First off, as a former airline pilot I can say that there was one inaccuracy in this thread - earlier someone said turbines become more efficient at altitude - that is incorrect. Aircraft are more efficient at high altitude because the air is thinner so there is less resistance - in actually there is also less power coming out of the turbine.
Turbines product the most power at sea level and cold temperatures. The colder the better. Really, it comes down to air density, or something called density altitude. Increase the density altitude and you will get less power out of the turbine.
So why aren’t turbines used on RR’s? Well, they are a LOT more expensive than diesels. And FYI there are aircraft that run on diesel engines too. However, turbines have a much higher power to weight ratio than diesel engines do.
Basically, in any internal engine you have 4 phases - intake, compression, combustion, and exhaust (such, squeeze, bang, and blow).
In a diesel, these 4 all happen sequentially. Hence a 4 stroke engine. In a turbine, the 4 happen all simultaneously and continuously. Therefore, your power to weight ratio is a lot higher.
Also, FYI for measuring power in turbine, there are a number of different factors, typically it’s measured by either the TIT (turbine inlet temperature), ITT (inter-turbine temperature), EGT (exhaust gas temperature), or N1 speed (low pressure turbine speed percentage). The limiting factor in any turbine is the TIT, turbine inlet temperature. Depending on the manufacturer of the turbine, max continuous TIT’s are typically 900-1000 degrees C.
TIT is also was makes a turbine efficient - the hotter the TIT, the more efficient it is. But you can only make it so hot until you get metal distortion, so really it’s a materials limitation.
But, as I mentioned earlier turbines are a LOT more expensive than diesels. For aircraft, that makes sense. Weight is a big issue in aircraft, so airliners need a power sour