For anyone who is interested: I bought a DHT22 temperature sensor, and taped it directly above the heatsinks of the AU-919. There is 4 cm free space above the amp:
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The sensor is connected to a raspberry pi. It measures the temperature every 5 minutes and writes the data to a Google Sheets file. These readings can then be put in a diagram. The following are two of such day readings. You can see exactly at what time I turn on or off the amp.
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The temperature stabilizes at around 39 celsius. At this temperature the amp feels quite warm to the touch but definitely not too hot to touch.
The next experiment is to set some kind of warning threshold, if temperature exceeds 42 celsius or something.
Another experiment that I'd like to do is remove the 4 cm space and simply put the other machine on top (an MA7 on its feet). I am quite curious if there is a change in temperature to be seen in the readings.