Hostname: page-component-7479d7b7d-8zxtt Total loading time: 0 Render date: 2024-07-13T22:30:47.851Z Has data issue: false hasContentIssue false
  • English
  • Français

Diurnal tides and shear instabilities in a rotating cylinder

Published online by Cambridge University Press:  29 March 2006

Rory Thompson
Rory Thompson
Affiliation:
Department of Atmospheric Sciences, Oregon State University, Corvallis
Get access Rights & Permissions [Opens in a new window]

Abstract

Any slight tilt or tide on the fluid in a rotating cylinder causes periodic motions, whose radiation pressures in the viscous boundary layers force mean differential rotations of the fluid, which are found numerically. At certain fluid depths, even very small tilts can cause shears large enough for perturbations to overcome Ekman friction, causing turbulence. An experiment confirms the theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 40 , Issue 4 , 9 March 1970 , pp. 737 - 751
Copyright
© 1970 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

Aldridge, K. D. 1967 An experimental study of axisymmetric inertial oscillations of a rotating liquid sphere. Ph.D. Thesis, Massachusetts Institute of Technology.
Abramowitz, M. & Stegun, T. A. 1965 Handbook of Mathematical Functions. Washington, D.C.: National Bureau of Standards.
Baines, P. G. 1967 Forced oscillations of an enclosed rotating fluid. J. Fluid Mech. 30, 533–46.Google Scholar
Busse, F. H. 1968 Shear flow instabilities in rotating systems. J. Fluid. Mech. 33, 577–89.Google Scholar
Crow, S. 1965 Geophysical fluid dynamics participants lectures. Woods Hole Oceanographic Institution 21.
Fultz, D. 1965 Talk at midwestern mechanics conference.
Fultz, D., Long, R. R., Owens, G. V., Bohan, W., Kaylor, R. & Weil, J. 1959 Studies of Thermal Convection in a Rotating Cylinder with some Implications for Large-Scale Atmospheric Motions. Boston, Mass.: Amer. Meteor. Soc.
Gans, R. 1969 On the precession of a resonant cylinder. J. Fluid Mech. (submitted).Google Scholar
Greenspan, H. P. 1969 On the non-linear interaction of inertial modes. J. Fluid Mech. 36, 257–64.Google Scholar
Howard, L. N. 1961 A note on a paper by John W. Miles. J. Fluid Mech. 10, 509–12.Google Scholar
Howard, L. N. 1968 Geophysical fluid dynamics lecture notes. Woods Hole Oceanographic Institution.
Ibbetson, A. & Frazel, R. E. 1965 The construction of a one metre diameter rotating table. W.H.O.I. ref. no. 65–41.
McDonald, B. E. & Dicke, R. H. 1967 Solar oblateness and fluid spin-down. Science, 158, 1562–4.Google Scholar
Stewartson, K. 1957 On rotating laminar boundary layers. Freiburg Symposium Boundary Layer Research, pp. 59–71.Google Scholar