Torsional oscillations of a sphere in a Stokes flow
File(s)Box_Sphere_EiF6.pdf (6.85 MB)
Accepted version
Author(s)
Box, F
Thompson, AB
Mullin, T
Type
Journal Article
Abstract
The results of an experimental investigation into a sphere performing torsional oscillations in a Stokes flow are presented. A novel experimental set-up was developed, which enabled the motion of the sphere to be remotely controlled through application of an oscillatory magnetic field. The response of the sphere to the applied field was characterised in terms of the viscous, magnetic and gravitational torques acting on the sphere. A mathematical model of the system was developed, and good agreement was found between experimental, numerical and theoretical results. The flow resulting from the motion of the sphere was measured, and the fluid velocity was found to have an inverse square dependence on radial distance from the sphere. The good agreement between measurements and the analytical solutions for both fluid velocity and angular displacement of the sphere indicates that the flow may be considered Stokesian, thus providing an excellent basis for experimental and theoretical characterisation of hydrodynamic interactions between multiple oscillating spheres at low Reynolds number.
Date Issued
2015-11-12
Date Acceptance
2015-10-21
Citation
Experiments in Fluids, 2015, 56
ISSN
1432-1114
Publisher
Springer Verlag (Germany)
Journal / Book Title
Experiments in Fluids
Volume
56
Copyright Statement
The final publication is available at Springer via http://dx.doi.org/10.1007/s00348-015-2075-7
Subjects
Fluids & Plasmas
0913 Mechanical Engineering
0915 Interdisciplinary Engineering
0901 Aerospace Engineering
Publication Status
Published
Article Number
209