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The role of the Stefan–Boltzmann law in the thermodynamic optimization of an n-Müser engine

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  • Ramírez-Moreno, M.A.
  • González-Hernández, S.
  • Angulo-Brown, F.

Abstract

A Müser-type engine model can be taken as a particular case of a Curzon–Ahlborn thermal cycle, when the upper thermal conductance is finite and the lower one is infinite. In addition, the upper heat exchange is given by the Stefan–Boltzmann law. That model is suitable to thermodynamically describe some aspects of energy converters as solar cells and photosynthetic systems. In the present article, we call n-Müser engine to an engine of the Müser type in which the T4 heat transfer law is substituted by a Tn-law, being n>0 a real number. Here, we show that if we use the so-called ecological criterion of merit to optimize finite-time heat engines to compare the thermodynamic performance of the n-Müser engines under approximate terrestrial conditions (see below), we obtain that n=4 accomplishes the best performance. This same result was obtained by using data from the rest of planets of the solar system.

Suggested Citation

  • Ramírez-Moreno, M.A. & González-Hernández, S. & Angulo-Brown, F., 2016. "The role of the Stefan–Boltzmann law in the thermodynamic optimization of an n-Müser engine," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 914-921.
    • Handle: RePEc:eee:phsmap:v:444:y:2016:i:c:p:914-921
    DOI: 10.1016/j.physa.2015.10.094
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    References listed on IDEAS

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    1. Reyes-Ramírez, Israel & Barranco-Jiménez, Marco A. & Rojas-Pacheco, A. & Guzmán-Vargas, Lev, 2014. "Global stability analysis of a Curzon–Ahlborn heat engine using the Lyapunov method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 399(C), pages 98-105.
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    Cited by:

    1. Ares de Parga-Regalado, A.M. & Ramírez-Moreno, M.A., 2022. "On the analysis of an ecological regime for energy converters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    2. Ramírez-Moreno, M.A. & Angulo-Brown, F., 2017. "Ecological optimization of a family of n-Müser engines for an arbitrary value of the solar concentration factor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 250-255.
    3. Strušnik, Dušan & Brandl, Daniel & Schober, Helmut & Ferčec, Janko & Avsec, Jurij, 2020. "A simulation model of the application of the solar STAF panel heat transfer and noise reduction with and without a transparent plate: A renewable energy review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 134(C).
    4. Gonzalez-Hernandez, S. & Ramirez-Moreno, M.A. & Ares de Parga, G., 2023. "Unification criteria of optimization and energetic analysis of a thermoelectric-generator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    5. Ares de Parga-Regalado, A.M. & Ramírez-Moreno, M.A. & Angulo-Brown, F., 2023. "A comparative thermodynamic and thermoeconomic analysis between two ecological regimes for the Novikov energy converter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    6. Ares de Parga-Regalado, A.M. & Valencia-Ortega, G. & Barranco-Jiménez, M.A., 2023. "Thermo-economic optimization of irreversible Novikov power plant models including a proposal of dissipation cost," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 613(C).

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