Geometrical analysis of a scroll compressor and fluid mechanical modeling

Abstract

The importance of the geometrical description of the scroll wraps for scroll compressor models was shown in Blunier et al. (2006). In fact, geometry is one of the main factors affecting the efficiency of the compressor so that the geometry of scroll wraps has to be known before establishing an accurate thermodynamic model. Via formal calculus, this paper uses the novel description of the geometry based on the parametric equations for the circle involutes of Blunier et al. (2006), existence conditions of the conjugacy points on the circle involutes are also considered. Finally, a new coupled model which is based on synchronized pistons is introduced in order to couple the proposed geometric model with the thermodynamic model.