What was found
AT 43000 AIRCRAFT WAS CROSSING A SMALL LINE OF WEATHER. ENCOUNTERED SOME MODERATE TURBULENCE. RIGHT ENGINE SHUT OFF. CREW DECLARED AN EMERGENCY AND STARTED A DESCENT. CREW REPORTED RIGHT ENGINE LOOKED TO BE IN GOOD SHAPE STILL SHOWING ABOUT 8.7% AND TWO. CREW LOOKED IN EMERGENCY PROCEDURES BOOK AND DID THE ENGINE FAILURE AND RESTART CHECKLIST. DESCENDED INTO THE ENVELOPE AND RESTARTED ENGINE. ENGINE RESTARTED WITH NO PROBLEM SO THEY CONTINUED TO HEAD TOWARDS JACKSONVILLE MISSOURI WHICH WAS ON ROUTE ABOUT 100 MILES AWAY AS THEY DIAGNOSED ENGINE. AGAIN, ENGINE SEEMED TO BE WORKING GREAT AND VERY STRONG SO THEY ELECTED TO CANCEL THE EMERGENCY AND CONTINUE TO HOUSTON. AIRCRAFT LANDED AT HOUSTON WITH NO FURTHER EVENT WHICH WAS ABOUT 1 1/2 HOURS OF FLIGHT TIME AFTER FAILURE. UPON LANDING MAINTENANCE COMPLETED A VISUAL INSPECTION OF THE ENGINE AND IT'S RIGGING. GROUND RUNS WERE PERFORMED WITH NO ISSUE. AIRCRAFT WAS RELEASED FROM MAINTENANCE WITH NO FURTHER ISSUES. CREW CONFIRMED IGNITERS WERE NOT ON WHEN PASSING THROUGH STORM. SUSPECT TURBULENCE CREATED AIRFLOW ISSUES AND ENGINE FLAMEDOUT