Single sliding vane rotary displacement pump

A method of making a sliding vane rotary pump comprising the steps of:

• producing a stator having a bore with a bore wall;
• producing a rotor having a slot therethrough;
• producing a vane having a centroid and two opposed tip regions;
• slidably engaging the vane into the slot of the rotor;
• and
• rotatably fixing the rotor and slidably engaged vane into the bore about a central axis of the rotor such that the two opposed tip regions of the vane each have a contact point where the vane contacts the wall of the bore of the stator and such that the vane the centroid follows a circular path as the vane slidably moves within the slot of the rotor as the rotor rotates and induces the vane to slidably move within the slot under contact with the wall of the bore at the contact point of each of the two opposed tip regions;
• wherein the two opposed tip regions are each a circular are having a common constant vane tip radius;
• wherein the bore wall is defined by an x coordinate of −(2*re+rR−rT)*sin(θ)−re*sin(2*θ) from the central axis added to an x radial offset of a circular rotor tip contact and a y coordinate of (2*re+rR−rT)*cos(θ)+re*cos(2*θ) from the central axis added to a y radial offset of the circular rotor tip contact;
• and
• wherein re is a selected radius of eccentricity, rR is a rotor radius, rT is the common constant vane tip radius and θ is an angular position of the rotor swept through 360 degrees.