Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-28T07:21:11.709Z Has data issue: false hasContentIssue false

Rotating flow past disks and cylindrical depressions

Published online by Cambridge University Press:  20 April 2006

Don L. Boyer
Affiliation:
Department of Mechanical Engineering, University of Wyoming, Laramie, Wyoming 82071, USA
Peter A. Davies
Affiliation:
Department of Civil Engineering, The University, Dundee DD1 4HH, UK
William R. Holland
Affiliation:
National Center for Atmospheric Research, P.O. Box 3000, Boulder, Colorado 80307, USA

Abstract

The flow of a rotating fluid over isolated three-dimensional topographic features has been investigated. Laboratory experiments have been conducted with a rotating water channel to determine the characteristics of the flow over and around truncated cylindrical disks and depressions located on the upper and lower bounding surfaces of the channel. The geometry of the rotating channel allowed the beta effect to be modelled and cases of beta-plane westward, beta-plane eastward and f-plane flows were studied. Flow patterns revealed by the use of an electrolytic precipitation technique are presented, and the flow behaviour is quantified in terms of a characteristic speed of the flow through a circular cylinder circumscribing the topography in the vicinity of the channel midplane. Case studies are presented for a range of values of Rossby number, Ekman number, beta parameter, and cylinder height-to-radius ratio. The vorticity equation and associated boundary conditions are discussed for the cases studied in the laboratory and appropriate numerical solutions are obtained. The laboratory and numerical experiments demonstrate the character of the horizontal steering of fluid by the topographic features as a function of the system parameters. Comparisons between laboratory and numerical experiments are presented and shown to be in good agreement.

Type
Research Article
Copyright
© 1984 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

Arakawa, A. 1966 Computational design for long term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I. J. Comp. Phys. 1, 119143.Google Scholar
Boyer, D. L. & Davies, P. A. 1982 Flow past a circular cylinder on a beta-plane. Phil. Trans. R. Soc. Lond. A 306, 533556.Google Scholar
Holland, W. R. 1978 The role of mesoscale eddies in the general circulation of the ocean: numerical experiments using a wind-driven quasi-geostrophic model. J. Phys. Oceanogr. 8, 363392.Google Scholar
Pedlosky, J. 1979 Geophysical Fluid Dynamics. Springer.
Stevenson, J. W. & Janowitz, G. S. 1977 The effect of Ekman suction on a flow over a shallow topography in the beta-plane. Dyn. Atmos. Oceans 1, 225239.Google Scholar