The interaction of a vortex with a stationary surface was studied both theoretically and experimentally. The flow field examined was that produced by radially inward flow through a pair of concentric rotating porous cylinders that were perpendicular to, and in contact with, a stationary flat plane. The complete Navier-Stokes equations were solved over a range of tangential Reynolds numbers from 0–300 and a range of radial Reynolds numbers from 0 to −13, the minus sign indicating radially inward flow. In order to facilitate the solution, the original equations were recast in terms of a dimensionless stream function, vorticity, and third variable related to the tangential velocity. The general validity of the numerical technique was demonstrated by the agreement between the theoretical and experimental results. Examination of the numerical results over a wide range of parameters showed that the entire flow field is very sensitive to the amount of radial flow, especially at the transition from zero radial flow to some finite value.
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December 1969
Research Papers
A Theoretical and Experimental Study of Confined Vortex Flow
G. J. Farris,
G. J. Farris
Computing Technology Center, Union Carbide Corporation, Nuclear Division, Oak Ridge, Tenn.
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G. J. Kidd, Jr.,
G. J. Kidd, Jr.
Oak Ridge National Laboratory, Union Carbide Corporation, Nuclear Division, Oak Ridge, Tenn.
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D. W. Lick,
D. W. Lick
Computing Technology Center, Union Carbide Corporation, Nuclear Division, Oak Ridge, Tenn.
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R. E. Textor
R. E. Textor
Computing Technology Center, Union Carbide Corporation, Nuclear Division, Oak Ridge, Tenn.
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G. J. Farris
Computing Technology Center, Union Carbide Corporation, Nuclear Division, Oak Ridge, Tenn.
G. J. Kidd, Jr.
Oak Ridge National Laboratory, Union Carbide Corporation, Nuclear Division, Oak Ridge, Tenn.
D. W. Lick
Computing Technology Center, Union Carbide Corporation, Nuclear Division, Oak Ridge, Tenn.
R. E. Textor
Computing Technology Center, Union Carbide Corporation, Nuclear Division, Oak Ridge, Tenn.
J. Appl. Mech. Dec 1969, 36(4): 687-692 (6 pages)
Published Online: December 1, 1969
Article history
Received:
December 9, 1968
Revised:
March 10, 1969
Online:
September 14, 2011
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A commentary has been published:
Discussion: “A Theoretical and Experimental Study of Confined Vortex Flow” (Farris, G. J., Kidd, Jr., G. J., Lick, D. W., and Textor, R. E., 1969, ASME J. Appl. Mech., 36, pp. 687–692)
A commentary has been published:
Discussion: “A Theoretical and Experimental Study of Confined Vortex Flow” (Farris, G. J., Kidd, Jr., G. J., Lick, D. W., and Textor, R. E., 1969, ASME J. Appl. Mech., 36, pp. 687–692)
Citation
Farris, G. J., Kidd, G. J., Jr., Lick, D. W., and Textor, R. E. (December 1, 1969). "A Theoretical and Experimental Study of Confined Vortex Flow." ASME. J. Appl. Mech. December 1969; 36(4): 687–692. https://doi.org/10.1115/1.3564757
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