Summary.
A numerical and analytical study of the steady laminar flow driven by a rotating disk at the top of an enclosed cylinder, having an aspect ratio H/R equal to 1, filled with a liquid metal, and submitted to an axial magnetic field B, is presented. The governing equations in cylindrical coordinates are solved by a finite volume method. In the absence of a magnetic field, the numerical method is validated via a comparison with experimental data; the latter was found to be in good agreement with the predictions. In the presence of a magnetic field, the analytical velocity profiles under the rotating disk and on the bottom wall obtained for a high value of the magnetic interaction parameter N are in excellent agreement with those obtained by numerical simulations. The effect of the top, bottom and vertical walls' conductivity on the flow is studied and found to be an important parameter in the control of the flow.
Similar content being viewed by others
Acknowledgments.
R. Bessaïh and M. Kadja accomplished the present work while on research visits to the LEGI Laboratory (Grenoble) and the Institute for Aerospace Engineering (Dresden). The collaboration of both institutes is acknowledged.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bessaïh, R., Kadja, M., Eckert, K. et al. Numerical and analytical study of rotating flow in an enclosed cylinder under an axial magnetic field. Acta Mechanica 164, 175–188 (2003). https://doi.org/10.1007/s00707-003-0021-x
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00707-003-0021-x