On the Steady Flow past an Oblique Flat Plate at a High Reynolds Number

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The stationary flow of a viscous fluid past a flat plate at a small incidence, θ, is dealt with by Oseen’s linearized approximation. The behavior of flow at a high Reynolds number, R, is precisely studied, using the Fourier transformation. The two characteristic types of flow are shown. In the case: 1<<R≤O (1⁄sinθ), the flow field is the conventional potential flow satisfying the Kutta-Joukowski condition with the thin boundary layer of thickness of O(1⁄\sqrtR) adjacent to the surface of the plate. In the other case: O(1⁄sin2θ)<<R, the flow field consists of a potential field and a wide viscous wake spreading downstream, where the flow is rotational and the velocity almost vanishes. The latter corresponds to the stalled state of the plate.

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