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Zbl 1143.76015
Iosilevskii, Gil
Asymptotic theory of an oscillating wing section in weak ground effect.
(English)
[J] Eur. J. Mech., B, Fluids 27, No. 4, 477-490 (2008). ISSN 0997-7546

Summary: This study addresses unsteady aerodynamic forces acting on a wing section oscillating in a steady incompressible (and inviscid) uniform flow in the presence of a distant flat ground. Three fundamental dimensionless parameters characterize the magnitude of those forces: the ratio $\delta$ of the wing transversal displacement to its chord, the ratio $\varepsilon$ of the wing chord to its average distance from the ground, and the ratio $k$ of the wing chord to the distance traveled by the flow during one oscillation period. With the first two serving as small parameters, asymptotic series of the form $\delta f_{0}(k)+\delta \varepsilon ^{2}f_{1}(k)+\delta \varepsilon ^{2}g(k/\varepsilon )f_{2}(k)+\cdots$ have been constructed for the wing lift and pitching moment. In the case of heave oscillations, three-term series for the lift fits nicely the available numerical data for wide range of $\delta ,\varepsilon$ and $k$.
MSC 2000:
*76B10 Free-streamline theory and appl.
76M45 Asymptotic methods, singular perturbations

Keywords: wing lift; pitching moment; heave oscillations

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