This is an older modeling tutorial, but some might not be aware of it. The tutorial goes over modeling the engine, setting upÂ a system of constraints to animate the modelÂ and even setting up a simple particle system to simulate the engine exhaust.
The author says the following of the tutorial:
I've seen a lot of good (Blender) animations, made by skilled people, which involved jet engines. Unfortunately, most of them didn't look too impressive as far as the jet engines are concerned. Hoping I could do a better job myself (and whether I did, I'll leave up to you...), I decided to investigate the matter and experiment until I had a convincing result. For the maximum effect, I decided to make a thrust vectoring jet engine, as opposed to a fixed jet, suitable for animation. This involved a complex set of constraints and particle physics, but it worked out very well.