“…A spanwise wall slip instead promotes the growth of streamwise rolls leading to drag increase due to an enhanced lift-up effect. Both constant (Min and Kim, 2004) and shear-dependent (Aghdam and Ricco, 2016) slip-length wall boundary conditions have been proposed to describe the effect of different types of hydrophobic surfaces, modeling lotus-leaf-type surfaces, where air pockets are trapped in small cavities (Ling et al, 2017;Seo et al, 2018;Reholon and Ghaemi, 2018), and pitcher-plant-type surfaces, where oil is imbibed in the porous surface (Wong et al, 2011) or in transverse microcavities (Ge et al, 2018). In the present work we follow the approach of Min and Kim (2004) where the no-slip boundary condition on the streamwise velocity is replaced by the following constantslip-length condition:…”