A portion of the air enters into the blue colored channel, which is called the compressor. This channel has alternating rows of stationary and rotating blades which together work to increase the pressure of the air stream. The air is then delivered into the plenum at a high pressure. The plenum is the small compartment after the row of blue blades which has a fire drawn inside of it. In this compartment the air is mixed with fuel and the mixture is combusted, creating even higher pressure. Because of this high pressure, the air now rushes out the back of the engine through the channel colored in red. This channel has alternating rows of stationary and rotating blades as well, but those blades work in an opposite fashion from the compressor and they extract energy from the flow. This energy is used to drive the compressor, but more importantly, to drive the large fan at the very front (left) of the engine. This fan delivers most of the thrust that the engine produces.
Here
is a link to a list of pages on jet engines. Among other things you
can see how to build your own jet engine, find out what micro jet engines
are and learn more about how the jet engine works and who is doing jet
engine research.