This is an older modeling tutorial, but some might not be aware of it. The tutorial goes over modeling the engine, setting up a system of constraints to animate the model 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.
The .blend files are even available for download. Find the tutorial here. And the original thread at Blenderartists announcing the tutorial can be found here.
