Abstract
Progressive cavity pumps are used in industry for the circulation of high viscosity fluids, such as crude oil and petroleum products, sewage sludge, oils, salt water, and wastewater. Also known as single screw pumps, these pumps are composed of a single rotor which has the shape of a rounded screw, which moves inside a rubber stator. The stator has an double helical internal surface which, together with the helical surface of the rotor, creates a cavity that moves along the rotor. The movement effect of the cavity inside the stator is the movement of the fluid with a constant flow and high pressure. In this paper, an algorithm for profiling the rollers for generating the helical surface of the pump rotor with progressive cavities is proposed. These rollers are constituted as tools for the plastic deformation of the blank (in case the pump rotor is obtained by volumetric deformation) or for its superficial hardening.
Highlights
Pumps with progressive cavities allow the circulation of fluids with high viscosity at a constant flow and high pressure [1,2,3]
This paper presented an algorithm for profiling the rollers for processing the helical surfaces of a pump rotor with progressive cavities
The algorithm is based on the virtual pole method, which is a variant of the normal theorem
Summary
Pumps with progressive cavities allow the circulation of fluids with high viscosity at a constant flow and high pressure [1,2,3]. A new class of pumps that do not use elastomers has been developed, in which the rotor and the stator are made of metal, and are used in drilling activities in high temperature wells [10,11,12,13]. The productive functioning of pumps with progressive cavities depends on proper design of the rotor profiles, respecting the technical conditions of their form. The crosssection form of helical pump rotors as ensembles of profiles associated with the rolling centrodes are determined based on the fundamental theorems of the enveloping surfaces (curves) and calculated based on Olivier’s first theorem, the Gohman general theorem, or the Willis theorem (normals method) [19,20].
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