Abstract: An intersecting vane machine (300), based upon toroidal geometry, has a primary rotor (302) and a plurality of secondary rotors (304). The rotor (302) has a plurality of primary vanes (314) in between which exists primary chambers (316). The rotors (304) have a plurality of secondary vanes (318) in between which exist secondary chambers (320). The machine (300) achieves a cyclic positive displacement pumping action by the interaction of the primary vanes (314) with the secondary vanes (318) as the primary rotor (302) and the secondary rotors (304) rotate. The volumetric ratios between the primary chambers (316) and the secondary chambers (320) are configurable and can be made equal or unequal to one another.