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TECHNICAL PAPERS

Stability of the Base Flow to Axisymmetric and Plane-Polar Disturbances in an Electrically Driven Flow Between Infinitely-Long, Concentric Cylinders

[+] Author and Article Information
J. Liu, G. Talmage

Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, University Park, PA 16802-1412

J. S. Walker

Department of Mechanical and Industrial Engineering, The University of Illinois, Urbana, IL 61801

J. Fluids Eng 123(1), 31-42 (Sep 07, 2000) (12 pages) doi:10.1115/1.1335497 History: Received March 06, 2000; Revised September 07, 2000
Copyright © 2001 by ASME
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References

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Talmage,  G., Mazumder,  S., Brown,  S. H., and Sondergaard,  N. A., 1995, “Viscous and Joulean power losses in liquid-metal sliding electrical contacts with finite electrically conducting electrodes,” IEEE Transactions on Energy Conversion, 10, No. 4, pp. 634–644.
Drazin, P. G., and Reid, W. H. 1991, Hydrodynamic Stability, Cambridge University Press.
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Figures

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Schematic of the electrically driven flow problem
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(a) Normalized base flow azimuthal velocity versus the normalized radial coordinate; (b) normalized gradient of the base flow angular momentum versus the normalized radial coordinate
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Neutral stability curve for Ha=0.025 and R=4.0
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Wave number as a function of ln (Ha) for R=4.0
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Neutral stability curve for Ha=28.5 and R=4.0
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Neutral stability curve for Ha=28.75 and R=4.0
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Neutral stability curve for Ha=29 and R=4.0
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Stream lines for Ha=3.162 and R=0.25. The contour interval for the right cell is 0.37, with the maximum occurring at the center of the cell. The contour interval for the left cell is 0.1, with the absolute maximum value occurring at the center of the cell.
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Amplitude of the radial disturbance velocity as a function of the normalized radial coordinate for Ha=3.162 and R=0.25
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Stream lines for Ha=31.62 and R=0.25. The contour interval is 0.44.
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Amplitude of the radial disturbance velocity as a function of the normalized radial coordinate for Ha=31.62 and R=0.25
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Imaginary portion of the eigenvalue as a function of Re for n=10.0 and R=1/9

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