Narrative:

After pushback and engine start (both engines stabilized) and after both pilots accomplished their respective after start flows; I called 'flaps 2 taxi.' as the airplane began to move; maybe 15 feet straight ahead; the number 2 engine failed. Passengers noticed a 'large puff of blue smoke.' I stopped and assessed the situation; ATC and surrounding aircraft saw no flames or smoke. I asked my first officer to request a return to the gate. While he was doing that I made a public address to the passengers of the situation and we returned to the gate. Maintenance foreman thought possibly a fadec or maybe even a severed fuel line. I made no attempt to restart the number 2 engine with this the possibility of 'raw fuel' in the tailpipe area or burner as it could ignite a tailpipe fire or worse.

Google
 

Original NASA ASRS Text

Title: A321 Captain experiences a number two engine failure (flame out) as he is beginning his taxi away from the gate. Aircraft is returned to the gate for maintenance

Narrative: After pushback and engine start (both engines stabilized) and after both pilots accomplished their respective after start flows; I called 'Flaps 2 taxi.' As the airplane began to move; maybe 15 feet straight ahead; the number 2 engine failed. Passengers noticed a 'large puff of blue smoke.' I stopped and assessed the situation; ATC and surrounding aircraft saw no flames or smoke. I asked my First Officer to request a return to the gate. While he was doing that I made a public address to the passengers of the situation and we returned to the gate. Maintenance Foreman thought possibly a FADEC or maybe even a severed fuel line. I made no attempt to restart the number 2 engine with this the possibility of 'raw fuel' in the tailpipe area or burner as it could ignite a tailpipe fire or worse.

Data retrieved from NASA's ASRS site as of July 2013 and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.