Representation of real flows with dynamically equivalent concentrated point vortices

Abstract eng:
Unsteady inviscid point vortex models predict vortex locations and circulations as functions of time. In order to adequately predict forces on plates undergoing unsteady maneuvers, we assert that such models ought to predict the centroids of leading-edge (LE) and trailing-edge (TE) vorticity distributions in real flows. For a surging, nominally two-dimensional plate, we have used particle image velocimetry (PIV) to calculate LE and TE vorticity centroids and circulations at early dimensionless times. These measurements are used as inputs to a force formulation for an existing point vortex model. The instantaneous forces calculated in this way exhibit the same trend as the direct force measurements, but underpredict the magnitude. Further work will be completed to identify the source of the discrepancy, such that existing unsteady point vortex convection models can be validated.

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