C172 student pilot and Instructor reported the engine lost power on initial climb from a go around and return to the airport.
Synopsis
C172 student pilot and Instructor reported the engine lost power on initial climb from a go around and return to the airport.
Narrative
We were completing an emergency approach and landing maneuver in accordance with the commercial rating outline. We completed the maneuver going down to about 800ft AGL and smoothly put power back to full power to climb back to a cruise altitude (mixture was full the whole time) and approximately 5-10 seconds on our climb out the engine shook and rpm dropped to 2200 and climb performance dropped to approximately 100-200 fpm at around 72 kts indicated. EGT and CHT reading for cylinder 1 (Garmin G-1000) dropped and showed no visual reading on the temperature charts for that cylinder. Upon [requesting priory handling] with ZZZ Tower due to the low altitude this took place; we headed back direct to ZZZ to land on Runway XX. After the loss of power; emergency checklists for engine roughness/loss of power were run. Approximately 5 nm on the final for Runway XX; we noticed the same reading for cylinder 3 were missing on the EGT and CHT chart on the Multi-function Flight Display (MFD) and upon landing; only one cylinder was showing readings and shutdown was commenced.
Second reporter narrative
We were on the go around from practicing simulated emergency approach to land around 18NM W of ZZZ at 2500 ft; and as the student pilot adding the power to full; we experienced engine roughness and lost CHT and EGT on #1 cylinder. Our max climb rate was 200 fpm with full power and mixture. As we were slowly climbing to 3000 feet we contacted ZZZ Tower. The engine roughness persisted and we ran through the appropriate checklist but it did not solve the problem. As we were getting closer to ZZZ; Runway XX; when we were 5 NM W of ZZZ; we lost CHT and EGT on #2 and #3. As we were coming in on the final approach of Runway XX; the engine roughness progressd worse; but we were able to make it to the runway safely.
Source: NASA Aviation Safety Reporting System (public domain). Reports are voluntary submissions and are not verified by NASA.