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FLIGHT CREW REPORTED THAT DURING CRUISE FLIGHT AT FL410, RIGHT-HAND ENGINE SERIAL NUMBER 252736 EXHIBITED AN UNUSUAL NOISE ANOMALY ACCOMPANIED BY RISE IN INTER-TURBINE TEMPERATURE, VIBRATION, AND BLEED ODOR IN THE COCKPIT. AS A PRECAUTIONARY MEASURE, THE FLIGHT CREW SHUT DOWN THE RIGHT-HAND ENGINE. AIRCRAFT LANDED WITHOUT INCIDENT. EXTERNAL VISUAL INSPECTION REVEALED DAMAGE TO 2ND STAGE LOW-PRESSURE TURBINE(LPT) BLADES. DUE TO THIS FINDING, THE ENGINE WAS REMOVED FROM THE AIRCRAFT AND SHIPPED TO THE REPAIR STATION FOR DISASSEMBLY AND ENGINEERING EVALUATION. ENGINEERING EVALUATION DETERMINED THE CAUSE OF THE IN-FLIGHT ANOMALIES AND DAMAGE TO 2ND LPT BLADES WAS PARTIAL LIBERATION OF ONE 1ST-STAGE LPT BLADE. ADJACENT STATIC ENGINE COMPONENTS AND THE DOWNSTREAM ROTATING COMPONENT (2ND LPT ROTOR) EXHIBITED SECONDARY DAMAGE FROM THE 1ST LPT BLADE ANOMALY. SUBJECT 1ST LPT BLADE WAS ORIGINAL TO THE ENGINE.

AT FL410 IN CRUISE FLIGHT, CREW EXPERIENCED A LOUD "BANG" FROM THE NR 2 RIGHT ENGINE FOLLOWED BY INCREASING ITT AND VIBRATION. CREW ADVISED ATC OF THE SITUATION AND REQUESTED A LOWER ALTITUDE. DURING THE DECENT THERE WAS A SMELL OF JET FUEL. AT THAT POINT THE CREW DECLARED AN EMERGENCY AND DID A PRECAUTIONARY SHUTDOWN. ALL CHECKLISTS ACCOMPLISHED AND CREW LANDED UNEVENTFULLY.

AIRCRAFT DIVERTED DUE TO THE NR 1 HYDRAULIC SYSTEM FLUID DEPLETING IN FLIGHT. FOUND THAT THE NOSE GEAR UP LOCK ASSEMBLY WAS LEAKING FLUID, AND A HYDRAULIC LINE IN THE AFT MAINTENANCE COMPARTMENT HAD A CRACK. MAINTENANCE INSTALLED A REPAIRED UP LOCK ASSEMBLY AND A NEW TUBE ASSEMBLY TO RETURN THE AIRCRAFT BACK TO SERVICE. THE AIRCRAFT WAS ON A PART 91 FLIGHT AT THE TIME.

DURING APPROACH, LT MLG, WHEN SELECTED DOWN, DID NOT SHOW DOWN AND SAFE INDICATION ON EITHER, NORMAL OR AUXILIARY, INDICATION SYSTEM. RT AND NLG BOTH SHOWED DOWN AND LOCKED. PILOT ATTEMPTED EMERGENCY EXTENSION UTILIZING AUXILIARY HYDRAULIC SYSTEM, IAW EMERGENCY CHECKLIST, WITH NO SUCCESS. PILOT DECLARED EMERGENCY AND LANDED. AT TOUCHDOWN, LT MLG DOWN AND LOCKED INDICATED ON BOTH INDICATION SYSTEMS. ON GROUND, JACKED ACFT AND TROUBLESHOT SYSTEM. RAN GEAR UP AND DOWN AND FOUND THAT THE LT LANDING GEAR TOOK EXTENDED AMOUNT OF TIME TO LOCK DOWN. VERIFIED NO BINDING IN SYSTEM. R & R MLG JACK ACTUATOR WITH O/H UNIT, BLED SYSTEM AND PERFORMED 15 FAULT FREE LANDING GEAR RETRACTIONS/EXTENSIONS.

AT FL 430, ENCOUNTERED MODERATED MOUNTAIN WAVE WITH AIRSPEED FLUXUATION OF MACH .80 TO .72. AT THIS TIME WE HAD THE NR 2 ENGINE FLAMEOUT. PERFORMED NORMAL DESCENT TO AIRSTART ENVELOPE, COMPLIED WITH AIRSTART CHECKLIST, NO DEFECTS NOTED, CONTINUED TO DESTINATION.

ON APPROACH INTO TEB, THE LANDING GEAR HANDLE WAS MOVED TO LOWER THE GEAR. BOTH MAIN LANDING GEAR TRANSITON LIGHTS CAME ON AND THE GEAR DID NOT EXTEND. THE FLIGHT CREW USED THE EMERGENCY SYSTEM TO LOWER AND LOCK THE GEAR IN PLACE. (M)