Detection of a logarithmic singular point behind an airfoil model at low Reynolds numbers

Abstract eng:
Regular-vortex formation behind circular cylinders or 2-D blunt bodies is associated with the global instability of the wake, which selectively induces a monochromatic disturbance. The complex ray theory predicts that the monochromatic disturbance is selected at the logarithmic singular point in the wake of a flat plate, which corresponds to the turning point in the global theory. Experiments at low Reynolds numbers were performed to detect this singularity behind an airfoil-shaped model in a low—turbulence wind tunnel. The onset of the global mode with extreme frequency selectivity and much larger spatial growth rate than that of convective instability was observed in the recirculation region very near the trailing edge of the model.

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