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Optimal Configuration of a Gas Expansion Process in a Piston-Type Cylinder with Generalized Convective Heat Transfer Law

Author

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  • Lingen Chen

    (Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, China
    School of Mechanical & Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, China)

  • Kang Ma

    (Unit 92941 of PLA, Huludao 125001, China)

  • Huijun Feng

    (Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, China
    School of Mechanical & Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, China)

  • Yanlin Ge

    (Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, China
    School of Mechanical & Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, China)

Abstract

Optimal configurations for the working fluid expansion process in a piston-type cylinder with maximum work production are studied by applying finite time thermodynamics. The problem is solved by utilizing the modified Lagrangian. The initial and final volumes, initial internal energy and total time are fixed, and the heat transfer between the working fluid and the external heat bath obeys the generalized convective heat transfer law, which can be transformed into Newton’s heat transfer law, the Dulong–Petit heat transfer law and the square convective heat transfer law. The optimal configurations of the expansion process under three different conditions of heat transfer law are provided and compared, respectively. The results show that the heat transfer law has both quantitative and qualitative influences on the optimal configurations of the expansion process.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:12:p:3229-:d:374756
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    References listed on IDEAS

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    4. Chenqi Tang & Lingen Chen & Huijun Feng & Wenhua Wang & Yanlin Ge, 2020. "Power Optimization of a Modified Closed Binary Brayton Cycle with Two Isothermal Heating Processes and Coupled to Variable-Temperature Reservoirs," Energies, MDPI, vol. 13(12), pages 1-21, June.
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    6. Bi, Yuehong & Guo, Tingwei & Zhang, Liang & Chen, Lingen & Sun, Fengrui, 2010. "Entropy generation minimization for charging and discharging processes in a gas-hydrate cool storage system," Applied Energy, Elsevier, vol. 87(4), pages 1149-1157, April.
    7. Marco A. Barranco-Jiménez & Israel Ramos-Gayosso & Marco A. Rosales & Fernando Angulo-Brown, 2009. "A Proposal of Ecologic Taxes Based on Thermo-Economic Performance of Heat Engine Models," Energies, MDPI, vol. 2(4), pages 1-15, November.
    8. Chen, Lingen & Yang, Bo & Feng, Huijun & Ge, Yanlin & Xia, Shaojun, 2020. "Performance optimization of an open simple-cycle gas turbine combined cooling, heating and power plant driven by basic oxygen furnace gas in China's steelmaking plants," Energy, Elsevier, vol. 203(C).
    9. 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.
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    1. Chenqi Tang & Lingen Chen & Huijun Feng & Wenhua Wang & Yanlin Ge, 2020. "Power Optimization of a Modified Closed Binary Brayton Cycle with Two Isothermal Heating Processes and Coupled to Variable-Temperature Reservoirs," Energies, MDPI, vol. 13(12), pages 1-21, June.
    2. Shuangshuang Shi & Yanlin Ge & Lingen Chen & Huijun Feng, 2021. "Performance Optimizations with Single-, Bi-, Tri-, and Quadru-Objective for Irreversible Atkinson Cycle with Nonlinear Variation of Working Fluid’s Specific Heat," Energies, MDPI, vol. 14(14), pages 1-23, July.
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    4. Pengchao Zang & Lingen Chen & Yanlin Ge, 2022. "Maximizing Efficient Power for an Irreversible Porous Medium Cycle with Nonlinear Variation of Working Fluid’s Specific Heat," Energies, MDPI, vol. 15(19), pages 1-12, September.

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