The invention relates to a device for cooling an object that was previously subjected to a heat application, generally a multi-piece composite, particularly in the form of a shrink-fit chuck into which the shank of a tool was chucked or from which it was removed (cooling device), wherein the device comprises a pump, by way of which it generates a carrier gas flow, particularly an air flow, which is charged with a liquid cooling medium, particularly water, so that a coolant flow, the majority of the volume of which consists of the carrier gas, is created, which then spreads over at least the section of the object to be cooled.