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Experiments on Taylor columns in rotating stratified fluids

Published online by Cambridge University Press:  29 March 2006

Peter A. Davies
Peter A. Davies
Affiliation:
School of Physics, University of Newcastle upon Tyne Present address: International Meterological Institute, University of Stockholm, Sweden.
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Abstract

Experiments have been conducted to determine the effect of density stratification upon certain characteristic features of so-called Taylor columns. The interior structure of the homogeneous Taylor column is first of all described and compared with flow patterns obtained when the fluid is stratified. Qualitative features of the horizontal and vertical motion (in particular, the attenuation with height of the distortion created by the obstacle) are then described for values of the stratification parameter S (defined as S = N/2 Ω, whereN and Ω are the Brunt-Väisälä and rotation frequencies respectively) in the range 0 [les ] S [les ] 0·24. The effect of density stratification upon, specifically, the length of the column is then described. A working definition for the existence of a Taylor column in a given experimental situation is formulated, enabling the strength of the column to be quantified at a particular height above the obstacle. Using this method the column length is measured as a function of S in the range 0 [les ] S [les ] 0·24. It is shown that even very slight stratification is sufficient to produce noticeable modification of all aspects of the flow. In particular, the column length is considerably reduced by weak stratification.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 54 , Issue 4 , 22 August 1972 , pp. 691 - 717
Copyright
© 1972 Cambridge University Press

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References

Baker, D. J. 1966 A technique for the precise measurement of small fluid velocities J. Fluid Mech. 26, 573.Google Scholar
Davies, P. A. 1971 Experiments on Taylor columns in rotating stratified fluids. Ph.D. thesis, University of Newcastle upon Tyne.
Hide, R. 1961 Origin of Jupiter's Great Red Spot Nature, 190, 895.Google Scholar
Hide, R. 1963 On the hydrodynamics of Jupiter's atmosphere. Mem. Soc. Roy. Sci. Liege, Ser V, 7, 481.Google Scholar
Hide, R. 1969 Dynamics of the atmospheres of the major planets, with an appendix on the viscous boundary layer at the rigid bounding surface of an electrically-conducting rotating fluid in the presence of a magnetic field J. Atmos. Sci. 26, 841.Google Scholar
Hide, R. 1971 On geostrophic motion of a non-homogeneous fluid J. Fluid Mech. 49, 745.Google Scholar
Hide, R. & Ibbetson, A. 1966 An experimental study of ‘Taylor columns’. Icarus, 5, 279.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.Google Scholar
Ibbetson, A. 1965 Ph.D. thesis, University of Durham.
Jacobs, S. J. 1964a The Taylor column problem J. Fluid Mech. 20, 581.Google Scholar
Jacobs, S. J. 1964b On stratified flow over bottom topography J. Mar. Res. 22, 223.Google Scholar
Lighthill, M. J. 1967 On waves generated in dispersive systems by travelling forcing effects, with applications to the dynamics of rotating fluids J. Fluid Mech. 27, 725.Google Scholar
Oster, G. 1965 Density gradients. Scientific American, no. 70.Google Scholar
Proudman, J. 1916 On the motion of solids in a liquid possessing vorticity. Proc. Roy. Soc. A 92, 408.Google Scholar
Rao, V. S. & Rao, G. V. P. 1971 On waves generated in rotating stratified liquids by travelling forcing effects J. Fluid Mech. 46, 447.Google Scholar
Robinson, A. R. 1960 On two-dimensional intertial flow in a rotating stratified fluid J. Fluid'Mech. 9, 321.Google Scholar
Stewartson, K. 1953 On the slow motion of an ellipsoid in a rotating fluid Quart. J. Mech. Appl. Math. 6, 141.Google Scholar
Stewartson, K. 1967 On slow transverse motion of a sphere through a rotating fluid J. Fluid Mech. 30, 357.Google Scholar
Stone, P. H. & Baker, D. J. 1968 Concerning the existence of Taylor columns in atmospheres Quart. J. Roy. Met. Soc. 94, 576.Google Scholar
Taylor, G. I. 1923 Experiments on the motion of solid bodies in rotating fluids. Proc. Roy. Soc. A 104, 213.Google Scholar
Vaziri, A. & Boyer, D. L. 1971 Rotating flow over shallow topographies J. Fluid Mech. 50, 79.Google Scholar
Warren, B. A. 1963 Topographic influences on the path of the Gulf Stream Tellus, 15, 167.Google Scholar
Warren, B. A. 1969 Divergence of isobaths as a cause of current branching. Deep Sea Res. 16, 339 (Fuglister Anniversary Volume).Google Scholar