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Maximizing power of irreversible multistage chemical engine with linear mass transfer law using HJB theory

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  • Chen, Lingen
  • Xia, Shaojun

Abstract

Chemical engine is an abstract model for many devices and processes. Its thermodynamic performance analysis and optimization is meaningful. A model of irreversible multistage isothermal chemical engine (MICE) system with linear mass transfer law [g∝Δμ] and the irreversibilities of internal dissipation effect of working fluid and finite rate mass transfer is built, and its performances is investigated and optimized. For fixed initial key component concentration and fixed initial time, the maximum power output (MPO) of the irreversible MICE is obtained by applying Hamilton-Jacobi-Bellman optimization theory analytically. Numerical examples are provided. The results indicate that difference between chemical potential of key component concentration (KCC) and Carnot chemical potential (See Eq. (12) in this paper for its definition) for MPO is constant, KCC at high-chemical-potential side decreases with increase of time nonlinearly, and irreversibility factor affects MPO of irreversible MICE and the corresponding optimal KCC configuration qualitatively.

Suggested Citation

  • Chen, Lingen & Xia, Shaojun, 2022. "Maximizing power of irreversible multistage chemical engine with linear mass transfer law using HJB theory," Energy, Elsevier, vol. 261(PB).
    • Handle: RePEc:eee:energy:v:261:y:2022:i:pb:s0360544222021624
    DOI: 10.1016/j.energy.2022.125277
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    References listed on IDEAS

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    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. Lin, Guoxing & Chen, Jincan & Brück, Ekkes, 2004. "Irreversible chemical-engines and their optimal performance analysis," Applied Energy, Elsevier, vol. 78(2), pages 123-136, June.
    3. Wu, Heng & Ge, Yanlin & Chen, Lingen & Feng, Huijun, 2021. "Power, efficiency, ecological function and ecological coefficient of performance optimizations of irreversible Diesel cycle based on finite piston speed," Energy, Elsevier, vol. 216(C).
    4. 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.
    5. 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).
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    Citations

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    Cited by:

    1. Chen, Lingen & Shi, Shuangshuang & Ge, Yanlin & Feng, Huijun, 2023. "Ecological function performance analysis and multi-objective optimization for an endoreversible four-reservoir chemical pump," Energy, Elsevier, vol. 282(C).
    2. Shi, Shuangshuang & Chen, Lingen & Ge, Yanlin & Feng, Huijun, 2024. "Performance optimization of non-isothermal endoreversible chemical pump via Lewis analogy," Energy, Elsevier, vol. 300(C).
    3. Chen, Lingen & Shi, Shuangshuang & Ge, Yanlin & Feng, Huijun, 2023. "Performance optimization of diffusive mass transfer law irreversible isothermal chemical pump," Energy, Elsevier, vol. 263(PC).
    4. Jin, Qinglong & Xia, Shaojun & Chen, Lingen, 2023. "A modified recompression S–CO2 Brayton cycle and its thermodynamic optimization," Energy, Elsevier, vol. 263(PE).
    5. Huang, Jialuo & Xia, Shaojun & Chen, Lingen, 2024. "Optimal configurations of ammonia decomposition reactor with minimum power consumption and minimum heat transfer rate," Energy, Elsevier, vol. 293(C).
    6. Yang, Wenhao & Feng, Huijun & Chen, Lingen & Ge, Yanlin, 2023. "Power and efficiency optimizations of a simple irreversible supercritical organic Rankine cycle," Energy, Elsevier, vol. 278(C).
    7. Chen, Lingen & Shi, Shuangshuang & Ge, Yanlin & Feng, Huijun, 2023. "Power density performances and multi-objective optimizations for an irreversible Otto cycle with five specific heat models of working fluid," Energy, Elsevier, vol. 282(C).
    8. Qi, Congzheng & Chen, Lingen & Ge, Yanlin & Feng, Huijun, 2023. "Three-heat-reservoir thermal Brownian heat transformer and its performance limits," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
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    10. Chen, Lingen & Lorenzini, Giulio, 2023. "Heating load, COP and exergetic efficiency optimizations for TEG-TEH combined thermoelectric device with Thomson effect and external heat transfer," Energy, Elsevier, vol. 270(C).
    11. Ge, Yanlin & Wu, Heng & Chen, Lingen & Feng, Huijun & Xie, Zhihui, 2023. "Finite time and finite speed thermodynamic optimization for an irreversible Atkinson cycle," Energy, Elsevier, vol. 270(C).

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