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We study numerically the two-dimensional flow past a circular cylinder as aprototypical transitional flow, and investigate the influence of a generic slipboundary condition on the wake dynamics. We show that slip significantly delaysthe onset of recirculation and shedding in the wake behind the cylinder. Asexpected, the drag on the cylinder decreases with slip, with an increased dragsensitivity for large Reynolds numbers. We also show that past the criticalshedding Reynolds number, slip decreases the vorticity intensity in the wake,as well as the lift forces on the cylinder, but increases the sheddingfrequency. We further provide evidence that the shedding transition can beinterpreted as a critical accumulation of surface vorticity, similarly torelated studies on wake instability of axisymmetric bodies. Finally, we proposethat our results could be used as a passive method to infer the effectivefriction properties of slipping surfaces.

Influence of slip on the dynamics of two-dimensional wakes