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A linear stability analysis of the inviscid, parallel flow of air over water leads to an eigenvalue problem for the wave speed, which is solved numerically for air profiles typical of both laminar and turbulent flows. Comparison is made with Miles’ (1957) theory; growth rates differ from those predicted from the Miles (1957) formula but are in agreement with Conte & Miles’ (1959) computations for turbulent flow profiles. In the limit of a highly sheared wind profile the numerical computations retrieve the Kelvin-Helmholtz instability.
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Morland et al. (1993) studied this question.
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