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Influence of quantum degeneracy on the performance of a Stirling refrigerator working with an ideal Fermi gas

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  • He, Jizhou
  • Chen, Jincan
  • Hua, Ben

Abstract

The influence of quantum degeneracy on the performance of a Stirling refrigeration cycle is investigated, based on the equation of state of an ideal Fermi gas. The inherent regenerative losses and the coefficient of performance (COP) of the cycle are calculated. It is found that, under the condition of strong gas degeneracy, the COP of the cycle in the first approximation is a function only of the temperatures of the heat reservoirs, while under other conditions, the COPs of the cycle depend on the temperatures of the heat reservoirs and other parameters of the cycle. The results obtained here reveal the general performance characteristics of a Stirling refrigeration cycle having a Fermi gas as its working substance.

Suggested Citation

  • He, Jizhou & Chen, Jincan & Hua, Ben, 2002. "Influence of quantum degeneracy on the performance of a Stirling refrigerator working with an ideal Fermi gas," Applied Energy, Elsevier, vol. 72(3-4), pages 541-554, July.
    • Handle: RePEc:eee:appene:v:72:y:2002:i:3-4:p:541-554
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    References listed on IDEAS

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    1. Sisman, Altug & Saygin, Hasan, 2001. "The improvement effect of quantum degeneracy on the work from a Carnot cycle," Applied Energy, Elsevier, vol. 68(4), pages 367-376, April.
    2. SaygIn, Hasan & Sisman, Altug, 2001. "Brayton refrigeration cycles working under quantum degeneracy conditions," Applied Energy, Elsevier, vol. 69(2), pages 77-85, June.
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    Cited by:

    1. Açıkkalp, Emin & Caner, Necmettin, 2015. "Determining of the optimum performance of a nano scale irreversible Dual cycle with quantum gases as working fluid by using different methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 247-258.
    2. He, Jizhou & Xin, Yong & He, Xian, 2007. "Performance optimization of quantum Brayton refrigeration cycle working with spin systems," Applied Energy, Elsevier, vol. 84(2), pages 176-186, February.
    3. Yang, Yulin & Lin, Bihong & Chen, Jincan, 2006. "Influence of regeneration on the performance of a Brayton refrigeration-cycle working with an ideal Bose-gas," Applied Energy, Elsevier, vol. 83(2), pages 99-112, February.
    4. Formosa, Fabien & Fréchette, Luc G., 2013. "Scaling laws for free piston Stirling engine design: Benefits and challenges of miniaturization," Energy, Elsevier, vol. 57(C), pages 796-808.
    5. Dalkıran, Alper & Açıkkalp, Emin & Caner, Necmettin, 2016. "Analysis of a quantum irreversible Otto cycle with exergetic sustainable index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 316-326.
    6. Wu, Feng & Chen, Lingen & Li, Duanyong & Ding, Guozhong & Zhang, Chunping & Kan, Xuxian, 2009. "Thermodynamic performance on a thermo-acoustic micro-cycle under the condition of weak gas degeneracy," Applied Energy, Elsevier, vol. 86(7-8), pages 1119-1123, July.
    7. Yin, Yong & Chen, Lingen & Wu, Feng & Ge, Yanlin, 2020. "Work output and thermal efficiency of an endoreversible entangled quantum Stirling engine with one dimensional isotropic Heisenberg model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    8. Açıkkalp, Emin & Caner, Necmettin, 2015. "Determining performance of an irreversible nano scale dual cycle operating with Maxwell–Boltzmann gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 342-349.
    9. Ahmadi, Mohammad H. & Ahmadi, Mohammad-Ali & Maleki, Akbar & Pourfayaz, Fathollah & Bidi, Mokhtar & Açıkkalp, Emin, 2017. "Exergetic sustainability evaluation and multi-objective optimization of performance of an irreversible nanoscale Stirling refrigeration cycle operating with Maxwell–Boltzmann gas," Renewable and Sustainable Energy Reviews, Elsevier, vol. 78(C), pages 80-92.
    10. Guo, Juncheng & Zhang, Xiuqin & Su, Guozhen & Chen, Jincan, 2012. "The performance analysis of a micro-/nanoscaled quantum heat engine," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6432-6439.

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