中国物理B ›› 2006, Vol. 15 ›› Issue (9): 1953-1959.doi: 10.1088/1009-1963/15/9/009

• GENERAL • 上一篇    下一篇

Influence of quantum degeneracy on the performance of a gas Stirling engine cycle

何济洲, 毛之远, 王建辉   

  1. Department of Physics, Nanchang University, Nanchang 330047, China
  • 收稿日期:2006-02-03 修回日期:2006-03-21 出版日期:2006-09-20 发布日期:2006-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10465003), the Natural Science Foundation of Jiangxi Province, China (Grant No 0412011) and Science Foundation of Jiangxi Education Bureau, China.

Influence of quantum degeneracy on the performance of a gas Stirling engine cycle

He Ji-Zhou(何济洲)†, Mao Zhi-Yuan(毛之远), and Wang Jian-Hui(王建辉)   

  1. Department of Physics, Nanchang University, Nanchang 330047, China
  • Received:2006-02-03 Revised:2006-03-21 Online:2006-09-20 Published:2006-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10465003), the Natural Science Foundation of Jiangxi Province, China (Grant No 0412011) and Science Foundation of Jiangxi Education Bureau, China.

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摘要： Based on the state equation of an ideal quantum gas, the regenerative loss of a Stirling engine cycle working with an ideal quantum gas is calculated. Thermal efficiency of the cycle is derived. Furthermore, under the condition of quantum degeneracy, several special thermal efficiencies are discussed. Ratios of thermal efficiencies versus the temperature ratio and volume ratio of the cycle are made. It is found that the thermal efficiency of the cycle not only depends on high and low temperatures but also on maximum and minimum volumes. In a classical gas state the thermal efficiency of the cycle is equal to that of the Carnot cycle. In an ideal quantum gas state the thermal efficiency of the cycle is smaller than that of the Carnot cycle. This will be significant for deeper understanding of the gas Stirling engine cycle.

Abstract: Based on the state equation of an ideal quantum gas, the regenerative loss of a Stirling engine cycle working with an ideal quantum gas is calculated. Thermal efficiency of the cycle is derived. Furthermore, under the condition of quantum degeneracy, several special thermal efficiencies are discussed. Ratios of thermal efficiencies versus the temperature ratio and volume ratio of the cycle are made. It is found that the thermal efficiency of the cycle not only depends on high and low temperatures but also on maximum and minimum volumes. In a classical gas state the thermal efficiency of the cycle is equal to that of the Carnot cycle. In an ideal quantum gas state the thermal efficiency of the cycle is smaller than that of the Carnot cycle. This will be significant for deeper understanding of the gas Stirling engine cycle.

Key words: Stirling engine cycle, ideal quantum gas, regenerative characteristics, thermal efficiency

中图分类号:  (Quantum communication)

  • 03.67.Hk
03.65.-w (Quantum mechanics) 03.67.Lx (Quantum computation architectures and implementations)