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TECHNICAL PAPERS

New Iterative Scheme in Computer Simulation of Positive Displacement Compressors Considering the Effect of Gas Pulsations

[+] Author and Article Information
W. Zhou

Aeroacoustic and Vibration Research, Corporate Technology, Carrier Corporation Carrier Parkway, P.O. Box 4808, Syracuse, NY 13221

J. Kim

Structural Dynamic Research Laboratory, Department of Mechanical, Industrial and Nuclear Engineering, University of Cincinnati, Cincinnati, OH 45221-0072

W. Soedel

Ray W. Herrick Laboratories, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907

J. Mech. Des 123(2), 282-288 (Oct 01, 1999) (7 pages) doi:10.1115/1.1362320 History: Received October 01, 1999
Copyright © 2001 by ASME
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References

Soedel, W., 1972, “Introduction to Computer Simulations of Positive Displacement Type Compressors,” Short Course Text in Ray Herrick Laboratories, School of Mechanical Engineering, Purdue University.
Hamilton, J. F., 1974, “Extension of Mathematical Modeling of Positive Displacement Type Compressors,” Short Course Text in Ray Herrick Laboratories, School of Mechanical Engineering, Purdue University.
Kim, J., 1988, “Simulation of a High Speed Compressor with Special Attention to Gas Pulsations in Three Dimensional Continuous Cavities,” Ph.D. Thesis, School of Mechanical Engineering, Purdue University.
Kim, H. J., 1992, “Computer Simulation of Gas Pulsation Generated Sound in Compressors,” Ph.D. Thesis, School of Mechanical Engineering, Purdue University.
Singh,  R., and Soedel,  W., 1979, “Interpretation of Gas Oscillations in Multicylinder Fluid Machinery Manifolds by Using Lumped Parameter Descriptions,” J. Sound Vib., 63, No. 1, pp. 125–143.
Wambsganss, M. D., 1966, “Mathematical Modeling and Design Evaluation of High-speed Reciprocating Compressors,” Ph.D. Thesis, School of Mechanical Engineering, Purdue University.
Soedel, W., 1978, “Gas Pulsation in Compressor and Engine Manifolds,” Short Course Text in Ray Herrick Laboratories, School of Mechanical Engineering, Purdue University.
Brablik, J., 1972, “Gas Pulsations as Factor Affecting Operation of Automatic Valves in Reciprocating Compressors,” Proceedings of the 1972 Purdue Compressor Technology Conference, Purdue University, West Lafayette, Indiana, pp. 188–195.
Soedel,  W., Navas,  E. P., and Kotalik,  B. D., 1973, “On Helmholtz Resonator Effects in the Discharge System of a Two Cylinder Compressor,” J. Sound Vib., 30, No. 3, pp. 263–277.
Kim, J., and Soedel, W., 1990, “Convergence of Gas Pulsation Simulations when Combining Time and Frequency Domains Iteratively,” Proceedings of the 1990 International Compressor Engineering Conference, Purdue University, West Lafayette, Indiana, pp. 641–646.
Elson,  J. P., and Soedel,  W., 1974, “Simulation of the Interaction of Compressor Valves with Acoustic Back Pressures in Long Discharge Lines,” J. Sound Vib., 34, No. 2, pp. 211–220.
Singh, R., 1975, “Modeling of Multicylinder Compressor Discharge System,” Ph.D. Thesis, School of Mechanical Engineering, Purdue University.
Kim, J., and Soedel, W., 1990, “Parameter Study of Positive Reciprocating Piston Compressor with Special Attention to Valve Port Areas,” Proceedings of 1990 International Compressor Engineering Conference, Purdue University, West Lafayette, Indiana, pp. 634–640.
Shih, Y., 1994, “Development of a Software for Compressor Gas Manifold Design by Utilizing Rule Based Optimization Approaches,” Ph.D. Thesis, Department of Mechanical, Industrial, and Nuclear Engineering, University of Cincinnati.
Adams, G. P., and Soedel, W., 1994, “A Method for Computing the Compression Loads in Twin Screw Compressors,” Proceedings of the 1994 International Compressor Engineering Conference, Purdue University, West Lafayette, Indiana, pp. 67–72.
Liu, R., and Zhou, Z., 1984, “Heat Transfer between Gas and Cylinder Wall of Refrigerant Reciprocating Compressor,” Proceedings of the 1984 International Compressor Engineering Conference, Purdue University, West Lafayette, Indiana, pp. 110–115.
Escanes, F., et al., 1996, “Numerical Simulation of Hermetic Reciprocating Compressors,” Proceedings of 1996 International Compressor Engineering Conference, Purdue University, West Lafayette, Indiana, pp. 193–198.
Schwerzler, D. D., and Hamilton, J. F., 1972, “An Analytical Method for Determining Effective Flow and Force Areas for Reciprocating Compressor Valving Systems,” Proceedings of the 1972 Purdue Compressor Technology Conference, Purdue University, West Lafayette, Indiana, pp. 30–36.
Kim,  J., and Soedel,  W., 1989, “General Formulation of Four Pole Parameters for Three-dimensional Cavities Utilizing Modal Expansion, with Special Attention to the Annular Cylinder,” J. Sound Vib., 129, No. 1, pp. 237–254.
Zhou,  W., and Kim,  J., 1999, “Formulation of Four Poles of Three-dimensional Acoustic Systems from Pressure Response Functions with Special Attention to Source Modeling,” J. Sound Vib., 219, No. 1, pp. 89–103.
Soedel, W., 1967, “Development of Method for the Analytical and Experimental Investigation of Large Axisymmetrical Deflection of Shallow Thin Shells of Revolution,” Ph.D. Thesis, School of Mechanical Engineering, Purdue University.

Figures

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Reciprocating compressor mechanism (connecting rod type)
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Schematic diagram of the mass flow through a compressor valve
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Operation process of a prototype compressor indicated by simulated curves. (a) P-V diagram; (b) P-θ diagram.
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Unstable convergence of suction cavity pressure, —— : 4th iteration, - - - - : 5th iteration
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Configuration of the compressor manifolds and boundaries used as the example simulation
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Convergence trend shown by iteration speed. (a)—used in suction cavity; (b)—used in discharge cavity.
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Convergence trend shown by average pulsating pressures. (a)—in suction cavity; (b)—in discharge cavity.
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Idealized one dimensional model for valve motions
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Effective flow area of compressor valve
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Effective force area of compressor valve
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Generalized case of acoustic elements in series
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Flow chart of simulation program

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