CE-500 ENG FLAMES OUT AT FL390.

Narrative

IN SUM: ACFT WAS A CITATION 500. FLT WAS CLBED TO FL390 FROM FL350 FOR WX AVOIDANCE DURING TSTM ACTIVITY. THE ACFT SLOWLY ACCELERATED TO NEAR CRUISE MACH AS IT ENTERED SCATTERED LAYERS OF CIRRUS NEAR THE TSTMS. THE CAPT'S MACH AND AIRSPD APPEARED TO INCREASE AT A FASTER RATE THAN THE FO'S AIRSPD. THERE WAS NO MACH ON THE FO'S SIDE. PF; THE CAPT; THEN BEGAN REDUCING THROTTLES SO AS NOT TO EXCEED CRUISE MACH. THIS WAS FOLLOWED BY AN INCREASING SPD ON THE PF SIDE AND MORE THROTTLE REDUCTION. THE PNF SIDE INDICATED A DECREASING SPD SIT; GETTING BELOW 200 KIAS. A GND SPD CHK WAS MADE WITH VOR AND CTR RADAR. BY THIS TIME A PITCH ATTITUDE WAS NOTICED ON THE CAPT'S ATTITUDE INDICATOR THAT EXCEEDED THE FO'S BY ABOUT 3-5 DEGS. THE FO BROUGHT THIS TO THE ATTN OF THE PF. INCREASED THRUST WAS APPLIED AND THE R ENG FLAMED OUT IN RESPONSE. (ENG ANTI-ICE HAD BEEN ON THROUGHOUT CLB.) DURING THE EMER DSCNT THAT FOLLOWED; IT WAS NOTED THAT THE L ENG WAS PRODUCING 70 PERCENT PWR. CTR WAS ADVISED OF EVENT AND SOME CONFUSION EXISTED AS THE ACFT WAS DSNDED TO 13000 FT. AS THEY WENT THROUGH FL250 THE AIRSPDS APPEARED TO BE MATCHED. A RELIGHT OF THE R ENG WAS PERFORMED AND A DIVERSION TO MSY WAS ACCOMPLISHED. THE ACFT THEN WAS CHKED FOR HEAT TO THE PROBES; AND AFTER CLRING WX; FLOWN TO HOME BASE AT HOU. THERE A POSTFLT INSPECTION FOUND SOME GUMMY SUBSTANCE LIKE WAX OR POLISH IN THE FO'S PITOT STATIC SYS. SOME MOISTURE WAS FOUND DURING ADDITIONAL PURGING OF THE SYS. THE RPTR SUSPECTS THAT PITOT STATIC BLOCKAGE CREATED THE ERRONEOUS READINGS ON THE FLT INSTS. NO INFO ON THE CAUSE OF THE FLAMEOUT.