On May 22, 1994, at 1759 hours Pacific daylight time, a Grumman AA-1C, N9514U, experienced an engine fire after landing at Zamperini Field, Torrance, California. The airplane was being operated as an instrument flight rules (IFR) cross-country personal flight to Torrance when the accident occurred. The airplane, operated by the pilot, was destroyed. The certificated commercial pilot and a passenger were not injured. Visual meteorological conditions prevailed. The flight originated at the Mesa Del Rey Airport, King City, California, about 1540 hours. The pilot reported that after landing on runway 29R and while taxiing on taxiway A, the engine quit. The pilot attempted to restart the engine and noticed flames around the engine compartment. The flames consumed the front half of the airplane before being extinguished. A Federal Aviation Administration (FAA) airworthiness inspector, Long Beach Flight Standards District Office (FSDO), inspected the airplane. He reported that a fuel line fitting to the carburetor appeared to have broken. The flexible fuel line to the carburetor was connected to a fuel flow transducer that was then attached to the carburetor fuel inlet fitting. The transducer was about 4 inches long. The fuel fitting was examined by a metallurgist at the request of the owner's insurance company. The metallurgist reported that the fitting appeared to have separated due to fatigue. A written report of the examination is included in this report. The engine had accrued 4.8 hours of operation since an annual inspection. The carburetor was overhauled as part of the inspection. The maintenance records do not include any documentation of the installation of the supplemental fuel flow system.