Skip to main content
SpringerLink
Log in

Wave-induced boundary layers in a rotating homogeneous fluid

  • Published:
Journal of Oceanography Aims and scope Submit manuscript

Abstract

The structure of the Eulerian streaming induced by inertial standing waves over a flat plate perpendicular to the rotating axis is investigated by using the matched asymptotic technique. It is shown that the Eulerian streaming driven by the divergence of the Reynolds stress in the Stokes layer vanishes outside the Stokes and the Ekman layer due to the role of Coriolis force.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Reference

  • Abbott, M. R. (1960): Boundary layer effects in estuaries. J. Mar. Res.,18, 83–100.

    Google Scholar 

  • Greenspan, H. P. (1969): The Theory of Rotating Fluids. Cambridge University Press, Cambridge, 328pp.

    Google Scholar 

  • Hunt, J. N. (1961): Oscillations in a viscous liquid with an application to tidal motion. Tellus,13, 79–84.

    Article  Google Scholar 

  • Hunt, J. N. andB. Johns (1963): Currents induced by tides and gravity waves. Tellus,15, 343–351.

    Article  Google Scholar 

  • Kelly, R. E. (1970): Wave-induced boundary layers in a stratified fluid. J. Fluid Mech.,42, 139–150.

    Article  Google Scholar 

  • Longuet-Higgins, M. S. (1953): Mass transport in water waves. Phil. Trans. Roy. Soc.,245, 535–581.

    Article  Google Scholar 

  • Rayleigh, Lord (1883): On the circulation of air obserbed inKundt's tubes, and on some allied acoustical problems. Phil. Trans. A,175, 1–21.

    Article  Google Scholar 

  • Riley, N. (1965): Oscillating viscous flows. Mathematika,12, 161–175.

    Article  Google Scholar 

  • Riley, N. (1967): Oscillatory viscous flows. Review and Extension. J. Inst. Maths. Applics.,3, 419–434.

    Article  Google Scholar 

  • Schlichting, H. (1932): Berechnung ebener periodischer Grenzchicht strömungen. Phys. Zeit.,33, 327–335.

    Google Scholar 

  • Stuart, J. T. (1963): Chapter VII. Unsteady boundary layers.In, Laminar Boundary Layers, ed. byL. Rosenhead, Oxford University Press, Oxford, pp. 349–408.

    Google Scholar 

  • Stuart, J. T. (1966): Double boundary layers in oscillatory viscous flow. J. Fluid Mech.,24, 637–687.

    Article  Google Scholar 

  • Thorpe, S. A. (1968a): On standing internal gravity waves of finite amplitude. J. Fluid Mech.,32, 489–528.

    Article  Google Scholar 

  • Thorpe, S. A. (1968b): On the shape of progressive internal waves. Phil. Trans. Roy. Soc. A,263, 563–614.

    Article  Google Scholar 

  • Veronis, G. (1967): Analogous behavior of homogeneous rotating fluids and stratified, non rotating fluids. Tellus,19, 326–336.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Research Institute for Applied Mechanics, Kyushu University, Hakozaki 6-10-1, Higashi-ku, 812, Fukuoka, Japan

    Toshio Yamagata

Authors
  1. Toshio Yamagata
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yamagata, T. Wave-induced boundary layers in a rotating homogeneous fluid. Journal of the Oceanographical Society of Japan 34, 97–104 (1978). https://doi.org/10.1007/BF02109259

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02109259

Keywords

Search

Navigation