Abstract
Rotor profile is a critical factor affecting the performance of Roots vacuum pumps. Hence, research on rotor profiles of Roots vacuum pumps is important. The rotor profiles are mainly composed of arcs, involutes, cycloids, epicycloid, and combined curves. Moreover, the two rotor profiles form a pair of conjugate curves. To obtain a parabolic rotor profile, transformations of three coordinate systems are established to derive equations and analyze the parabolic curve and its conjugate curve. Additionally, the parameters of the parabolic rotor profile are discussed to determine their ranges and the relationship between the performance of a parabolic rotor profile and the independent parameters. The results indicate that the area efficiency of the parabolic rotor profile is greater than the area efficiency of the arc rotor profile for the same ratio of the top circle radius to pitch circle radius.
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