A B737-200 CLBING OUT OF 10000 FT DECLARED AN EMER AND RETURNED TO ARPT DUE TO INTERMITTENT RIGHT ENG FIRE WARNING THEN CONTINUOUS WARNING. ENG SHUT DOWN.

Narrative

CLBING OUT OF 10000 FT; WE HAD A BRIEF ENG FIRE INDICATION ON THE #2 ENG. THE FIRE BELL SOUNDED FOR ABOUT ONE SECOND AND THEN EXTINGUISHED. THE FIRE BELL SOUNDED AGAIN; ABOUT 15 SECONDS LATER AND STAYED ON FOR ABOUT FIVE SECONDS AND THEN WENT OUT. DURING THIS TIME; ALL ENG INDICATIONS AND ACFT CTL WERE NORMAL. ABOUT TWENTY SECONDS LATER THE FIRE BELL SOUNDED AGAIN AND STAYED ON. WE PERFORMED THE MEMORY ITEMS FOR THE ENG FIRE; SEVERE DAMAGE OR SEPARATION CHKLIST AND SHUT DOWN THE #2 ENG. WE DECLARED THE EMER WITH ATC AND STARTED OUR RETURN TO ZZZ. WE THEN REFERRED TO THE ENG FIRE; SEVERE DAMAGE OR SEPARATION CHKLIST TO CONFIRM THE MEMORY ITEMS; FOLLOWED BY THE COMPLETION OF THE REMAINING CHKLIST ITEMS. WE THEN COMPLETED THE ONE ENG INOP LNDG CHKLIST PRIOR TO LNDG. AFTER LNDG; WE STOPPED ON THE RWY AND ASKED THE TWR TO LET US KNOW IF WE HAD SMOKE OR FIRE COMING FROM THE RIGHT SIDE OF THE ACFT. THE FIRE DEPARTMENT INFORMED THE TWR THAT NO SMOKE OR FIRE WAS EVIDENT; SO WE TERMINATED THE EMER AND TAXIED TO PARKING. I FEEL THE TRAINING WE RECEIVE IN THE CLASSROOM AND SIMULATOR MORE THAN PREPARED US FOR THIS SIT. OUR PROCEDURES FOR COMPLETING THE MEMORY ITEMS AND CHKLIST WERE WELL THOUGHT OUT AND QUITE THOROUGH. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE RPTR SAID THE FIRE WARNING CAME ON FOR ONE SECOND THEN AGAIN FOR FIVE SECONDS AND THEN CAME ON AND STAYED ON STEADY INDICATION AND BELL. ALL OF THE CHKLISTS; ENG FIRE; ENG SHUT DOWN; AND SINGLE ENG LNDG; WERE ACCOMPLISHED PRIOR TO LNDG. ON THE GND MAINT FOUND NO EVIDENCE OF ENG FIRE; BUT DID FIND A SHORTED FIRE WARNING LOOP.