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Ecological optimization for general heat engines

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  • Long, Rui
  • Liu, Wei

Abstract

We conducted an analysis of efficiency and its bounds for general heat engines under the maximum ecological criterion. For generality, both nonisothermal heat-exchanging processes and internal dissipation were taken into consideration. When the product of the internal dissipation and the heat capacity ratio is one, the efficiency under the maximum ecological criterion is the same as that of the irreversible Carnot model. However, the efficiencies have different physical meanings and optimization spaces. Furthermore, the efficiency is independent of the time it takes to complete each process and the heat conductance. For other situations, numerical calculations were conducted to investigate the parameters’ effects on optimal efficiency. When the dimensionless contact times approach zero, the irreversible Carnot model is recovered. The general upper and lower bounds of optimal efficiency are obtained by applying the asymmetric heat capacity ratio limits when the dimensionless contact times approach infinity. In addition, the efficiency of general endoreversible heat engines was investigated. The efficiency bounds of different real-life heat engines under the maximum ecological criterion are proposed.

Suggested Citation

  • Long, Rui & Liu, Wei, 2015. "Ecological optimization for general heat engines," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 232-239.
    • Handle: RePEc:eee:phsmap:v:434:y:2015:i:c:p:232-239
    DOI: 10.1016/j.physa.2015.04.016
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    Citations

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    Cited by:

    1. Long, Rui & Li, Baode & Liu, Zhichun & Liu, Wei, 2016. "Ecological analysis of a thermally regenerative electrochemical cycle," Energy, Elsevier, vol. 107(C), pages 95-102.
    2. Long, Rui & Liu, Wei, 2016. "Ecological optimization and coefficient of performance bounds of general refrigerators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 14-21.
    3. Li, Baode & Long, Rui & Liu, Zhichun & Liu, Wei, 2016. "Performance analysis of a thermally regenerative electrochemical refrigerator," Energy, Elsevier, vol. 112(C), pages 43-51.
    4. Zhang, Lei & Chen, Lingen & Sun, Fengrui, 2016. "Power optimization of chemically driven heat engine based on first and second order reaction kinetic theory and probability theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 221-230.
    5. Zhou, Junle & Chen, Lingen & Ding, Zemin & Sun, Fengrui, 2016. "Analysis and optimization with ecological objective function of irreversible single resonance energy selective electron heat engines," Energy, Elsevier, vol. 111(C), pages 306-312.
    6. Zhang, Yanchao & Xie, Zhenzhen, 2022. "Thermodynamic efficiency and bounds of pumped thermal electricity storage under whole process ecological optimization," Renewable Energy, Elsevier, vol. 188(C), pages 711-720.
    7. Yu, Youhong & Ding, Zemin & Chen, Lingen & Wang, Wenhua & Sun, Fengrui, 2016. "Power and efficiency optimization for an energy selective electron heat engine with double-resonance energy filter," Energy, Elsevier, vol. 107(C), pages 287-294.

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