LTT ACR ACFT ENG SHUTDOWN AFTER A MALFUNCTION DURING APCH.

Narrative

I WAS RECEIVING INITIAL OPERATING EXPERIENCE AS CAPT ON AN LTT ACFT FROM CAK TO DTW. ON CLBOUT FROM CAK WE (THE CREW) NOTED A SPLIT IN THE PWR LEVERS AND ABNORMAL INDICATIONS ON THE R ENG (#2). AFTER TROUBLESHOOTING; WE SUSPECTED A SINGLE REDLINE COMPUTER PROBLEM AND TURNED THAT SYS OFF. WE CONTINUED TO DTW WITHOUT FURTHER COMPLICATION UNTIL ON VECTORS ON A DOWNWIND FOR 21L THE R ENG WOULD NOT REDUCE BELOW 30 PERCENT TORQUE. WHEN THE R PWR LEVER WAS MOVED; THE ENG WOULD SURGE +/- 15 PERCENT; CAUSING THE ACFT TO YAW EXCESSIVELY L AND R. WE ADVISED DTW TWR WHILE ON FINAL APCH THAT WE WOULD BE DECLARING AN EMER DUE TO A PRECAUTIONARY SHUTDOWN; AND THAT WE WOULD LIKE TO GO MISSED APCH AND SECURE THE ENG. WE BROKE OFF THE APCH AND WERE VECTORED BACK FOR AN APPROX 15 MI FINAL AGAIN FOR 21L. THE R ENG WAS SHUT DOWN APPROX 5 MI OUTSIDE THE OM. ALL APPROPRIATE CHKLISTS WERE COMPLETED AND THE ACFT WAS LANDED WITHOUT INCIDENT. FOLLOW-UP WITH MAINT THE NEXT DAY REVEALED THAT THE FUEL CTL UNIT TO THE ENG HAD FAILED INTERNALLY.