An Alternating Magnetic Field Driven Flow in a Spinning Cylindrical Container

Author:

Shatrov Victor1,Gerbeth Gunter1,Hermann Regina2

Affiliation:

1. Forschungszentrum Dresden-Rossendorf, P.O. Box 510119, D-01314 Dresden, Germany

2. Leibniz Institute for Solid State and Materials Research (IFW) Dresden, Helmholtzstrasse 20, D-01069 Dresden, Germany

Abstract

This paper presents a numerical analysis of the free surface liquid metal flow driven by an alternating current magnetic field in a spinning cylindrical container. The axisymmetric flow structure is analyzed for various values of the magnetohydrodynamic interaction parameter and Ekman numbers. The governing hydrodynamic equations are solved by a spectral collocation method, and the alternating magnetic field distribution is found by a boundary-integral method. The electromagnetic and hydrodynamic fields are fully coupled via the shape of the liquid free surface. It is found that the container rotation may reduce the meridional flow significantly.

Publisher

ASME International

Subject

Mechanical Engineering

Reference17 articles.

1. Symmetry Breaking in Free-Surface Cylinder Flows;Lopez;J. Fluid Mech.

2. A Note on Liquid Vortex Sloshing and Kelvin’s Equilibria;Vatistas;J. Fluid Mech.

3. Surface Switching of Rotating Fluid in a Cylinder;Suzuki;Phys. Fluids

4. Three-Dimensional Instability of Axisymmetric Flow in a Rotating Lid-Cylinder Enclosure;Gelfgat;J. Fluid Mech.

5. Numerical Simulation of MHD Flow Induced by Rotating Magnetic Field in Cylindrical Container of Finite Length;Gelfgat

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