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Optimal configuration of a two-heat-reservoir heat-engine with heat-leak and finite thermal-capacity

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  • Chen, Lingen
  • Sun, Fengrui
  • Wu, Chih

Abstract

Based on a model of a two-heat-reservoir heat-engine cycle with a finite high-temperature source and bypass heat-leak, in which the maximum work output can be obtained under a given cycle time is determined with the considerations of heat-leak, finite heat-capacity high-temperature source and infinite heat-capacity low-temperature heat-sink with another linear heat-transfer law QÂ [is proportional to]Â [Delta](T-1). The heat-engine cycles considered are: (1) infinite low-and high-temperature reservoirs without heat-leak; (2) infinite low- and high-temperature reservoirs with heat-leak; (3) finite high-temperature source and infinite low-temperature sink without heat-leak and (4) finite high-temperature source and infinite low-temperature sink with heat-leak. It is assumed that the heat-transfer between the working fluid and the reservoirs obeys another linear heat-transfer law, i.e., the linear phenomenological heat-transfer law, QÂ [is proportional to]Â [Delta](T-1). It is shown that the existence of heat-leak does not affect the configuration of a cycle with an infinite high-temperature source. The finite heat-capacity of the high-temperature source without heat-leak makes the cycle a generalized Carnot heat-engine cycle. There exists a great difference of the cycle configurations for the finite high-temperature source with heat-leak and the former three cases. Moreover, the relations between the optimal power-output and the efficiency of the former three configurations are derived, and they show that the heat-leak affects the power versus efficiency characteristics of the heat-engine cycles.

Suggested Citation

  • Chen, Lingen & Sun, Fengrui & Wu, Chih, 2006. "Optimal configuration of a two-heat-reservoir heat-engine with heat-leak and finite thermal-capacity," Applied Energy, Elsevier, vol. 83(2), pages 71-81, February.
    • Handle: RePEc:eee:appene:v:83:y:2006:i:2:p:71-81
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    References listed on IDEAS

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    1. Grazzini, Giuseppe, 1991. "Work from irreversible heat engines," Energy, Elsevier, vol. 16(4), pages 747-755.
    2. Salamon, P. & Nulton, J.D. & Siragusa, G. & Andersen, T.R. & Limon, A., 2001. "Principles of control thermodynamics," Energy, Elsevier, vol. 26(3), pages 307-319.
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    1. Song, Hanjiang & Chen, Lingen & Sun, Fengrui, 2007. "Endoreversible heat-engines for maximum power-output with fixed duration and radiative heat-transfer law," Applied Energy, Elsevier, vol. 84(4), pages 374-388, April.
    2. 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.
    3. Chen, Lingen & Xia, Shaojun, 2023. "Maximum work configuration for irreversible finite-heat-capacity source engines by applying averaged-optimal-control theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).
    4. Takeshi Yasunaga & Kevin Fontaine & Yasuyuki Ikegami, 2021. "Performance Evaluation Concept for Ocean Thermal Energy Conversion toward Standardization and Intelligent Design," Energies, MDPI, vol. 14(8), pages 1-12, April.

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