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Review of Mathematical Models in Performance Calculation of Screw Compressors

  • Stosic, Nikola ;
  • Smith, Ian K. ;
  • Kovacevic, Ahmed ;
  • Mujic, Elvedin
  • Received : 2011.01.10
  • Accepted : 2011.03.11
  • Published : 2011.06.30

Abstract

The mathematical modelling of screw compressor processes and its implementation in their design began about 30 years ago with the publication of several pioneering papers on this topic, mainly at Purdue Compressor Conferences. This led to the gradual introduction of computer aided design, which, in turn, resulted in huge improvements in these machines, especially in oil-flooded air compressors, where the market is very competitive. A review of progress in such methods is presented in this paper together with their application in successful compressor designs. As a result of their introduction, even small details are now considered significant in efforts to improve performance and reduce costs. Despite this, there are still possibilities to introduce new methods and procedures for improved rotor profiles, design optimisation for each specified duty and specialized compressor design, all of which can lead to a better product and new areas of application. A review of methods and procedures which lead to modern screw compressor practice is presented in this paper. This paper is intended to give a cross section through activities being done in mathematical modelling of screw compressor process through last five decades. It is expected to serve as a basis for further contributions in the area and as a challenge to the forthcoming generations of scientists and engineers to concentrate their efforts in finding future and more extended approaches and submit their contributions.

