Skip to main content
Log in

On the generation of sea waves by a turbulent wind

  • Published:
Boundary-Layer Meteorology Aims and scope Submit manuscript

Abstract

Miles' (1957) theory of wave generation is modified to include the effects of air turbulence. It is shown that the fluctuating wave-induced Reynolds stresses are important only within a critical layer surrounding the critical height where the mean wind speed matches the wave phase speed. When the critical height is such that the critical layer extends to the air-sea interface, the energy transfer from the wind to the wave is affected greatly by the turbulence.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Anisimova, E. P., Kononkova, G. E., Kuznetsov, W. W., Orlov, A. S., Popov, G. I., and Speranskaja, A. A.: 1971, ‘Generation of Wind Waves and Velocity Field Structure in the Air over a Wavy Water Surface’,IUGG-IAPSO Air-Sea Interaction Symposium, Moscow.

  • Cole, J. D.: 1968,Perturbation Methods in Applied Mathematics, Blaisdell, Waltham, Mass.

    Google Scholar 

  • Dobson, F. W.: 1969,Observation of Normal Pressure on Wind-Generated Sea Waves, Ph.D. Thesis, University of British Columbia.

  • Holstein, H.: 1950, ‘Über die äussere und innere Reibungsschicht bei Störungen laminar Strömungen’,Z. Angew. Math. Mech. 30, 25.

    Google Scholar 

  • Lin, C. C.: 1945, ‘On the Stability of Two-Dimensional Parallel Flows’, Parts I, II, III,Quart. Appl. Math. 3, 117, 218, 277.

    Google Scholar 

  • Lin, C. C.: 1955,The Theory of Hydrodynamic Stability, Cambridge University Press.

  • Manton, M. J.: 1970,Theoretical Studies of the Generation of Surface Waves and the Propagation of Internal Waves in the Sea, Ph.D. Thesis, University of British Columbia.

  • Miles, J. W.: 1957, ‘On the Generation of Surface Waves by Shear Flows’,J. Fluid Mech. 3, 185.

    Google Scholar 

  • Miyake, M., Donelan, M., McBean, G., Paulson, C., Badgley, F., and Leavitt, E.: 1970, ‘Comparison of Turbulent Fluxes over Water Determined by Profile and Eddy Correlation Techniques’,Quart. J. Roy. Meteorol. Soc. 96, 132.

    Google Scholar 

  • Phillips, O. M.: 1966,The Dynamics of the Upper Ocean, Cambridge University Press.

  • Rotta, J.: 1951, ‘Statistische Theorie nichthomogener Turbulenz’,Z. Physik 129, 547.

    Article  Google Scholar 

  • Stewart, R. W.: 1961, ‘The Wave Drag of Wind over Water’,J. Fluid Mech. 10, 189.

    Google Scholar 

  • Stewart, R. W.: 1967, ‘Mechanics of the Air-Sea Interface’,Phys. Fluids Suppl., S47.

  • Tollmien, W.: 1929, ‘Über die Entstehung der Turbulenz’,Nachr. Ges. Wiss. Göttingen, Math.-Phys. Klasse, 21.

  • Wasow, W.: 1958, ‘The Complex Asymptotic Theory of a Fourth Order Differential Equation of Hydrodynamics’,Ann. Math. 49, 852.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Manton, M.J. On the generation of sea waves by a turbulent wind. Boundary-Layer Meteorol 2, 348–364 (1972). https://doi.org/10.1007/BF02184775

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02184775

Keywords

Navigation