Progressing cavity pumps have been brought into wide use because of its predominant application in the oil field. The multilobe pumps are making inroads into the industry to be used under different operating conditions. Although the design has been mainly based on empirical standards and trail and error modifications, a more phenomenally optimum design of the pump is required to achieve a high efficiency.In this thesis, the multi-lobe single screw pump is taken as the research object. The conjugate tooth profiles of the rotor and stator are studied, on the condition that the stator comes into rigid contact with the rotor, and neglecting the practical influencing factors at the oil field.According to the theory of mulitlobe pumps, mulitlobe pumps are divided into end-section and axial direction. After a detailed analysis and comparison, two plans are proposed as follows: (1) the curtate hypocycloid is chosen to be the original flank profile of stator while the conjugate tooth profiles to be the flank profile of the rotor, (2) the curtate epicycliod is chosen to be the original flank profile of rotor while the conjugate tooth profiles to be flank profile of the stator.Through mathematical deduction of two plans, the mathematical equations of the stator and rotor are obtained. UG software is used to model the stator and rotor of the mulitlobe pumps. In the UG software, UG/OPEN GRIP is induced to build a mathematical expression of axial direction. Finally, a kinematic analysis of mulitlobe pumps is perfromed.
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