Narrative:

During climb out from takeoff; fire warning engine number 2 illuminated. After completing checklist items crew elected to return to the airport [nearby with a longer runway]. On approximately 4 mile final to the runway and cleared for visual approach; ATC issued an immediate right turn to another aircraft at our 11 o' clock and approximately 3 miles. We received a TCAS traffic alert (traffic) and had visual contact with the traffic. No evasive action required or taken; proceeded to normal landing. On the ground; fire personnel conducted visual inspection to confirm no indication of smoke or fire before taxing to parking. Maintenance inspection; number 2 engine; revealed cracked bleed-air line that caused an over temp condition and subsequent fire warning. There were no signs of flames; burning or scorching.

Google
 

Original NASA ASRS Text

Title: DA50 First Officer reported a number two engine fire warning shortly after takeoff. The engine was shut down and the flight diverted to a suitable airport.

Narrative: During climb out from takeoff; fire warning engine number 2 illuminated. After completing checklist items crew elected to return to the airport [nearby with a longer runway]. On approximately 4 mile final to the runway and cleared for visual approach; ATC issued an immediate right turn to another aircraft at our 11 o' clock and approximately 3 miles. We received a TCAS traffic alert (Traffic) and had visual contact with the traffic. No evasive action required or taken; proceeded to normal landing. On the ground; fire personnel conducted visual inspection to confirm no indication of smoke or fire before taxing to parking. Maintenance inspection; number 2 engine; revealed cracked bleed-air line that caused an over temp condition and subsequent fire warning. There were no signs of flames; burning or scorching.

Data retrieved from NASA's ASRS site 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.