Keywords

Screw Compressor;Mathematical Model;Performance Calculation

References

  1. Amosov P. E. et al, 1977, "Vintovie kompresornie mashinii - Spravochnik (Screw Compression Machines - Handbook)," Mashinstroienie, Leningrad.
  2. Andreev P. A., 1961, "Vintovie kompressornie mashinii (Screw Compression Machines)," SUDPROM Leninngrad
  3. Arbon I. M., 1994, "The Design and Application of Rotary Twin-shaft Compressors in the Oil and Gas Process Industry," MEP London.
  4. Astberg A., 1982, Patent GB 2092676B.
  5. Bammert K., 1979, Patent Application FRG 2911415.
  6. Bein T. W. and Hamilton J. F., 1982, "Computer Modelling of an Oil Flooded Single Screw Air Compressor," International Compressor Engineering Conference at Purdue, 127.
  7. Benson R. S., Ucer A S, 1972, "Some Recent Research in Gas Dynamic Modelling of Multiple Single Stage Reciprocating Compressor Systems," International Compressor Engineering Conference at Purdue.
  8. Bowman J. L., 1983, US Patent 4,412,796.
  9. Broglia T., Iobbi M. and Stosic N., 2006, "Improving the Capacity and Performance of Air-Conditioning Screw Compressors," IMECE 2006, ASME Congress, Chicago, November 2006. https://doi.org/10.1115/IMECE2006-13121
  10. Chia-Hsing C., 1995, US Patent 5,454,701.
  11. Dagang X., Xion Z., Yu Y., 1986, "The Computer Simulation of Oil-Flooded Refrigeration Twin-Screw Compressor," International Compressor Engineering Conference at Purdue, 345.
  12. Delash T., Leyderman A., Stosic N., Smith I. K. and Kovacevic A., 2009, "Rotor Retrofit for Better Screw Compressor Performance in Refrigeraion and Air Conditioning," International Conference on Compressors and Their Systems, pp. 67-76, London.
  13. Edstroem S. E., 1974, US Patent 3,787,154.
  14. Edstroem S. E., 1989, "Quality Classes for Screw Compressor Rotors," Proceedings of IMechE Conference Development in Industrial Compressors, 83.
  15. Edstroem S. E., 1992, "A Modern Way to Good Screw Compressors," International Compressor Engineering Conference Purdue, 18.
  16. Golovintsov A. G. et al, 1964, "Rotatsionii kompresorii (Rotary Compressors)," Mashinostroenie, Moscow.
  17. Fleming J. S., Tang Y., 1994, "The Analysis of Leakage in a Twin Screw Compressor and its Application to Performance Improvement," Proceedings of IMechE, Journal of Process Mechanical Engineering, Vol. 209, 125. https://doi.org/10.1243/PIME_PROC_1995_209_239_02
  18. Fleming J. S., Tang Y., Cook G., 1998, "The Twin Helical Screw Compressor," Part 1, Development, Applications and Competetive Position, Part 2, A Mathematical Model of the Working process, Proceedings of the IMechEng, Journal of Mechanical Engineering Science, Vol. 212, p. 369. https://doi.org/10.1243/0954406981521295
  19. Fujiwara M., Mori H. and, Suwama T., 1974, "Prediction of the Oil Free Screw Compressor Performance Using Digital Computer," International Compressor Engineering Conference at Purdue, 186.
  20. Fujiwara M., Kasuya K., Matsunaga T., and Watanabe M., 1984, "Computer Modeling for Performance Analysis of Rotary Screw Compressor," International Compressor Engineering Conference at Purdue, 536.
  21. Fujiwara M., Osada Y., 1995, "Performance Analysis of Oil Injected Screw Compressors and their Application," Int. J. Refrig Vol. 18, 4. https://doi.org/10.1016/0140-7007(94)P3707-8
  22. Fukazawa Y. and Ozawa U., 1980, "Small Screw Compressors for Automobile Air Conditioning Systems," International Compressor Engineering Conference at Purdue, 323.
  23. Hanjalic K., Stosic N., 1997, "Development and Optimization of Screw Machines with a Simulation Model," Part II, Thermodynamic Performance Simulation and Design, ASME Transactions, Journal of Fluids Engineering, Vol. 119, p 664. https://doi.org/10.1115/1.2819295
  24. Holmes C. S. and Stephen A. C, 1999, "Flexible Profile Grinding of Screw Compressor Rotors," International Conference on Compressors and Their Systems, ImechE London.
  25. Hough D., Morris S. J., 1984, Patent Application GB 8413619.
  26. Kasuya K. et al, 1983, US Patent 4,406,602.
  27. Kauder K., Harling H. B., 1994, "Visualisierung der Olverteilung in Schraubenkompressoren," Proc. VDI Tagung "Schraubenmaschinen 94," Dortmund VDI Berichte 1135.
  28. Konka K-H, 1988, Schraubenkompressoren (Screw Compressors) VDI-Verlag, Duesseldorf.
  29. Kovacevic A., N. Stosic, Smith I. K., Mujic E. and Guerrato D., 2008, "Advances in Numerical and Experimental Investigation of Screw Compressors," International Conference on Compressor and Refrigeration, Xian, China, September 2008, pp. 288-298.
  30. Lee H-T, 1988, US Patent 4,890,992.
