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Abstract: A single screw compressor (SSC) is an important component found in many refrigeration systems. However, the durability is not so good because of the friction between its meshing pair. Therefore the column envelope meshing pair was proposed to prolong the operating life of SSCs, although it has not been applied to commercial refrigeration systems. To accelerate the industrial application, a mathematical model for analyzing the column envelope meshing pair is established based on the geometry and kinematics. Equations giving the flanks of column envelope grooves are obtained, and teeth flank meshing with the groove is designed. Results show that this model could be applicable in the design of the column envelope type SSC.

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