Axisymmetric rotating flow with free surface in a cylindrical tank

The flow induced by a disk rotating at the bottom of a cylindrical tank is characterised using numerical techniques – computation of steady solutions or time-averaged two-dimensional and three-dimensional direct simulations – as well as laser-Doppler velocimetry measurements. Axisymmetric steady sol...

Full description

Saved in:
Bibliographic Details
Published in:Journal of fluid mechanics 2019-02, Vol.861, p.796-814
Main Authors: Yang, Wen, Delbende, Ivan, Fraigneau, Yann, Martin Witkowski, Laurent
Format: Article
Language:English
Subjects:
Aspect ratio
Axisymmetric flow
Computation
Computational fluid dynamics
Computer simulation
Cylindrical tanks
Deformation
Doppler sonar
Experiments
Flow
Fluid flow
Fluid mechanics
Free surfaces
Frequency spectra
Frequency spectrum
Froude number
High Reynolds number
JFM Papers
Lasers
Mathematical models
Mechanics
Physics
Ratios
Reynolds number
Rotating bodies
Rotating disks
Rotation
Simulation
Solutions
Velocimetry
Velocity
Velocity distribution
Velocity measurement
Velocity profiles
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The flow induced by a disk rotating at the bottom of a cylindrical tank is characterised using numerical techniques – computation of steady solutions or time-averaged two-dimensional and three-dimensional direct simulations – as well as laser-Doppler velocimetry measurements. Axisymmetric steady solutions reveal the structure of the toroidal flow located at the periphery of the central solid body rotation region. When viewed in a meridional plane, this flow cell is found to be bordered by four layers, two at the solid boundaries, one at the free surface and one located at the edge of the central region, which possesses a sinuous shape. The cell intensity and geometry are determined for several fluid-layer aspect ratios; the flow is shown to depend very weakly on Froude number (associated with surface deformation) or on Reynolds number if sufficiently large. The paper then focuses on the high Reynolds number regime for which the flow has become unsteady and three-dimensional while the surface is still almost flat. Direct numerical simulations show that the averaged flow shares many similarities with the above steady axisymmetric solutions. Experimental measurements corroborate most of the numerical results and also allow for the spatio-temporal characterisation of the fluctuations, in particular the azimuthal structure and frequency spectrum. Mean azimuthal velocity profiles obtained in this transitional regime are eventually compared to existing theoretical models.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2018.929