A refrigerated water pumping system provides high-pressure refrigerated water to misting nozzles situated in a livestock enclosure for housing livestock and adapted for converting the high-pressure refrigerated water into a fine mist or fog of water droplets at a target water temperature for evaporation in the enclosure to provide cooling of the enclosure to a target enclosure temperature. The system comprises a pump and a post-pumping heat exchanger, with the water being pumped by pump into high-pressure water. The high-pressure water is subsequently refrigerated into high-pressure refrigerated water having the target temperature by absorption of a target heat from the water by a refrigerant in the post-pumping heat exchanger, including any heat absorbed by water during pumping in pump.