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Mathematical modeling of torque for single screw expanders

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Abstract

This paper presents a mathematical model of torque for Single screw expanders (SSEs). Instantaneous torque and torque ratio were analyzed and discussed. The periodic variation of instantaneous torque is the same for different inlet pressure levels. The torque ratio, with its value close to 1, is independent of the inlet pressure of SSE. An experimental system was established to measure the torque, power and shaft efficiency of the self-developed SSE prototype, and results were used to validate the model. Comparison shows that the difference between calculated and experimental torque values is small (6.58 N.m to 7.55 N.m). The calculated and experimental output power is similar, with a difference of 2.07 kW to 2.37 kW. Therefore, the proposed model can be used to estimate the torque and output power of SSEs.

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References

  1. C. Sprouse and C. Depcik, Review of organic Rankine cycles for internal combustion engine exhaust waste heat recovery, Applied Thermal Engineering, 51 (1–2) (2013) 711–722.

    Article  Google Scholar 

  2. M. Imran, B. S. Park, H. J. Kim, D. H. Lee and M. Usman, Economic assessment of greenhouse gas reduction through low-grade waste heat recovery using organic Rankine cycle (ORC), Journal of Mechanical Science and Technology, 29 (2) (2015) 835–843.

    Article  Google Scholar 

  3. E. Yun, H. Park, Y. Y. Sang and K. C. Kim, Dual parallel organic Rankine cycle (ORC) system for high efficiency waste heat recovery in marine application, Journal of Mechanical Science and Technology, 29 (6) (2015) 2509–2515.

    Article  Google Scholar 

  4. E. H. Wang, H. G. Zhang, B. Y. Fan and Y. T. Wu, Optimized performances comparison of organic Rankine cycles for low grade waste heat recovery, Journal of Mechanical Science and Technology, 26 (8) (2012) 2301–2312.

    Article  Google Scholar 

  5. X. W. Gong, X. Q. Wang, Y. R. Li and C. M. Wu, Thermodynamic performance analysis of a coupled transcritical and subcritical organic Rankine cycle system for waste heat recovery, Journal of Mechanical Science and Technology, 29 (7) (2015) 3017–3029.

    Article  Google Scholar 

  6. G. Q. Qiu, H. Liu and S. Riffat, Expanders for micro-CHP systems with organic Rankine cycle, Applied Thermal Engineering, 31 (16) (2011) 3301–3307.

    Article  Google Scholar 

  7. Y. T. Wu, B. Lei, C. F. Ma, L. Zhao, J. F. Wang, H. Guo and Y. W. Lu, Study on the characteristics of expander power output used for offsetting pumping work consumption in organic Rankine cycles, Energies, 7 (2014) 4957–4971.

    Article  Google Scholar 

  8. X. L. Luo, Z. T. Yi, Z. W. Chen, Y. Chen and S. P. Mo, Performance comparison of the liquid-vapor separation, parallel flow, and serpentine condensers in the organic Rankine cycle, Applied Thermal Engineering, 94 (2016) 435–448.

    Google Scholar 

  9. S. Y. Wu, C. Li, L. Xiao, Y. R. Li and C. Liu, The role of outlet temperature of flue gas in organic Rankine cycle considering low temperature corrosion, Journal of Mechanical Science and Technology, 28 (12) (2014) 5213–5219.

    Article  Google Scholar 

  10. J. J. Xu, X. L. Luo, Y.Chen and S. P. Mo, Multi-criteria design optimization and screening of heat exchangers for a subcritical ORC, Energy Procedia, 75 (2015) 1639–1645.

    Article  Google Scholar 

  11. R. Capata and G. Hernandez, Preliminary design and simulation of a turbo expander for small rated power organic Rankine cycle (ORC), Energies, 7 (11) (2014) 7067–7093.

    Article  Google Scholar 

  12. Y. P. Xie, Prospect of application and development of Low saturation steam turbine, Energy Conservation Technology (2011).

  13. S. Han, J. B. Seo and B.-S. Choi, Development of a 200 kW ORC radial turbine for waste heat recovery, Journal of Mechanical Science and Technology, 28 (12) (2014) 5231–5241.

    Article  Google Scholar 

  14. S. Quoilin, V. Lemort and J. Lebrun, Experimental study and modeling of an organic Rankine cycle using scroll expander, Applied Energy, 87 (4) (2010) 1260–1268.

    Article  Google Scholar 

  15. J. C. Chang, T. C. Hung, Y. L. He and W. P. Zhang, Experimental study on low-temperature organic Rankine cycle utilizing scroll type expander, Applied Energy, 155 (2015) 150–159.

    Article  Google Scholar 

  16. V. Lemort, S. Quoilin, C. Cuevas and J. Lebrun, Testing and modeling a scroll expander integrated into an Organic Rankine Cycle, Applied Thermal Engineering, 29 (14) (2009) 3094–3102.

    Article  Google Scholar 

  17. V. Lemort, S. Declaye and S. Quoilin, Experimental characterization of a hermetic scroll expander for use in a microscale Rankine cycle, Proceedings of the Institution of Mechanical Engineers Part A Journal of Power and Energy, 226 (1) (2011) 126–136.

