Variable thickness scroll compressor performance analysis—Part I: Geometric and thermodynamic modeling

In order to investigate the performance of variable thickness scroll compressors, a detail mathematical modeling based on energy and mass balances is established in this two-part. In part I, the geometric modeling and thermodynamic modeling are developed. The profile based on circle involute, high order curve, and arc is built up using the base line method. The volume of working chambers from suction to discharge is defined. Thereafter, the evolution and derivative of the working chamber volume with respect to the orbiting angle are discussed. The energy and the mass balance for working chamber are described. Suction gas heating, radial and flank leakage, heat transfer between the working fluid, scroll wraps and plates are considered in the thermodynamic modeling. The established geometric modeling and thermodynamic modeling can provide better understanding of the variable thickness scroll compressor working process. The dynamical modeling and model validation are reported in part II.

[1]  Pengcheng Shu,et al.  Simulation research on scroll refrigeration compressor with external cooling , 2010 .

[2]  Pengcheng Shu,et al.  Theoretical and experimental studies of water injection scroll compressor in automotive fuel cell systems , 2005 .

[3]  W. Janna,et al.  Introduction to Fluid Mechanics , 2012 .

[4]  Yu-Choung Chang,et al.  Study on involute of circle with variable radii in a scroll compressor , 2010 .

[5]  Bin Peng,et al.  Dynamic model for the orbiting scroll based on the pressures in scroll chambers–Part I: Analytical modeling , 2013 .

[6]  Jens Gravesen,et al.  The Geometry of the Scroll Compressor , 2001, SIAM Rev..

[7]  K. Ooi,et al.  Convective heat transfer in a scroll compressor chamber: a 2-D simulation , 2004 .

[8]  Chen Rong,et al.  Discussion on leaking characters in meso-scroll compressor , 2009 .

[9]  N. Ishii,et al.  A Study on Dynamic Behavior of a Scroll Compressor , 1986 .

[10]  Cesar J. Deschamps,et al.  A Numerical Study of Convective Heat Transfer in the Compression Chambers of Scroll Compressors , 2012 .

[11]  Reinhard Radermacher,et al.  Scroll Compressor Simulation Model , 2001 .

[12]  S. G. Penoncello,et al.  Thermodynamic Properties of Air and Mixtures of Nitrogen, Argon, and Oxygen From 60 to 2000 K at Pressures to 2000 MPa , 2000 .

[13]  Cesar J. Deschamps,et al.  A Lumped Thermal Parameter Model for Scroll Compressors Including the Solution of the Temperature Distribution along the Scroll Wraps , 2012 .

[14]  Yu-Choung Chang,et al.  Optimum design of scroll profiles created from involute of circle with variable radii by using finite element analysis , 2012 .

[15]  A. Abdel-azim.  Fundamentals of Heat and Mass Transfer , 2011 .

[16]  James E. Braun,et al.  Mathematical modeling of scroll compressors. Part I: compression process modeling , 2002 .

[17]  Assensi Oliva,et al.  Numerical Simulation of Wrap Scroll Temperature for Refrigeration and Air Conditioning Compressors , 2012 .

[18]  James E. Braun,et al.  Derivation of Optimal Scroll Compressor Wrap for Minimization of Leakage Losses , 2012 .

[19]  Zhang Li.  Geometrical and frictional loss model for scroll compressor with variable scroll thickness , 2012 .

[20]  G. H. Lee.  Performance simulation of scroll compressors , 2002 .

[21]  J. W. Bush,et al.  Maximizing Scroll Compressor Displacement Using Generalized Wrap Geometry , 1994 .

[22]  Bin Peng,et al.  Dynamic model for the orbiting scroll based on the pressures in scroll chambers – Part II: Investigations on scroll compressors and model validation , 2013 .

[23]  Sangkwon Jeong,et al.  Experimental investigation on convective heat transfer mechanism in a scroll compressor , 2006 .

[24]  Yu Chen,et al.  Mathematical modeling of scroll compressors , 2000 .

[25]  Tsutomu Inaba,et al.  Scroll Compressor Analytical Model , 1984 .

[26]  James E. Braun,et al.  Mathematical modeling of scroll compressors — part II: overall scroll compressor modeling , 2002 .

[27]  R. Rajavel,et al.  Heat transfer studies on spiral plate heat exchanger , 2008 .

[28]  R. Shah,et al.  Handbook of single-phase convective heat transfer , 1987 .

[29]  Wenxing Shi,et al.  A general geometrical model of scroll compressors based on discretional initial angles of involute , 2005 .

[30]  Sankar Sunder.  Thermodynamic and heat transfer modeling of a scroll pump , 1997 .

[31]  Honghyun Cho,et al.  Thermodynamic analysis on the performance of a variable speed scroll compressor with refrigerant injection , 2002 .

[32]  James E. Braun,et al.  A Computationally Efficient Hybrid Leakage Model for Modeling Leakage in Positive Displacement Compressors , 2012 .

[33]  Jean Lebrun,et al.  Experimental analysis and simplified modelling of a hermetic scroll refrigeration compressor , 2002 .

[34]  Li Xue-qin.  Construction of tapered thickness wrap profile for twinwrap scroll machinery , 2008 .

[35]  E. Groll,et al.  Variable wall thickness scroll geometry modeling with use of a control volume approach , 2013 .