What was found
8 MINUTES AFTER T/O, CLIMBING THROUGH FL 190, WE GOT A LEVEL 2, ENG 2 OIL TEMP HI, 2 OIL TEMP WAS AMBER AT 170. TEMP CONTINUED TO CLIMB TO 181 AND TURNED RED. THE QRH WE SHUT THE ENGINE DOWN AND RETURNED TO DEPARTURE. R & R NR 2 ENGINE OIL TEMP SENSOR.