An assembly is provided for rotational equipment. This assembly includes a first component, a static structure, a guide rail and a second component. The static structure includes a static structure fluid passage. The guide rail is mounted to the static structure. The guide rail includes a guide rail fluid passage and a nozzle. The guide rail fluid passage fluidly couples the static structure fluid passage to a nozzle orifice of the nozzle. The nozzle is configured to direct fluid onto the first component through the nozzle orifice. The second component is mated with and configured to translate along the guide rail.