That looks like an unprotected driveshaft going across the engine compartment, jesus... How could this accident have been avoided...
And my guess would be the temperature rise from air in the engine bay vs. a fenderwell for example is negligible compared to the temperature rise from compression. Like maybe 10-15 degrees vs. 100-200 degrees... just pulled those numbers out of my a55, but temp. gain from compression is usually quite a bit. I could do some heat transfer calcs on it... well... no, never mind I don't feel like putting out that kind of effort.
