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Most efficienct Supercharger?

I think the roots-type or centrifugal superchargers are both relatively efficient. The roots-type definitely makes the most heat, but a twin-screw SC will actually consume power at low rpms when it isn't boosting.

EDIT: Forgot some stuff. A centrifugal SC creates less heat, but it also isn't very good at making power at low-to-mid rpms, so the power it creates is at the top of the revs. While it may technically be more efficient than a roots-type blower, that doesn't account for the usability of the delivered power.
 
in terms of efficiency a centrifugal SC is more efficient than a roots or screw type. However, a turbo is more efficient than either.
 
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