Patent ID: 8517706

Claim:
An apparatus, comprising: at least one chamber rotor, located on a first shaft, the chamber rotor including at least one chamber with a first and second chamber walls; at least one extension rotor, located on a second shaft, the extension rotor including at least one extension with first and second extension walls; and a rotor case that houses the rotors, wherein, during rotation of the rotors, the chamber wall and extension wall seal against one another to develop compression of a fluid in the at least one chamber, wherein the first and second extension walls have shapes determined by repeatedly solving equations: X=[A+C ] Cos(Theta−Theta — 1)−[ C ] Cos(([ A+C]/[C ])Theta), and Y=[A+C ] Sin(Theta−Theta — 1)−[ C ] Sin(([ A+C]/[C ])Theta), where A=chamber rotor radius, C=extension rotor radius, Theta — 1 corresponds to a selected compression ratio, Theta has a starting value of zero radians and Theta is first positively incremented and then negatively incremented.