Watched a DPF burn cycle today via OBDlink, saw exhaust gas temps in excess of 670°C.... Air flow is reduced, fuel injection volume is increased and the injection timing is retarded - all to increase the exhaust gas temperature to around 500 degrees C. That high heat load is probably why we're seeing the cooling fans operating at high speed (and noise!). I had also noticed via the off-road page but never understood why until now, that the engine oil temperature increases about 10 degrees C during a burn. The engine is forced to run hot when a regeneration is occurring and the oil temp rises as a result.
Apart form egine oil temp going to up to 110°C, also transfer case temp increases substantially. Likely a result of the massive heat flow under the vehicle & radiation from exhaust piping...