Geometry of wrap profiles in co-rotating scroll compressors

Due to their high level of reliability, low noise, and relatively higher efficiency, scroll compressors have gained extensive popularity among existing gas compression technologies. Unlike the orbital version of this technology that is commercially available, the co-rotating type is yet in the research and development stage. The latter is expected to achieve a lower noise level and higher specific power. To investigate the physics of these devices, a succinct mathematical tool is required to construct and analyse their geometry. In this paper, we introduce such a modelling tool for co-rotating scroll compressors including their dual-arc tip profile modification and excluding any manufacturing inaccuracies and clearance gaps between the two scroll components. Using this model, one can easily reproduce the geometry of compression chambers and simulate their motion and transformation over the course of compression.