We consider transverse shear flow over a $2L$ -periodic array of air-filled grooves, which are separated by solid slats. address the scenario where liquid partially invades grooves. Following Crowdy's solution longitudinal problem ( J. Fluid Mech. vol. 925, 2021, R2), we focus upon simplified geometry infinitely narrow For flat menisci, ratio $\lambda$ slip length to $L$ depends single geometri...