Cooling systems for devices arranged in rows are disclosed. An example cooling system includes an inflatable air duct to be positioned above a cold aisle defined between two rows of electronic equipment. The inflatable air duct is to be air permeable to deliver conditioned air into the cold aisle. The electronic equipment has fans to force cool air within the cold aisle through the electronic equipment to adjacent hot aisles on opposite sides of the two rows of the electronic equipment. The inflatable air duct to be spaced apart from the rows of computers such that the cold aisle is in unobstructed fluid communication with the adjacent hot aisles over top of the rows of electronic equipment. The conditioned air delivered from the inflatable air duct to substantially prevent a mixing of warm air in the hot aisles with the cool air in the cold aisle.