Asymptotic interpretation of the Miles mechanism of wind-wave instability

AF Bonfils, D Mitra, W Moon… - Journal of Fluid …, 2022 - cambridge.org
Journal of Fluid Mechanics, 2022cambridge.org
When wind blows over water, ripples are generated on the water surface. These ripples can
be regarded as perturbations of the wind field, which is modelled as a parallel inviscid flow.
For a given wavenumber. In the strong wind limit, we find that the fastest growing wave is
such that the aerodynamic pressure is in phase with the wave slope. The results are
confirmed numerically.
When wind blows over water, ripples are generated on the water surface. These ripples can be regarded as perturbations of the wind field, which is modelled as a parallel inviscid flow. For a given wavenumber . In the strong wind limit, we find that the fastest growing wave is such that the aerodynamic pressure is in phase with the wave slope. The results are confirmed numerically.
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