Abstract
SUMMARY Numerical analysis by a hybrid vortex method is carried out for the flow around a two-dimensional ellipse in harmonic translation at the 30°-angle relative to an oncoming stream. The Reynolds number considered is focused on 1000 and the axis ratio of the ellipse is chosen to be 8:1. The reduced amplitude λ of the harmonic translation ranges from 0.4 to 1.8, while the reduced frequency k¯ ranges from 0.1 to 0.7. The paper aims at analysing how the vortices in the wake contribute to the force and moment coefficients through the vorticity generated around the leading and trailing edges. Lift, drag and moment elements related to corresponding potential flows and the cross product of the velocity and vorticity are proposed for this purpose. Furthermore, it is shown that for a given λ the total lift coefficient averaged over a period of motion attains a maximum at λk¯ ≈ 0.43; the maximum lift coefficient increases with increasing λ. Near-wake flow patterns such as streamlines and vorticity structures co...
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