Abstract: The main part of a Labyrinth Screw pump and seal is composed of both threads on the axle and the sleeve, which intersect at an oblique angle. An unit element surrounded by the two sets of threads has been taken as an isolated calculating area. Based on the N-S equation and the continuity equation, the centrifugal force and curvature effect have been neglected. Due to the periodical property along z-direction, it is reasonable to neglect the terms(d/dz)in the equations on the entrance and the middle cross section of the unit element. Thus, the set of equations could be reduced in a simpler form, and the coupling of x-y plane flow with z-direction could be eliminated. Therefore a quasi-state three-dimensional velocity field in the unit element space can be calculated by numerical solutions. Thus the corresponding characteristics of the labyrinth pump and seal may be obtained.

Key words: Pumps, Seals, Navior-Stokes equation, numerical analysis