    Article  Google Scholar 

  18. H. Wang, R. B. Peterson and T. Herron, Experimental performance of a compliant scroll expander for an organic Rankine cycle, Proceedings of the Institution of Mechanical Engineers Part A Journal of Power and Energy, 223 (7) (2009) 863–872.

    Article  Google Scholar 

  19. H. Leibowitz, I. K. Smith and N. Stosic, Cost effective small scale orc systems for power recovery from low grade heat sources, ASME 2006 International Mechanical Engineering Congress and Exposition, 53 (7) (2006) 521–527.

    Google Scholar 

  20. Y. Q. Zhang, Y. T. Wu, W. He, G. D. Xia, C. F. Ma and Y. H. Peng, Experimental study on the influence of rotational speed on the performance of a single-screw expander with a 175 mm screw diameter, International Journal of Green Energy, 12 (3) (2015) 257–264.

    Article  Google Scholar 

  21. A. Desideri, M. van den Broek, S. Gusev, V. Lemort and S. Quoilin, Experimental campaign and modeling of a lowcapacity waste heat recovery system based on a single screw expander, Proceedings of 22nd International Compressor Engineering Conference, Purdue (2014) 1451.

    Google Scholar 

  22. Y. W. Lu, W. He, Y. T. Wu, C. F. Ma and H. Guo, Performance study on compressed air refrigeration system based on single screw expander, Energy, 55 (2013) 762–768.

    Article  Google Scholar 

  23. W. Wang, Y. T. Wu, C. F. Ma, G. D. Xia and J. F. Wang, Experimental study on the performance of single screw expanders by gap adjustment, Energy, 62 (2013) 379–384.

    Article  Google Scholar 

  24. Y. Q. Zhang, Y. T. Wu, G. D. Xia, C. F. Ma, W. N. Ji, S. W. Liu, K. Yang and F. B. Yang, Development and experimental study on organic Rankine cycle system with singlescrew expander for waste heat recovery from exhaust of diesel engine, Energy, 77 (2014) 499–508.

    Article  Google Scholar 

  25. W. He, Y. T. Wu, Y. H. Peng, Y. Q. Zhang, C. F. Ma and G. Y. Ma, Influence of intake pressure on the performance of single screw expander working with compressed air, Applied Thermal Engineering, 51 (1) (2013) 662–669.

    Article  Google Scholar 

  26. W. Wang, Y. T. Wu, C. F. Ma, L. D. Liu and J. Yu, Preliminary experimental study of single screw expander prototype, Applied Thermal Engineering, 31 (17) (2011) 3684–3688.

    Article  Google Scholar 

  27. G. S. Sun, The investigation of some basic geometric problems of the single screw compressor, International Compressor Engineering Conference (1988) 630.

    Google Scholar 

  28. L. L. Shen, W. Wang and Y. T. WU, Theoretical analysis of variation of leakage path length in single screw expander, Journal of Mechanical Engineering (2015).

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Authors and Affiliations

  1. Key Laboratory of Enhanced Heat Transfer and Energy Conservation of Ministry of Education, College of Environmental and Energy Engineering, Beijing University of Technology, Beijing, 100124, China

    Yuting Wu, Ruiping Zhi, Wei Wang, Lili Shen, Biao Lei, Jingfu Wang & Chongfang Ma

  2. Key Laboratory of Heat Transfer and Energy Conversion of Beijing Municipality, College of Environmental and Energy Engineering, Beijing University of Technology, Beijing, 100124, China

    Yuting Wu, Ruiping Zhi, Wei Wang, Lili Shen, Biao Lei, Jingfu Wang & Chongfang Ma

  3. School of Energy and Power Engineering, Zhengzhou University of Light Industry, No.5 Dongfeng Road, Zhengzhou, Henan Province, 450002, China

    Yeqiang Zhang

Authors
  1. Yuting Wu
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  2. Ruiping Zhi
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  3. Wei Wang
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  4. Lili Shen
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  5. Yeqiang Zhang
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  6. Biao Lei
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  7. Jingfu Wang
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  8. Chongfang Ma
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Correspondence to Ruiping Zhi.

Additional information

Recommended by Associate Editor Tong Seop Kim

Yuting Wu got his doctorate from Beihang University, China, in 2000. From 2000 to 2002, he worked in Tsinghua University as a post doctor. Later he taught at Beijing University of Technology. Now he is a Researcher of the College of Environmental and Energy Engineering. His research interests include organic Rankine cycle technology recovering low-grade heat, solar thermal power, advanced refrigeration technology and molten salt for heat storage.

Ruiping Zhi got her master’s degree from China University of Petroleum, China, in 2012. Now she is a postgraduate student at Beijing University of Technology. Her research interests include key components of single screw compressor and expander and organic Rankine cycle for waste heat recovery.

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Wu, Y., Zhi, R., Wang, W. et al. Mathematical modeling of torque for single screw expanders. J Mech Sci Technol 31, 429–436 (2017). https://doi.org/10.1007/s12206-016-1245-8

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  • DOI: https://doi.org/10.1007/s12206-016-1245-8

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