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The Gouy-Stodola Theorem and the derivation of exergy revised

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  • Reini, Mauro
  • Casisi, Melchiorre

Abstract

The Gouy-Stodola Theorem is the theoretical basis for allocating irreversibility and for identifying the maximum possible efficiency for any kind of energy conversion system. The well-known theorem is re-obtained in this paper, relaxing the hypothesis about a constant value for temperature and pressure of the reference environment. The equations that have been derived taking into account the variation of reference temperature and pressure show that two additional terms appear in both reversible and irreversible maximum useful work output, besides the well-known terms. These additional terms take into account the potential useful work (exergy) destruction related to the variation of the ambient condition during the considered time interval. In this way the Gouy-Stodola Theorem still holds, but the allocation of exergy destruction is generally different from that calculated in the usual hypothesis of constant temperature and pressure of the reference environment. The Gouy-Stodola Theorem is also used in various textbooks for defining the flow and the non-exergy of a control volume. The same approach is applied in this paper, highlighting the differences and the difficulties related to the variation of the reference pressure and temperature in the reference environment.

Suggested Citation

  • Reini, Mauro & Casisi, Melchiorre, 2020. "The Gouy-Stodola Theorem and the derivation of exergy revised," Energy, Elsevier, vol. 210(C).
    • Handle: RePEc:eee:energy:v:210:y:2020:i:c:s0360544220315942
    DOI: 10.1016/j.energy.2020.118486
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    References listed on IDEAS

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    1. Tsatsaronis, George, 2007. "Definitions and nomenclature in exergy analysis and exergoeconomics," Energy, Elsevier, vol. 32(4), pages 249-253.
    2. Valentina Bonetti & Georgios Kokogiannakis, 2017. "Dynamic Exergy Analysis for the Thermal Storage Optimization of the Building Envelope," Energies, MDPI, vol. 10(1), pages 1-19, January.
    3. Göǧüş, Yalçın A. & Çamdalı, Ünal & Kavsaoğlu, Mehmet Ş., 2002. "Exergy balance of a general system with variation of environmental conditions and some applications," Energy, Elsevier, vol. 27(7), pages 625-646.
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    Citations

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    Cited by:

    1. Ronelly De Souza & Melchiorre Casisi & Diego Micheli & Mauro Reini, 2021. "A Review of Small–Medium Combined Heat and Power (CHP) Technologies and Their Role within the 100% Renewable Energy Systems Scenario," Energies, MDPI, vol. 14(17), pages 1-30, August.
    2. Eduardo Rodríguez & José M. Cardemil & Allan R. Starke & Rodrigo Escobar, 2022. "Modelling the Exergy of Solar Radiation: A Review," Energies, MDPI, vol. 15(4), pages 1-26, February.
    3. Sobhy Khedr & Melchiorre Casisi & Mauro Reini, 2022. "The Thermoeconomic Environment Cost Indicator (i ex-TEE ) as a One-Dimensional Measure of Resource Sustainability," Energies, MDPI, vol. 15(6), pages 1-14, March.
    4. Casisi, Melchiorre & Khedr, Sobhy & Reini, Mauro, 2023. "The Thermoeconomic Environment and the exergy-based cost accounting of technological and biological systems," Energy, Elsevier, vol. 262(PA).
    5. Mardan Dezfouli, Amir Hossein & Niroozadeh, Narjes & Jahangiri, Ali, 2023. "Energy, exergy, and exergoeconomic analysis and multi-objective optimization of a novel geothermal driven power generation system of combined transcritical CO2 and C5H12 ORCs coupled with LNG stream i," Energy, Elsevier, vol. 262(PB).

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