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The performance analysis of a micro-/nanoscaled quantum heat engine

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  • Guo, Juncheng
  • Zhang, Xiuqin
  • Su, Guozhen
  • Chen, Jincan

Abstract

A new model of micro-/nanoscaled heat engines consisting of two thin long tubes with the same length but different sizes of cross section, which are filled up with ideal quantum gases and operated between two heat reservoirs, is put forward. The working fluid of the heat engine cycle goes through four processes, which include two isothermal processes and two isobaric processes with constant longitudinal pressure. General expressions for the power output and efficiency of the cycle are derived, based on the thermodynamic properties of confined ideal quantum gases. The influence of the size effect on the power output and efficiency is discussed. The differences between the heat engines working with the ideal Bose gas and Fermi gas are revealed. The performance of the heat engines operating at weak gas degeneracy and high temperatures is further analyzed. The results obtained are more general and significant than those in the current literature.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:391:y:2012:i:24:p:6432-6439
    DOI: 10.1016/j.physa.2012.07.059
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    References listed on IDEAS

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    1. Nie, Wenjie & Liao, Qinghong & Zhang, ChunQiang & He, Jizhou, 2010. "Micro-/nanoscaled irreversible Otto engine cycle with friction loss and boundary effects and its performance characteristics," Energy, Elsevier, vol. 35(12), pages 4658-4662.
    2. Meng, Fankai & Chen, Lingen & Sun, Fengrui, 2011. "A numerical model and comparative investigation of a thermoelectric generator with multi-irreversibilities," Energy, Elsevier, vol. 36(5), pages 3513-3522.
    3. 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.
    4. Lin, Bihong & Zhang, Yue & Chen, Jincan, 2006. "Influence of quantum degeneracy and regeneration on the performance of Bose-Stirling refrigeration-cycles operated in different temperature regions," Applied Energy, Elsevier, vol. 83(5), pages 513-535, May.
    5. Nie, Wenjie & He, Jizhou & Du, Jianqiang, 2009. "Performance characteristic of a Stirling refrigeration cycle in micro/nano scale," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 318-324.
    6. 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.
    7. Akram I. Boukai & Yuri Bunimovich & Jamil Tahir-Kheli & Jen-Kan Yu & William A. Goddard III & James R. Heath, 2008. "Silicon nanowires as efficient thermoelectric materials," Nature, Nature, vol. 451(7175), pages 168-171, January.
    8. Firat, C. & Sisman, A. & Ozturk, Z.F., 2010. "Thermodynamics of gases in nano cavities," Energy, Elsevier, vol. 35(2), pages 814-819.
    9. SaygIn, Hasan & Sisman, Altug, 2001. "Brayton refrigeration cycles working under quantum degeneracy conditions," Applied Energy, Elsevier, vol. 69(2), pages 77-85, June.
    10. Chen, Lingen & Ding, Zemin & Sun, Fengrui, 2011. "Model of a total momentum filtered energy selective electron heat pump affected by heat leakage and its performance characteristics," Energy, Elsevier, vol. 36(7), pages 4011-4018.
    11. Yilbas, B.S. & Sahin, A.Z., 2010. "Thermoelectric device and optimum external load parameter and slenderness ratio," Energy, Elsevier, vol. 35(12), pages 5380-5384.
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    Cited by:

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    2. Ahmadi, Mohammad H. & Amin Nabakhteh, Mohammad & Ahmadi, Mohammad-Ali & Pourfayaz, Fathollah & Bidi, Mokhtar, 2017. "Investigation and optimization of performance of nano-scale Stirling refrigerator using working fluid as Maxwell–Boltzmann gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 337-350.
    3. Nie, Wenjie & Lü, Ke & Chen, Aixi & He, Jizhou & Lan, Yueheng, 2018. "Performance optimization of single and two-stage micro/nano-scaled heat pumps with internal and external irreversibilities," Applied Energy, Elsevier, vol. 232(C), pages 695-703.
    4. 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.
    5. 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.

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