What was found
APPROXIMATELY 5 MINUTES AFTER DEPARTURE FROM KLAN, THE RT WING OVHT ANNUNCIATOR ILLUMINATED AS A STEADY INDICATION. THE PILOT PERFORMED THE MEMORY ITEMS, ADVISED ATC OF THE SITUATION, REQUESTED A RETURN TO THE AIRPORT AND BEGAN THE PREPLANNED ENGINE SHUTDOWN CHECKLIST, AS GUIDED BY QRH. AFTER APPROXIMATELY 2 MINUTES THE ANNUNCIATOR EXTINGUISHED AND GIVEN THE ABSENCE OF OTHER ABNORMAL INDICATIONS, THE PILOT ELECTED TO NOT SHUTDOWN THE ENGINE. THE PILOT CONTINUED TO COMPLETE THE NORMAL PROCEDURES UNTIL A NORMAL LANDING SAFELY AT KLAN ON 10R/28L. AIRPORT FIRE EQUIPMENT FOLLOWED THE AIRCRAFT FROM THE RUNWAY TO THE PARKING AREA AND NOTICED NO SIGNS OF A FIRE ON THE AIRCRAFT. LAN MAINTENANCE TROUBLESHOT AND FOUND THE RIGHT WHEEL WELL THERMAL SWITCH WAS DEFECTIVE. REMOVED AND REPLACED RIGHT THERMAL SWITCH, PART NR 17343-61-350F, IAW SA227 MM 26-10-20, SEC D. OPERATIONAL CHECK GOOD, NO OTHER DEFECTS NOTED.