  31. Litvin F. L., 1994, "Gear Geometry and Applied Theory," Prentice-Hill, Englewood Cliffs, NJ.
  32. Lysholm A., 1967, US Patent 3,314,598.
  33. MacLaren J. F. T., Tramschek A. B. and Pastrana O. F., 1974, "A Study of Boundary Conditions Encountered in Reciprocating," Compressor Systems International Compressor Engineering Conference at Purdue, 33.
  34. Margolis D. L., 1978, "Analytical Modelling of Helical Screw Turbines for Performance Prediction," J.Engr.for Power 100(3)482. https://doi.org/10.1115/1.3446383
  35. McCreath P., Stosic N., Kovacevic A., Smith I. K., 2001, "The Design of Efficient Screw Compressors for Delivery of Dry Air," International Conference Compressors and Their Systems, London 2001.
  36. Meyers K., 1997, "Creating the Right Environment for Compressor Bearings," Evolution, SKF Industrial Journal, Vol. 4, 21.
  37. Mujic E., Stosic N., Smith I K and Kovacevic A, 2006, "The Influence of Discharge Ports on Rotor Contact in Screw Compressors," 18th International Compressor Engineering Conference at Purdue, July 2006.
  38. O'Neill P. A., 1993, Industrial Compressors, Theory and Equipment, Butterworth- Heinemann, Oxford.
  39. Nilson, 1952, US Patent 2,622,787.
  40. Nouri, J. M., D. Gurrato, N. Stosic and C. Arcoumanis and Kovacevic A., 2006, "Cycle Resolved Velocity Measurements within a Screw Compressor," 18th International Compressor Engineering Conference at Purdue, July 2006.
  41. Nouri, J. M., Gurrato D., Stosic N. and Arcoumanis C., 2007a, "Axial Flow Characteristics within a Screw Compressor HVAC&R Research Journal," Vol. 14 (2007), No. 2, 259-274. https://doi.org/10.1080/10789669.2008.10391007
  42. Nouri, J. M., Gurrato D., Stosic N., Smith I. K. and Arcoumanis D., 2007b, "Flow Measurements in the Discharge Port of a Screw Compressor," Journal of Process Mechanical Engineering, Part E, November 2008, 222(E4), pp. 211-223. https://doi.org/10.1243/09544089JPME200
  43. Ohman H., 1999: US Patent.
  44. Peng N., Xing Z., 1990, "New Rotor Profile and its Performance Prediction of Screw Compressor," International Compressor Engineering Conference At Purdue, 18.
  45. Prakash R., Singh R., 1974, "Mathematical Modeling and Simulation of Refrigerating Compressors," International Compressor Engineering Conference at Purdue, 274.
  46. Rinder L., 1979, Schraubenverdichter (Screw Compressors), Springer Verlag, New York.
  47. Rinder L., 1984, Schraubenverdichterlaeufer mit Evolventenflanken, Proc. VDI Tagung, Schraubenmaschinen 84 VDI Berichte Nr. 521 Duesseldorf.
  48. Rinder L., 1987, US Patent 4,643,654.
  49. Sauls J., 1994, "The Influence of Leakage on the Performance of Refrigerant Screw Compressors," Proc. VDI Tagung "Schraubenmaschinen 94," Dortmund VDI Berichte 1135.
  50. Sauls J., 1998, "An Analytical Study of the Effects of Manufacturing on Screw Rotor Profiles and Rotor Pair Clearances, "Proc. VDI Tagung "Schraubenmaschinen 98," Dortmund VDI Berichte 1391.
  51. Sakun I. A., 1960, Vintovie kompresorii, Mashinostroenie Leningrad.
  52. Sangfors B., 1982, "Analytical Modeling of Helical Screw Machine for Analysis and Performance Prediction," International Compressor Engineering Conference at Purdue, 144.
  53. Sangfors B., 1984, "Computer Simulation of the Oil Injected Twin Screw Compressor," International Compressor Engineering Conference at Purdue, 528.
  54. Shibbie, 1979, US Patent 4,140,445.
  55. Singh P. J. and Patel G. C., 1984, "A Generalized Performance Computer Program for Oil Flooded Twin -Screw Compressors," International Compressor Engineering Conference at Purdue, 544.
  56. Singh P. J., Onuschak A. D., 1984, "A Comprehensive Computerized Method For Twin Screw Rotor Profile Generation and Analysis," Purdue Compressor Technology Conference 544.
  57. Singh P. J., Schwartz J. R., 1990, "Exact Analytical Representation of Screw Compressor Rotor Geometry," International Compressor Engineering Conference At Purdue, 925.
  58. Stosic N., Hanjalic K., Kovacevic A. and Milutinovic Lj, 1988, "Mathematical Modelling of the Influence of Oil on the Working Cycle of Screw Compressors," Proc Int Compressor Conf at Purdue.
  59. Stosic N., Milutinovic Lj, Hanjalic K. and Kovacevic A., 1992, "Investigation of the Influence of Oil Injection upon the Screw Compressor Working Process," Int. J. Refrig. 15, 4, 206. https://doi.org/10.1016/0140-7007(92)90051-U
  60. Stosic N., 1996, Patent Application GB 9610289.2.
  61. Stosic N., Hanjalic K., 1997, "Development and Optimization of Screw Machines with a Simulation Model, Part I, Profile Generation," ASME Transactions, Journal of Fluids Engineering, Vol. 119, p. 659. https://doi.org/10.1115/1.2819295
