A Geometric Design Model for the Circolimaçon Positive Displacement Machine

Abstract

A circolimaçon positive displacement machine is driven by a limaçon mechanism, but the profiles of its rotor and housing are circular arcs. As such, its design models are different from those of the limaçon-to-limaçon machines, whose profiles are cut to the limaçon equations. For the benefit of the reader, the paper starts with a brief background on the general geometric aspects of the limaçon fluid processing technology. However, the focus is then turned to the circolimaçon machine, where its design parameters are introduced and geometric models are proposed to assist with the design process. Also, a computational inverse design model has been employed to work out a set of congruent geometric parameters to meet certain design requirements. Case studies are presented at the end of the paper to give the reader a numerical perspective on the design process of this class of positive displacement machines.