The paper presents a general algorithm for the specification of a screw machine geometry. The conjugancy condition was solved numerically which thereby enables a variety of primary arc curves to be introduced. In addition, an optional numerical derivation of primary arcs enables any analytical function and even discrete point functions to be used for the primary arc. The approach also simplifies the design procedure since only primary arcs need be given. Secondary arcs are then generated automatically. This procedure is not sensitive to the location of the primary arc, a primary arc can be located either on the main or gate rotor. Any other rotor and also a rack (a rotor of an infinite radius) can be used as a location of the primary arc. All combinations are allowed and the most efficient profiles were obtained by the combined rotor- rack generation procedure.
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