Influence of slip on the dynamics of two-dimensional wakes

Abstract

We study numerically the two-dimensional flow past a circular cylinder as a prototypical transitional flow, and investigate the influence of a generic slip boundary condition on the wake dynamics. We show that slip significantly delays the onset of recirculation and shedding in the wake behind the cylinder. As expected, the drag on the cylinder decreases with slip, with an increased drag sensitivity for large Reynolds numbers. We also show that past the critical shedding Reynolds number, slip decreases the vorticity intensity in the wake, as well as the lift forces on the cylinder, but increases the shedding frequency. We further provide evidence that the shedding transition can be interpreted as a critical accumulation of surface vorticity, similarly to related studies on wake instability of axisymmetric bodies. Finally, we propose that our results could be used as a passive method to infer the effective friction properties of slipping surfaces.

References in corpus (2)

• Bouncing or sticky droplets: impalement transitions on superhydrophobic micropatterned surfaces
• A note on the stability of slip channel flows

Cited by in corpus (6)

• Theory of the Antibubble Collapse
• Wake of super-hydrophobic falling spheres: influence of the air layer deformation
• Effect of wall slip on laminar flow past a circular cylinder
• Slip-induced odd viscous flow past a cylinder
• Wake asymmetry weakening in viscoelastic fluids: Numerical discovery and mechanism exploration
• Immersed Boundary Projection Method for Navier Slip Boundaries