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Parametric optimum analysis of an irreversible Ericsson cryogenic refrigeration cycle working with an ideal Fermi gas

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Abstract

An irreversible model of an Ericsson cryogenic refrigeration cycle working with an ideal Fermi gas is established, which is composed of two isothermal and two isobaric processes. The influence of both the quantum degeneracy and the finite-rate heat transfer between the working fluid and the heat reservoirs on the performance of the cycle is investigated, based on the theory of statistical mechanics and thermodynamic properties of an ideal Fermi gas. The inherent regeneration losses of the cycle are analyzed. Expressions for several important performance parameters such as the coefficient of performance, cooling rate and power input are derived. By using numerical solutions, the cooling rate of the cycle is optimized for a given power input. The maximum cooling rate and the corresponding parameters are calculated numerically. The optimal regions of the coefficient of performance and power input are determined. Especially, the optimal performance of the cycle in the strong and weak gas degeneracy cases and the high temperature limit is discussed in detail. The analytic expressions of some optimized parameters are derived. Some optimum criteria are given. The distinctions and connections between the Ericsson refrigeration cycles working with the Fermi and classical gases are revealed.

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References

  1. Y Zhang, B Lin and J Chen, Phys. Scr. 73, 28 (2006)

    ADS  Google Scholar 

  2. J He, W Ouyang and X Wu, Chin. Phys. 15, 53 (2006)

    Article  ADS  Google Scholar 

  3. B Lin and J Chen, Chin. Phys. 14, 293 (2005)

    Article  ADS  Google Scholar 

  4. T E Humphrey and H Linke, Phys. Rev. Lett. 94, 096601 (2005)

    Google Scholar 

  5. J He, Z Mao and J Wang, Chin. Phys. 15, 1953 (2006)

    Article  ADS  Google Scholar 

  6. B Lin and J Chen, J. Phys. A38, 69 (2005)

    MathSciNet  ADS  Google Scholar 

  7. T E Humphrey and H Linke, Physica E29, 390 (2005)

    ADS  Google Scholar 

  8. N Sanchez-Salas and A C Hernandez, Phys. Rev. E70, 046110 (2004)

    Google Scholar 

  9. T D Kieu, Phys. Rev. Lett. 93, 140403 (2004)

    Google Scholar 

  10. B Lin and J Chen, Phys. Rev. E68, 056117 (2003)

  11. P W Milonni, Phys. World 16, 22 (2003)

    ADS  Google Scholar 

  12. B Lin and J Chen, Phys. Rev. E67, 046105 (2003)

  13. J He, J Chen and B Hua, Phys. Rev. E65, 036145 (2002)

  14. E Geva, J. Mod. Opt. 49, 635 (2002)

    Article  ADS  Google Scholar 

  15. H Saygin and A Sisman, J. Appl. Phys. 90, 3086 (2001)

    Article  ADS  Google Scholar 

  16. J P Palao, R Kosloff and J M Gordon, Phys. Rev. E64, 056130 (2001)

    Google Scholar 

  17. T Feldmann and R Kosloff, Phys. Rev. E61, 4774 (2000)

    ADS  Google Scholar 

  18. A Sisman and H Saygin, Phys. Scr. 63, 263 (2001)

    Article  ADS  Google Scholar 

  19. A Sisman and H Saygin, J. Phys. D32, 664 (1999)

    ADS  Google Scholar 

  20. P K Pathria, Statistical mechanics 2nd edition (Elsevier Pvt Ltd, Singapore, 1996)

    MATH  Google Scholar 

  21. K Huang, Statistical mechanics 2nd edition (Wiley, New York, 1987)

    MATH  Google Scholar 

  22. L D Landau and E M Lifshitz, Statistical physics (Pergamon, London, 1958)

    MATH  Google Scholar 

  23. J He, J Chen and B Hua, Appl. Energy 72, 541 (2002)

    Article  Google Scholar 

  24. B Lin, Y Zhang and J Chen, Appl. Energy 83, 513 (2006)

    Article  Google Scholar 

  25. J Chen and Z Yan, Phys. Rev. A39, 4140 (1989)

    MathSciNet  ADS  Google Scholar 

  26. J Chen and Z Yan, J. Appl. Phys. 84, 1791 (1998)

    Article  ADS  Google Scholar 

  27. J Chen, J He and B Hua, J. Phys. A35, 7995 (2002)

    MathSciNet  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen, 361005, People’s Republic of China

    Bihong Lin, Yingru Zhao & Jincan Chen

  2. Department of Physics, Quanzhou Normal University, Quanzhou, 362000, People’s Republic of China

    Bihong Lin

Authors
  1. Bihong Lin
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  2. Yingru Zhao
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  3. Jincan Chen
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Correspondence to Bihong Lin.

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Lin, B., Zhao, Y. & Chen, J. Parametric optimum analysis of an irreversible Ericsson cryogenic refrigeration cycle working with an ideal Fermi gas. Pramana - J Phys 70, 779–795 (2008). https://doi.org/10.1007/s12043-008-0089-x

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  • DOI: https://doi.org/10.1007/s12043-008-0089-x

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