Abstract
Abstract It is shown that a simple relation, E* = 5.1 × 10−2 σm*−3 for describing the conditions of growing wind waves, is supported by various available data, where E* = g2E/u*4 is dimensionless energy. σm* = u*σm/g the dimensionless angular frequency at the maximum of the energy spectrum, g the acceleration of gravity and u* the friction velocity of the air. This expression is an alternative form of the relation between dimensionless wave height and period, H* ∝ T*3/2, which was previously proposed by the author (Toba, 1972) for energy-containing waves, and is extended to individual waves in the wind-wave field in a statistical sense. It is also shown, supported by various data, that the essential part of the one-dimensional energy spectra of growing wind waves should have the form g*u*σ−4 for the high-frequency tail of the frequency spectrum, where g* is g expanded to include the surface tension. This is the form previously proposed by the author (Toba, 1973b) as the one-dimensional spectral form consi...
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