what is the definition of a Roots SC?
the real roots had 2 lobes per rotor, straight lobes, and no internal compression.
then was "twisted lobe" roots, with 60deg? twist (current eatons).
TVS has 4 lobes with progressive pushing of the air. the only thing stopping it from having internal compression is length.
same as you can make a "twinscrew" shorter and have no compression.
the lysholm design (imo) refers to the type of male/female lobe engagement style...
i don't profess to be an SC guru.. but that guru is wrong

.... or maybe all SC's are roots? or maybe none?
anyway, SC12/14 are Roots SC. 2 straight lobes.
it depends what efficiency you are talking about? VE? fuel per kw, fuel per engine cycle etc etc...
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