  62. Stosic N., Smith I. K, Kovacevic A, Aldis C. A, 1997, "The Design of a Twin-screw Compressor Based on a New Profile," Journal of Engineering Design, Vol. 8, 389. https://doi.org/10.1080/09544829708907973
  63. Stosic N., 1998, "On Gearing of Helical Screw Compressor Rotors, Proceedings of IMechE," Journal of Mechanical Engineering Science, Vol. 212, 587. https://doi.org/10.1243/0954406981521556
  64. Stosic N., Kovacevic A. and Smith I. K., 2002, "Influence of Rotor Deflection upon the Screw Compressor Process," Schrauben maschinentagung, Dortmund, September 2002.
  65. Stosic N., Smith I. K. and Kovacevic A., 2003, "Improving Refrigeration Screw Compressor Performance with Optimised Rotors," IMechE International Conference on Compressors and Their Systems, London, September 8-10, 2003.
  66. Stosic N., Smith I. K. and Kovacevic A., 2003, "Extension of Operating Range of Dry Screw Compressors by Cooling of Their Rotors," 17th International Compressor Engineering Conference at Purdue, July 2004.
  67. Stosic N., Smith I. K. and Kovacevic A., 2003a, "Rotor Interference as a Criterion for Screw Compressors Design," Journal of Engineering Design, Vol. 14, No. 2, pp. 209-220, 2003. https://doi.org/10.1080/0954482031000091518
  68. Stosic N., Smith I. K. and Kovacevic A., 2003b, "Opportunities for Innovation with Screw Compressors," Proceedings of IMechE, Journal of Process Mechanical Engineering, Vol. 217, pp. 157-170, 2003. https://doi.org/10.1177/095440890321700301
  69. Stosic N., Smith I. K. and Kovacevic A., 2003c, "Optimisation of Screw Compressors," Applied Thermal Engineering, 23, pp. 1177-1195, 2003. https://doi.org/10.1016/S1359-4311(03)00059-0
  70. Stosic N., 2004, "Screw Compresors in Refrigeration and Air Conditioning," Int. Journal of HVACR Research, 10(3) pp. 233-263, July 2004. https://doi.org/10.1080/10789669.2004.10391102
  71. Stosic N., Smith I. K. and Kovacevic A., 2005a, "Screw Compressors, Mathematical Modeling and Performance Calculation, Monograph," Springer Verlag, Berlin, June 2005, ISBN, 3-540-24275-9.
  72. Stosic N., Smith I. K., Kovacevic A., Jung-uk Kim and Park J., 2005b, "Improving Screw Compressor Performance," Proceedings of International Conference on Compressors and their Systems, IMechE London, September 2005. ISBN 0-470-02576-X, pp. 13-23.
  73. Stosic N., Mujic E., Smith I. K. and Kovacevic A., 2007, "Development of a Rotor Profile for Silent Screw Compressor Operation," International Conference Compressors and Their Systems, London.
  74. Stosic N., Smith I. K., Kovacevic A. and Mujic E., 2008, "Geometry of Screw Compressor Rotors and Their Tools," International Conference on Compressor and Refrigeration, Xian, China, September, pp. 6-31.
  75. Stosic N., Smith I. K., Kovacevic A. and Mujic E., 2010, "Research in Water Lubricated Screw Compressors for Fuel Cell Aplication," FC Expo, Academic Forum, Tokyo, March 2010.
  76. Tang Y., Fleming J. S., 1992, "Obtaining the Optimum Geometrical Parameters of a Refrigeration Helical Screw Compressor," International Compressor Engineering Conference at Purdue 213.
  77. Tang Y., Fleming J. S., 1994, "Clearances between the Rotors of Helical Screw Compressors," Their determination, Optimization and Thermodynamic Consequences, Proceedings of IMechE, Journal of Process Mechanical Engineering, Vol. 208, 155. https://doi.org/10.1243/PIME_PROC_1994_208_222_02
  78. Venumadhav K., Stosic N., Kovacevic A., Smith I. K., 2001, "The Design of a Family of Screw Compressors for Oil-Flooded Operation," International Conference Compres-sors and Their Systems, London 2001.
  79. Xing Z. W., 2000, Screw Compressors, Machine Press, Beijing
  80. Xion Z., Dagang X., 1986, "Study on Actual Profile Surface and Enganging Clearance of Screw Compressor Rotors," Purdue Compressor Technology Conference 239.
  81. Zhang W. M., Stosic N., Smith I. K. and Kovacevic A., 2005, "An Investigation of Liquid Injection in Refrigeration Screw Compressors," ICCR the 5th International Conference on Compressors and Refrigeration, Dalian, July 2005
  82. Zhang W. M., Stosic N., Smith I. K. and Kovacevic A., 2006, "New Design and Rotor Retrofit to Improve Capacity and Performance of Refrigeration Screw Compressors," 18th International Compressor Engineering Conference at Purdue, July 2006 Compressor Technology Conference 314.
  83. Zhang L., Hamilton J. F., 1992, "Main Geometric Characteristics of the Twin Screw Compressor," International Compressor Engineering Conference at Purdue 213.

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