Cmh TRACON controller reported a loss of separation when a departure and a go-around got too close.

Attributes
ACN	1615203
Time
Date	201902
Local Time Of Day	ZZZ
Place
Locale Reference	CMH.Airport
State Reference	OH
Aircraft 1
Make Model Name	B737-800
Operating Under FAR Part	Part 121
Flight Phase	Takeoff
Route In Use	None
Flight Plan	IFR
Aircraft 2
Make Model Name	Large Transport
Operating Under FAR Part	Part 121
Flight Phase	Final Approach
Route In Use	Visual Approach
Flight Plan	IFR
Person 1
Function	Approach Departure
Qualification	Air Traffic Control Fully Certified
Experience	Air Traffic Control Time Certified In Pos 1 (yrs) 9
Events
Anomaly	ATC Issue All Types Conflict Airborne Conflict Deviation - Procedural Clearance Deviation - Track / Heading All Types

Narrative:

I was working north radar. Aircraft Y was on a visual approach; switched to the tower and short final. Local had aircraft X in line up and wait and cleared for takeoff. Aircraft Y had to go around due to the other [carrier] not rolling.aircraft X came off runway heading first; aircraft Y went around right behind him. Tower had issued a 250 heading to aircraft Y in trail. Targets were close. Tower switched both at the same time I believe; there was some confusion on the departure frequency and I had other aircraft I was working making transmissions.in my opinion; the targets were merging as the go around aircraft was faster than the departure aircraft. I turned aircraft Y further south to 180 heading to avoid a conflict with aircraft X which was being over taken.aircraft X also took the turn to 180 so both aircraft were turning. I sorted out the confusion; turned aircraft X back to the west and had to climb aircraft Y to 040 and turn back to the southwest to avoid aircraft Z on final to lck. Tower had no other departures nor was there anyone else on final. Don't use the squeeze play. Further the departing aircraft X should have been turned northwest with the go around behind turning southwest to separate faster.

Original NASA ASRS Text

Title: CMH TRACON Controller reported a loss of separation when a departure and a go-around got too close.

Narrative: I was working North Radar. Aircraft Y was on a visual approach; switched to the tower and short final. Local had Aircraft X in line up and wait and cleared for takeoff. Aircraft Y had to go around due to the other [carrier] not rolling.Aircraft X came off runway heading first; Aircraft Y went around right behind him. Tower had issued a 250 heading to Aircraft Y in trail. Targets were close. Tower switched both at the same time I believe; there was some confusion on the departure frequency and I had other aircraft I was working making transmissions.In my opinion; the targets were merging as the go around aircraft was faster than the departure aircraft. I turned Aircraft Y further south to 180 heading to avoid a conflict with Aircraft X which was being over taken.Aircraft X also took the turn to 180 so both aircraft were turning. I sorted out the confusion; turned Aircraft X back to the west and had to climb Aircraft Y to 040 and turn back to the southwest to avoid Aircraft Z on final to LCK. Tower had no other departures nor was there anyone else on final. Don't use the squeeze play. Further the departing Aircraft X should have been turned northwest with the go around behind turning southwest to separate faster.

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.