A theory of magnetic fluid sloshing in a solenoidal magnetic field is developed herein. It shows that (a) the free-surface waves on a magnetic fluid are dynamically similar to the waves on an ordinary liquid in a reduced gravity field, and (b) the apparent reduction in gravity depends on the strength of the applied magnetic field. But, a deviation from true low-gravity behavior occurs whenever the Bond number (ratio of effective gravitational force to surface tension force) is much smaller than 1.0. The deviation is caused by a magnetic interaction that induces a jump in pressure across the free surface. To verify the conclusions of the theory and to evaluate the usefulness of magnetic sloshing as a low-gravity sloshing simulation, an exploratory series of tests was conducted using a magnetic-colloid liquid and a large solenoidal electromagnet. Measured slosh natural frequencies agreed well with theory, but the measured slosh damping was larger than predicted by existing correlation equations.
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February 1972
This article was originally published in
Journal of Engineering for Industry
Research Papers
Free-Surface Vibrations of a Magnetic Liquid
F. T. Dodge,
F. T. Dodge
Department of Mechanical and Aerospace Engineering, University of Tennessee, Knoxville, Tenn.
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L. R. Garza
L. R. Garza
Department of Mechanical Sciences, Southwest Research Institute, San Antonio, Texas
Search for other works by this author on:
F. T. Dodge
Department of Mechanical and Aerospace Engineering, University of Tennessee, Knoxville, Tenn.
L. R. Garza
Department of Mechanical Sciences, Southwest Research Institute, San Antonio, Texas
J. Eng. Ind. Feb 1972, 94(1): 103-108
Published Online: February 1, 1972
Article history
Received:
May 12, 1971
Online:
July 15, 2010
Citation
Dodge, F. T., and Garza, L. R. (February 1, 1972). "Free-Surface Vibrations of a Magnetic Liquid." ASME. J. Eng. Ind. February 1972; 94(1): 103–108. https://doi.org/10.1115/1.3428097
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