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Properties of inviscid, recirculating flows

Published online by Cambridge University Press:  28 March 2006

W. W. Wood
W. W. Wood
Affiliation:
Aeronautical Research Laboratories, Fishermen's Bend, Victoria, Australia
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Abstract

Integral relations are derived for steady, incompressible recirculating motions with small viscous forces. The circuit time of a fluid particle on a closed streamline in steady, inviscid flow is shown to be the same for all the closed streamlines on a surface of constant total head.

The discontinuities of velocity and velocity gradient that occur in the motion of inviscid fluid filling a closed, rotating cylinder set in a rotating support with the two rotation axes slightly misaligned are then investigated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 22 , Issue 2 , June 1965 , pp. 337 - 346
Copyright
© 1965 Cambridge University Press

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References

Batchelor, G. K. 1951 Quart. J. Mech. Appl. Math. 4, 29.
Batchelor, G. K. 1956 J. Fluid Mech. 1, 177.
Bjerknes, V., Bjerknes, J., Solberg, H. & Bergeron, T. 1933 Physikalische Hydrodynamik. Berlin: Springer.
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
Fultz, D. 1959 J. Meteorology, 16, 199.
Kelvin, Lord 1880 Phil. Mag. 10, 155.
Maull, D. J. & East, L. F. 1963 J. Fluid Mech. 16, 620.
Proudman, I. 1956 J. Fluid Mech. 1, 505.
Truesdell, C. 1954 The Kinematics of Vorticity. Indiana University Press.