What was found
AFTER TAKEOFF WE RECEIVED A R HYD TEMP HIGH AMBER CAS. RAN QRH. HYDRAULIC TEMP ON RIGHT SIDE EXCEEDED 155° (APPROXIMATELY 209°) AND PROCEEDED TO SHUTDOWN RT ENGINE IAW QRH. RECEIVED WHILE SETTING UP FOR LANDING: R HYD PRESS LOW FLAPS NORM PRESS LOW FLAPS FAULT SPOILERS FAULT. SWAPPED LT AND RT HYD TEMP TRANSDUCERS & PERFORMED OP5 CHECK, FOUND ERRATIC ON THE LT SIDE. REINSTALLED TRANSDUCERS. REMOVED AND REPLACED RT HYD TEMP TRANSDUCER IAW AMM 29-33-01. PERFORMED HYD SYS BLEEDING, HYD SYS FUNCTIONAL CHECK GOOD, NO DEFECTS NOTED.