Accurate calculations of working chamber volume constructed from involute of variable radii circle with double arcs modification in a scroll type compressor

A mathematical modeling of working chamber volume, constructed from the involute of variable radii circle with double arcs modification, is established in this study. The formulations of working chamber volume which is consisted of the involute of variable radii circle and modified by double arcs at center profiles are accurately deduced, and the orbiting angle of scroll at every moment has a corresponding working chamber volume. The effect of parameters on the working chamber volume is investigated. The different values of initial radius of base circle, starting involute angle, corrected increment, polytropic index and modified angle will change the working chamber volume. Furthermore, the effect of parameters on suction volume and volume ratio has been considered in this study, and the design schemes to obtain the highest volume radio are also studied. These results can be used to provide general implications in calculation of working chamber volume constructed from other type involutes and modifications.