor boundary layer is still laminar. Comparisons of the 3D computed solution with velocity measurements have given good agreement for the mean and turbulent fields. The results enhance evidence of weak turbulence at this Reynolds number, by comparing the turbulence properties with available data in the literature. An approximately self-similar boundary layer behavior is observed along the stator side. The reduction of the structural parameter a1 under the typical value 0.15 and the variation in the wall-normal direction of the different characteristic angles show that this boundary layer is three-dimensional. A quadrant analysis of conditionally averaged velocities is performed to identify the contributions of different events (ejections and sweeps) on the Reynolds shear stress producing vortical structures. The asymmetries observed in the conditionally averaged quadrant analysis are dominated by Reynolds stress-producing events in this B\"{o}dewadt layer. Moreover, case 1 vortices (with a positive wall induced velocity) are found to be the major source of generation of special strong events, in agreement with the conclusions of Lygren and Andersson.
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"abstract": "A three-dimensional (3D) direct numerical simulation is combined with a\nlaboratory study to describe the turbulent flow in an enclosed annular\nrotor-stator cavity characterized by a large aspect ratio G=(b-a)/h=18.32 and a\nsmall radius ratio a/b=0.152, where a and b are the inner and outer radii of\nthe rotating disk and h is the interdisk spacing. The rotation rate Omega under\nconsideration is equivalent to the rotational Reynolds number Re=Omegab2/nu=9.5\nx 104, where nu is the kinematic viscosity of the fluid. This corresponds to a\nvalue at which an experiment carried out at the laboratory has shown that the\nstator boundary layer is turbulent, whereas the rotor boundary layer is still\nlaminar. Comparisons of the 3D computed solution with velocity measurements\nhave given good agreement for the mean and turbulent fields. The results\nenhance evidence of weak turbulence at this Reynolds number, by comparing the\nturbulence properties with available data in the literature. An approximately\nself-similar boundary layer behavior is observed along the stator side. The\nreduction of the structural parameter a1 under the typical value 0.15 and the\nvariation in the wall-normal direction of the different characteristic angles\nshow that this boundary layer is three-dimensional. A quadrant analysis of\nconditionally averaged velocities is performed to identify the contributions of\ndifferent events (ejections and sweeps) on the Reynolds shear stress producing\nvortical structures. The asymmetries observed in the conditionally averaged\nquadrant analysis are dominated by Reynolds stress-producing events in this\nB\\\"{o}dewadt layer. Moreover, case 1 vortices (with a positive wall induced\nvelocity) are found to be the major source of generation of special strong\nevents, in agreement with the conclusions of Lygren and Andersson.",
"arxiv_id": "physics/0607097",
"authors": [
"Anthony Randriamampianina",
"S\u00e9bastien Poncet"
],
"categories": [
"physics.class-ph"
],
"doi": "10.1063/1.2204049",
"journal_ref": "Physics of Fluids 18, num. 5 (2006) Art. 055104",
"title": "Turbulence characteristics of the B\\\"{o}dewadt layer in a large enclosed rotor-stator system",
"url": "https://arxiv.org/abs/physics/0607097"
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