Hostname: page-component-5c6d5d7d68-pkt8n Total loading time: 0 Render date: 2024-08-08T00:45:58.272Z Has data issue: false hasContentIssue false
  • English
  • Français

Forces on bodies moving transversely through a rotating fluid

Published online by Cambridge University Press:  29 March 2006

P. J. Mason
P. J. Mason
Affiliation:
Geophysical Fluid Dynamics Laboratory, Meteorological Office, Bracknell, Berkshire, England
Get access Rights & Permissions [Opens in a new window]

Abstract

Measurements have been made of the net force F acting on a bluff rigid body moving with velocity U (relative to a fluid rotating about a vertical axis with uniform angular velocity Ω) in a plane perpendicular to the axis of rotation. The force F is of magnitude 2ΩρVU, where ρ is the density of the fluid and V is a volume which depends on the size and shape of the body. The relative direction of F and U is found to depend on the quantity \[ {\cal S}\equiv \frac{2\Omega L}{U}\bigg(\frac{h}{D}\bigg), \] where L and h are horizontal and vertical lengths characterizing the object and D is the depth of the fluid in which the object is placed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 71 , Issue 3 , 14 October 1975 , pp. 577 - 599
Copyright
© 1975 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Davies, P. A. 1972 Experiments on Taylor columns in rotating stratified fluids. J. Fluid Mech. 54, 691–717.Google Scholar
Grace, S. F. 1926 On the motion of a sphere in a rotating liquid. Proc. Roy. Soc. A 113, 46–77.Google Scholar
Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
Hide, R. 1961 Origin of Jupiter's great Red Spot. Nature, 190, 213–218.Google Scholar
Hide, R. & Ibbetson, A. 1966 An experimental study of ‘Taylor columns’. Icarus, 5, 279–290.Google Scholar
Hide, R., Ibbetson, A. & Lighthill, M. J. 1968 On slow transverse flow past obstacles in a rapidly rotating fluid. J. Fluid Mech. 32, 251–272.Google Scholar
Jacobs, S. J. 1964 The Taylor column problem. J. Fluid Mech. 20, 581–591.Google Scholar
Landau, L. D. & Lifshitz, E. M. 1963 Fluid Mechanics. Pergamon.
Maxworthy, T. 1970 The flow created by a sphere moving along the axis of a rotating, slightly-viscous fluid. J. Fluid Mech. 40, 453–479.Google Scholar
Moore, D. W. & Saffman, P. G. 1969 The flow induced by the transverse motion of a thin disk in its own plane through a contained rapidly rotating viscous liquid. J. Fluid Mech. 39, 831–847.CrossRefGoogle Scholar
Proudman, J. 1916 On the motions of solids in a liquid possessing vorticity. Proc. Roy. Soc. A 92, 408–424.Google Scholar
Stewartson, K. 1953 On the slow motion of an ellipsoid in a rotating fluid. Quart. J. Mech. Appl. Math. 6, 141–162.Google Scholar
Stewartson, K. 1954 On the free motion of an ellipsoid in a rotating fluid. Quart. J. Mech. Appl. Math. 7, 231–246.Google Scholar
Stewartson, K. 1957 On almost rigid rotation. J. Fluid Mech. 3, 17–26.Google Scholar
Stewartson, K. 1967 On slow transverse motion of a sphere through a rotating fluid. J. Fluid Mech. 30, 357–369.Google Scholar
Tatro, P. R. & Mollo-Christensen, E. L. 1967 Experiments on Ekman layer instability. J. Fluid Mech. 28, 531–544.Google Scholar
Taylor, G. I. 1923 Experiments on the motion of solid bodies in rotating fluids. Proc. Roy. Soc. A 104, 213–218.Google Scholar
Vaziri, A. & Boyer, D. C. 1971 Rotating flow over shallow topographies. J. Fluid Mech. 50, 79–95.Google Scholar
Wilcox, D. C. 1972 The motion of a plate in a rotating fluid at an arbitrary angle of attack. J. Fluid Mech. 56, 221–249.Google Scholar