What was found
NR 2 ENG WAS FLUC EPR+- 4 N1, N2 EGT AND FUEL FLOW ALL WERE FLUCT. PRIOR TO SHUTDOWN NR 2 ENG FUEL HEAT ICING LIGHT STROBING EVEN WITH FUEL HEAT ON. ENG SHUT DOWN DURING FINAL CLIMB TO 37000 WHEN ENG SHUT DOWN ENG OIL CLIMBED TO 140 C ENG WINDMILLED FOR 37 MIN 09 SEC FOR FINAL 2 MIN AND 30 SEC OIL PSI DROPPED BELOW 10 PSI BUT NEVER BELOW 5 PSI. REMOVED AND REPLACED NR 2 ENG IAW CA TASK CARD 7102, CW ENG TRIM, LEAK CHECK OK FOR SERVICE.