On the streamline configuration associated with miles' theory of sea wave growth |
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| Authors: | M J Manton |
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| Institution: | (1) Institute of Oceanography, University of British Columbia, USA;(2) Present address: Department of Mechanical Engineering, University of Sydney, Australia |
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| Abstract: | The Miles theory of sea wave growth implies that, in a coordinate system moving with the wave phase velocity, closed streamline  cats'-eyes are formed around the critical height where the mean wind speed equals the wave phase speed. From inspection of the equations of motion (the Rayleigh system), it is shown that these cats'-eyes may lie either over the wave crests or over the wave troughs, depending upon the behaviour of the mean wind profile. The validity of using Miles first approximation of the streamfunction' to approximate the actual streamline pattern is also discussed. |
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