The device has a blowing out device (5) for cleaning air i.e. cool air, which is kept at moderate temperature. The blowing out device is partially made of upper and lower side flexible, air-permeable sheet materials (7, 8) i.e. fabric. The blowing out device covers a cushion, a cover or a hood- or cover-shaped air distribution device (1). The air distribution device covers seat and/or couch portions in a vertical projection. The air distribution device comprises two or multiple different flexible sheets i.e. fabric sheets, with different air permeabilities.