What was found
(CAN) DURING CLIMB OUT, THE CREW NOTICED THAT NR 2 ENGINE OIL TEMPERATURE WAS INCREASING. TEMP CONTINUED TO INCREASE DURING CLIMB AND ENGINE WAS SHUT DOWN. AIRCRAFT RETURNED TO BASE. INVESTIGATION FOUND THAT THE NR 2 ENGINE FUEL HEAT VALVE WAS STUCK IN THE OPEN POSITION. THE VALVE WAS REPLACED. ALSO THE 8TH STAGE AIR DUCT JOINT WAS BLOWING HOT AIR DIRECTLY ON TO THE OIL TEMP SENSOR. LEAK WAS RECTIFIED. ENGINE RUN WAS CARRIED OUT NO FURTHER FAULTS FOUND, AIRCRAFT RETURNED TO SERVICE.