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The vortical flow above the drain-hole in a rotating vessel

Published online by Cambridge University Press:  20 April 2006

T. S. Lundgren
Affiliation:
Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, Minnesota 55455

Abstract

The problem of slow draining of incompressible fluid from a rotating cylindrical vessel is considered. Transient effects, internal viscosity, boundary friction and finite cylindrical boundaries are included. In addition a tornado model formulated by Turner is solved and compared with some experiments on rotating turbulence of Hopfinger, Browand & Gagne.

Type
Research Article
Copyright
© 1985 Cambridge University Press

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References

da Andrade, E. N. C. 1963 Whirlpools, vortices and bathtubs. New Scientist 325, 302.Google Scholar
Bengtsson, L. & Lighthill, J. 1982 Intense Atmospheric Vortices. Springer-Verlag.
Burgers, J. M. 1948 Adv. Appl. Mech. 1, 198.
Einstein, H. A. & Li, H. L. 1951 In Proc. Heat Transfer and Fluid Mechanics Inst., Stanford University 4, p. 33.
Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
Hopfinger, E. J. & Browand, F. K. 1982 In Intense Atmospheric Vortices. (ed. L. Bengtsson & J. Lighthill), p. 285. Springer-Verlag.
Hopfinger, E. J., Browand, F. K. & Gagne, Y. 1982 J. Fluid Mech. 125, 505.
Lewellen, W. S. 1962 J. Fluid Mech. 14, 420.
Maxworthy, T. 1982 In Intense Atmospheric Vortices (ed. L. Bengtsson & J. Lighthill), p. 229. Springer-Verlag.
Rogers, M. H. & Lance, G. N. 1960 J. Fluid Mech. 7, 617.
Rott, N. 1958 J. Appl. Math. Phys. (Z. angew. Math. Phys.) 9, 543.
Turner, J. S. 1966 J. Fluid Mech. 25, 377.
Wedemeyer, E. H. 1964 J. Fluid Mech. 20, 383.