What was found
KAPA - KSMO - WHILE CLIMBING THROUGH 15,000 FEET, THE NR 2 ENGINE OIL TEMPERATURE BEGAN TO RISE INTO THE AMBER BAND. WHEN POWER WAS REDUCED THE OIL TEMPERATURE CONTINUED TO RISE INTO THE RED BAND. ENGINE POWER WAS REDUCED TO IDLE. AN EMERGENCY WAS DECLARED AND THE AIRCRAFT WAS RETURNED TO KAPA. MAINTENANCE DRAINED APPROXIMATELY TWO GALLONS OF OIL FROM THE NR 2 ENGINE GEAR BOX SUMP DUE TO THE ENGINE BEING OVER SERVICED. THE ENGINE WAS GROUND RUN FOR FIVE MINUTES AT POWER WITH NO NOTED DEFECTS. THE AIRCRAFT WAS RETURNED TO SERVICE.