A Computationally Efficient Hybrid Leakage Model for Modeling Leakage in Positive Displacement Compressors

An empirical frictional correction factor to the isentropic nozzle model has been developed for application to leakage modeling in scroll, rotary and other similar compressors. This correction factor is derived by calculating the leakage mass flow with a compressible, variable area, real gas properties model and then correlating the ratio of this flow to the isentropic nozzle model prediction. The ratio of flows is correlated to the Reynolds number, a characteristic length and the leakage gap width. A representative selection of fluids and geometries are employed, and the correlations predict at least 93% of the detailed model results within an absolute error band of 20%.

[1]  Masato Ikegawa,et al.  Computer Modeling of Scroll Compressor with Self Adjusting Back-Pressure Mechanism , 1984 .

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

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

[4]  B. C. Lee,et al.  A Study On The Leakage Characteristics Of Tip Seal Mechanism In The Scroll Compressor , 2002 .

[5]  Xi’an Jiatong.  Calculating Model and Experimental Investigation of Gas Leakage , 2014 .

[6]  Ian H. Bell,et al.  Theoretical and Experimental Analysis of Liquid Flooded Compression in Scroll Compressors , 2011 .

[7]  D. J. Kang,et al.  Effects Of Leakage Flow Model On The Thermodynamic Performance Of A Scroll Compressor , 2002 .

[8]  S. Iwamura,et al.  Refrigerant Leakage Flow Evaluation for Scroll Compressors , 1996 .

[9]  R. Puff,et al.  Influence of the Main Constructive Parameters of a Scroll Compressor on its Efficiency , 1992 .

[10]  B. C. Lee,et al.  The Characteristics of Tip Leakage in Scroll Compressors for Air Conditioners , 2000 .

[11]  Kenji Tojo,et al.  Performance Analysis of Hermetic Scroll Compressors , 1992 .

[12]  Yu-Choung Chang,et al.  Family design of scroll compressors with optimization , 2006 .

[13]  Tadashi Yanagisawa,et al.  Leakage losses with a rolling piston type rotary compressor. II. Leakage losses through clearances on rolling piston faces , 1985 .

[14]  Eric W. Lemmon.  Pseudo-Pure Fluid Equations of State for the Refrigerant Blends R-410A, R-404A, R-507A, and R-407C , 2003 .

[15]  H. Baehr,et al.  An International Standard Formulation for the Thermodynamic Properties of 1,1,1,2‐Tetrafluoroethane (HFC‐134a) for Temperatures from 170 K to 455 K and Pressures up to 70 MPa , 1994 .

[16]  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 .

[17]  Roland Span,et al.  A Reference Equation of State for the Thermodynamic Properties of Nitrogen for Temperatures from 63.151 to 1000 K and Pressures to 2200 MPa , 2000 .

[18]  D. L. Margolis,et al.  Modeling and Simulation of a Scroll Compressor Using Bond Graphs , 1992 .

[19]  W. Wagner,et al.  A New Equation of State for Carbon Dioxide Covering the Fluid Region from the Triple‐Point Temperature to 1100 K at Pressures up to 800 MPa , 1996 .

[20]  P. Suter,et al.  Experimental Analysis of an Inverter-Driven Scroll Compressor with Liquid Injection , 1992 .