It has come to my attention that an identical machine has already been conceptualized and patented US patent # 20030012675 A1
It seems everything has already been invented
Models:
https://docs.google.com/open?id=0Bz85oSr4b0ZAMmIxYzlkZTEtMzExNS00ZTgzLWJmZmItNDVjMWI2NmFkYzNi
The current screw profile is not sealed ie: some leakage can occur from one discrete air pocket to the next, and the current profile would leak. I believe there may be an air tight profile tho, as some more complicated profiles have been used in screw compressors.