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Optimal configuration and performance for a generalized Carnot cycle assuming the heat-transfer law Q[is proportional to]([Delta]T)m

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Listed:
  • Chen, Lingen
  • Zhu, Xiaoqin
  • Sun, Fengrui
  • Wu, Chih

Abstract

The finite-time thermodynamic performance of a generalized Carnot cycle, in which the heat transfer between the working fluid and the heat reservoirs obeys a generalized law Q[is proportional to]([Delta]T)m, is studied. The optimal configuration and the fundamental optimal relation between power output and efficiency of the cycle are derived. Some special examples are discussed. The results can provide some theoretical guidance for the design of practical engines.

Suggested Citation

  • Chen, Lingen & Zhu, Xiaoqin & Sun, Fengrui & Wu, Chih, 2004. "Optimal configuration and performance for a generalized Carnot cycle assuming the heat-transfer law Q[is proportional to]([Delta]T)m," Applied Energy, Elsevier, vol. 78(3), pages 305-313, July.
    • Handle: RePEc:eee:appene:v:78:y:2004:i:3:p:305-313
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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.
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    Cited by:

    1. Xia, Shaojun & Chen, Lingen & Sun, Fengrui, 2011. "Power-optimization of non-ideal energy converters under generalized convective heat transfer law via Hamilton-Jacobi-Bellman theory," Energy, Elsevier, vol. 36(1), pages 633-646.
    2. Sieniutycz, Stanislaw, 2009. "Dynamic bounds for power and efficiency of non-ideal energy converters under nonlinear transfer laws," Energy, Elsevier, vol. 34(3), pages 334-340.
    3. Chen, Lingen & Liu, Xiaowei & Wu, Feng & Xia, Shaojun & Feng, Huijun, 2020. "Exergy-based ecological optimization of an irreversible quantum Carnot heat pump with harmonic oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    4. 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).
    5. Lingen Chen & Kang Ma & Huijun Feng & Yanlin Ge, 2020. "Optimal Configuration of a Gas Expansion Process in a Piston-Type Cylinder with Generalized Convective Heat Transfer Law," Energies, MDPI, vol. 13(12), pages 1-20, June.

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