Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 536
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Abrashkin, A.A. and Oshmarina, O.E. 2016. Rogue wave formation under the action of quasi-stationary pressure. Communications in Nonlinear Science and Numerical Simulation, Vol. 34, p. 66.

    Buckley, Marc P. and Veron, Fabrice 2016. Structure of the Airflow above Surface Waves. Journal of Physical Oceanography, Vol. 46, Issue. 5, p. 1377.

    Bühler, Oliver Shatah, Jalal Walsh, Samuel and Zeng, Chongchun 2016. On the Wind Generation of Water Waves. Archive for Rational Mechanics and Analysis,

    Chen, Yingjian and Yu, Xiping 2016. Enhancement of wind stress evaluation method under storm conditions. Climate Dynamics,

    Dhanak, Manhar R. Duerr, Alana E.S. and VanZwieten, James H. 2016. Springer Handbook of Ocean Engineering.

    Gestrin, S. G. Gorbatenko, B. B. and Mezhonnova, A. S. 2016. Wind Instability and Interaction of Vibrations of a Thin Plate with a Magnetohydrodynamic Hypersonic Flow. Russian Physics Journal, Vol. 59, Issue. 1, p. 76.

    Kahma, Kimmo K. Donelan, Mark A. Drennan, William M. and Terray, Eugene A. 2016. Evidence of Energy and Momentum Flux from Swell to Wind. Journal of Physical Oceanography, Vol. 46, Issue. 7, p. 2143.

    Kudryavtsev, Vladimir and Chapron, Bertrand 2016. On Growth Rate of Wind Waves: Impact of Short-Scale Breaking Modulations. Journal of Physical Oceanography, Vol. 46, Issue. 1, p. 349.

    Nazarenko, Sergey and Lukaschuk, Sergei 2016. Wave Turbulence on Water Surface. Annual Review of Condensed Matter Physics, Vol. 7, Issue. 1, p. 61.

    Philippov, Alexander A. Rafikov, Roman R. and Stone, James M. 2016. SPREADING LAYERS IN ACCRETING OBJECTS: ROLE OF ACOUSTIC WAVES FOR ANGULAR MOMENTUM TRANSPORT, MIXING, AND THERMODYNAMICS. The Astrophysical Journal, Vol. 817, Issue. 1, p. 62.

    Pushkarev, Andrei and Zakharov, Vladimir 2016. Limited fetch revisited: Comparison of wind input terms, in surface wave modeling. Ocean Modelling, Vol. 103, p. 18.

    Randoux, Stéphane Walczak, Pierre Onorato, Miguel and Suret, Pierre 2016. Nonlinear random optical waves: Integrable turbulence, rogue waves and intermittency. Physica D: Nonlinear Phenomena, Vol. 333, p. 323.

    Resio, Donald T. Vincent, Linwood and Ardag, Dorukhan 2016. Characteristics of directional wave spectra and implications for detailed-balance wave modeling. Ocean Modelling, Vol. 103, p. 38.

    Rusu, Eugen 2016. Reliability and Applications of the Numerical Wave Predictions in the Black Sea. Frontiers in Marine Science, Vol. 3,

    Schmidt, Patrick Ó Náraigh, Lennon Lucquiaud, Mathieu and Valluri, Prashant 2016. Linear and nonlinear instability in vertical counter-current laminar gas-liquid flows. Physics of Fluids, Vol. 28, Issue. 4, p. 042102.

    Shabani, Behnam Babanin, Alex V. and Baldock, Tom E. 2016. Observations of the directional distribution of the wind energy input function over swell waves. Journal of Geophysical Research: Oceans, Vol. 121, Issue. 2, p. 1174.

    Stiassnie, Michael Kadri, Usama and Stuhlmeier, Raphael 2016. Harnessing wave power in open seas. Journal of Ocean Engineering and Marine Energy, Vol. 2, Issue. 1, p. 47.

    Stopa, Justin E. Ardhuin, Fabrice Babanin, Alexander and Zieger, Stefan 2016. Comparison and validation of physical wave parameterizations in spectral wave models. Ocean Modelling, Vol. 103, p. 2.

    Valero, Daniel and Bung, Daniel B. 2016. Development of the interfacial air layer in the non-aerated region of high-velocity spillway flows. Instabilities growth, entrapped air and influence on the self-aeration onset. International Journal of Multiphase Flow, Vol. 84, p. 66.

    Viitak, Marili Maljutenko, Ilja Alari, Victor Suursaar, Ülo Rikka, Sander and Lagemaa, Priidik 2016. The impact of surface currents and sea level on the wave field evolution during St. Jude storm in the eastern Baltic Sea. Oceanologia, Vol. 58, Issue. 3, p. 176.


On the generation of surface waves by shear flows

  • John W. Miles (a1)
  • DOI:
  • Published online: 01 March 2006

A mechanism for the generation of surface waves by a parallel shear flow U(y) is developed on the basis of the inviscid Orr-Sommerfeld equation. It is found that the rate at which energy is transferred to a wave of speed c is proportional to the profile curvature -U"(y) at that elevation where U = c. The result is applied to the generation of deep-water gravity waves by wind. An approximate solution to the boundary value problem is developed for a logarithmic profile and the corresponding spectral distribution of the energy transfer coefficient calculated as a function of wave speed. The minimum wind speed for the initiation of gravity waves against laminar dissipation in water having negligible mean motion is found to be roughly 100cm/sec. A spectral mean value of the sheltering coefficient, as defined by Munk, is found to be in order-of-magnitude agreement with total wave drag measurements of Van Dorn. It is concluded that the model yields results in qualitative agreement with observation, but truly quantitative comparisons would require a more accurate solution of the boundary value problem and more precise data on wind profiles than are presently available. The results also may have application to the flutter of membranes and panels.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *