Abstract: A heat exchange device for air cooling for conditioning and climate control systems for server rooms and the like, which comprises: an air/air heat exchanger, designed to be passed through by a primary air stream along a first trajectory from an intake region to an outflow region and by a secondary air stream along a second trajectory from a corresponding intake region to a corresponding outflow region, water dispensing elements adapted to wet the heat exchanger downward from above, elements of collecting the water that descends from the heat exchanger, a recirculation pump for returning the air-cooling water from the collection elements up to the dispensing elements arranged above the heat exchanger; the water dispensing elements comprise a plurality of nozzles arranged side by side, or rows of nozzles, which are adapted to dispense water with a flow-rate that decreases starting from the intake region for the primary air stream toward the outflow region of the heat exchanger.