A dynamical study of the flow in a double-skin fa莽ade was carried out numerically for modified Rayleigh numbers in a range corresponding to the boundary layer-type flow in the laminar regime. The fa莽ade is modeled by an asymmetrically heated vertical plane channel. 2D numerical simulations have been carried out with the finite volume approach. Velocity profiles show the asymmetric character of the flow. The presence of a recirculation zone at the channel outlet near the unheated wall has been highlighted. Numerical results are compared with experiments carried out in water. This simulation allows finding the patterns of the recirculation zone observed in the experiments. Numerically predicted recirculation lengths are overestimated by about 6%compared with the experimental results.