Why only single stage compressor turbines?

[Bill W G S]

To all those more experienced than me. Why are there no multiple stage turbines available? Would not greater compression create greater thrust at about the same size and weight of a single stage turbine?

[JetPlaneFlyer]

I'm no expert but I'd assume it's because model aircraft turbines use centrifugal compressors. Centrif compressors are capable of quite high compression ratio in a single stage, the down side is they have limited flow rate.
The axial type compressor, as used in most full size aero turbines, are capable of passing higher flowrates but cannot achieve very high compression ratios without resourting to multiple stages. Which is the reason these engines have many compression stages

I think also that high compression turbines are more difficult to design and set up correctly, they are more prone to 'surge' amoung other issues.

[markschaffin]

Weight(?), over all egine length, and probably cost is the biggest reason I would guess. I've gotta believe that a centrifugal compressor is much simpler to build, and definitely would have fewer parts.

A lot of small turbine engines used on business jets have a centrifugal compressor as the final compression stage.