“…When symmetric ripples and oscillations induced by a sinusoidally varying pressure gradient are considered, the mean velocity far from the bed vanishes even though, as previously pointed out, a steady flow, which consists in recirculating cells, is present in the region close to the bed. When the ripples are asymmetric and/or the pressure gradient driving the flow is the sum of two or more harmonic components, as it occurs under asymmetric or skewed waves [13], the steady velocity component persists at the outer edge of the bottom boundary layer, even at low Reynolds numbers, and affects the flow in the entire water column [14,15]. This is due to the turbulence associated with flow separation at the ripple crests, which, in the cases mentioned above, causes a non-vanishing mean value of the Reynolds stress.…”