Response of a two-layer ocean with a baroclinic current to a moving storm, part II

Non-geostrophic baroclinic mode
  • Takashi Ichiye
Article
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Abstract

A circular storm moves with a constant speedc along a geostrophic flow similar to a western boundary current in the upper layer of a two-layer ocean with the motionless lower layer. The linear inertia terms are retained. Effects of the current becomes more conspicuous for smallerc and insignificant forc above 10 m s−1. The inertia effects are manifested in cellular patterns of the interface perturbations with cell lengths ofπ(c−vf−1 in a wake of the storm with a radius of an order of 100 km, wherev is the current velocity. On the left hand edge where the flow has a strong shear, the interface displacements have large amplitudes which increase with a distance along the path in a wake of the storm. These disturbances propagate to the left of the edge within an angle of cot−1 (c2/gεH0−1), where is the reduced gravity andH0 is the depth of the interface at the edge of the current. Comparison with the observations during Typhoon Trix in 1971 south of Japan suggests that fluctuations of the daily mean sea level with several days' periods observed along the southern coast of Japan may be due to the stationary oscillations of the Kuroshio caused by the inertia undulations along its left edge or due to the propagating perturbations to the left.

Keywords

Current Velocity Western Boundary Inertia Effect Southern Coast Boundary Current 

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References

  1. Carrier, G.F. (1953): Boundary layer problem in applied mechanics.In, Advances in Applied Mechanics, Vol. 3. Academic Press, N.Y., pp. 1–19.Google Scholar
  2. Duxbury, A.C. (1963): An investigation of stable waves along a velocity shear boundary in a two-layer sea with a geostrophic flow regime. J. Mar. Res.21, 246–283.Google Scholar
  3. Erdélyi, A. (Editor) (1954): Tables of Integral Transforms, Vol. I. McGraw-Hill Co., N.Y., 391 pp.Google Scholar
  4. Ichiye, T. (1955): On the variation of oceanic circulation (V). Geophys. Mag. (Tokyo),26, 283–342.Google Scholar
  5. Ichiye, T. (1974): Response of a western current for a moving storm (Abstract). EOS,55, 281.Google Scholar
  6. Ichiye, T. (1976): Response of a two-layer ocean with a baroclinic current to a moving storm, Part I—Quasi-geostrophic baroclinic motion. J. Oceanogr. Soc. Japan,33, 151–160.Google Scholar
  7. Kaplan, W. (1962): Operational Methods for Linear Systems. Addison-Wesley Publ. Co., Reading, Mass., 577 pp.Google Scholar
  8. McLachlan, N. W. (1963): Complex Variable Theory and Transform Calculus. (2nd ed.), Cambridge Univ. Press, Cambridge, England, 388 pp.Google Scholar
  9. Meteorology Handbook (1959): ed. by Edit. Comm. Meteorology Handbook, Gihodo, Tokyo, 1321 pp. (in Japanese)Google Scholar
  10. Yoshida, K., D. Shoji andJ. Masuzawa (1972): A possible interaction between the storm tides and the Kuroshio — A speculation on the recent floods. Rec. Oceanogr. Works in Japan,11, 47–51.Google Scholar

Copyright information

© Oceanographical Society of Japan 1977

Authors and Affiliations

  • Takashi Ichiye
    • 1
  1. 1.Department of OceanographyTexas A & M UniversityCollege StationUSA

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