A B733 CREW; DEPARTING MDW; EXPERIENCED A R ENG FLAMEOUT; RETURNED TO MDW.

Narrative

ENG FLAMEMOUT ON CLBOUT -- WE PUSHED ON TIME FOR OUR FLT FROM MDW. PUSH; START; TAXI AND TKOF ON RWY 22L WERE UNEVENTFUL. SHORTLY AFTER ENTERING THE WX AND RAISING THE FLAPS FROM 5 DEGS TO 1 DEG; OUR R ENG FLAMED OUT. WE CONTINUED TO DECONFIGURE THE ACFT AND COMPLETED OUR CLB ON RWY HEADING TO 3000 FT MSL. AFTER WE WERE AT 3000 FT; WE DECLARED AN EMER AND RAN THE ENG FAILURE/SHUTDOWN CHKLIST. CHICAGO DEP GAVE US AN IMMEDIATE L TURN TO 130 DEGS FOR A DOWNWIND LEG FOR A 10 MI ILS FINAL TO RWY 31C. SINCE WE HAD A FAIRLY SHORT DOWNWIND; WE ELECTED TO CONCENTRATE ON LNDG AS SOON AS POSSIBLE INSTEAD OF ATTEMPTING A RESTART. ON BASE/FINAL; WE CONFIGURED THE ACFT FOR A SINGLE ENG LNDG AND COMPLETED THE 1-ENG INOP LNDG CHKLIST. I CONTINUED TO FLY THE ACFT AND THE CAPT INFORMED THE PAX WE WERE RETURNING TO MDW ONCE ALL CHKLISTS WERE DONE. THE CAPT ASSUMED CTL OF THE ACFT AFTER WE BROKE OUT OF THE WX AT 700 FT AGL. (NOTE: CONFIRMED WE WERE IN LNDG PARAMETERS.) THE CAPT LANDED UNEVENTFULLY; AND WE CLRED THE RWY.