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Pitfalls of Exergy Analysis

  • Petr Vágner EMAIL logo , Michal Pavelka and František Maršík
Published/Copyright: January 10, 2017

Abstract

The well-known Gouy–Stodola theorem states that a device produces maximum useful power when working reversibly, that is with no entropy production inside the device. This statement then leads to a method of thermodynamic optimization based on entropy production minimization. Exergy destruction (difference between exergy of fuel and exhausts) is also given by entropy production inside the device. Therefore, assessing efficiency of a device by exergy analysis is also based on the Gouy–Stodola theorem. However, assumptions that had led to the Gouy–Stodola theorem are not satisfied in several optimization scenarios, e.g. non-isothermal steady-state fuel cells, where both entropy production minimization and exergy analysis should be used with caution. We demonstrate, using non-equilibrium thermodynamics, a few cases where entropy production minimization and exergy analysis should not be applied.

Funding statement: The result was developed within the CENTEM project, reg. no. CZ.1.05/2.1.00/03.0088, cofunded by the ERDF as part of the Ministry of Education, Youth and Sports OP RDI programme and, in the follow-up sustainability stage, supported through CENTEM PLUS (LO1402) by financial means from the Ministry of Education, Youth and Sports under the National Sustainability Programme I. The work was supported by Czech Science Foundation (project no. 14-18938S). The study was supported by the Charles University, project GA UK No 70515.

Acknowledgements

We are grateful to Miroslav Grmela, who supported this research. We are also grateful to Václav Klika for encouraging us and discussing the results.

References

[1] G. Gouy. Sur l’énergie utilizable, J. Phys. 8 (1889), 501–518.10.1051/jphystap:018890080050101Search in Google Scholar

[2] A. Stodola. Die Kreisprozesse der Gasmaschine, Zeitschrift d. Ver. d. Ingenieure, 1898.Search in Google Scholar

[3] A. Bejan. Entropy generation minimization: The new thermodynamics of finite size devices and finite time processes, J. Appl. Phys. 79 (1996), no. 3, 1191–1218.10.1063/1.362674Search in Google Scholar

[4] A. Sciacovelli. Thermodynamic optimization of a monolithic-type solid oxide fuel cell, Int. J. Thermodyn. 13 (2010), no. 3, 95–103.Search in Google Scholar

[5] J. Meixner and H. G. Reik. Thermodynamik der Irreversible Prozesse, in Handbuch der Physik, Volume 3/II. Springer, Berlin Heidelberg New York, 1959.10.1007/978-3-642-45912-2_4Search in Google Scholar

[6] S. R. de Groot and P. Mazur. Non-equilibrium Thermodynamics. Dover Publications, New York, 1984.Search in Google Scholar

[7] S. Kjelstrup and D. Bedeaux. Non-equilibrium Thermodynamics of Heterogeneous Systems. Series on Advances in Statistical Mechanics. World Scientific Publishing Co, Pte, Ltd. 5 Toh Tuck Link, Singapore, 2008.10.1142/6672Search in Google Scholar

[8] S. Kjelstrup, D. Bedeaux and E. Johannessen. Non-equilibrium Thermodynamics for Engineers. Science and culture series (Singapore): Physics. World Scientific, 2010.10.1142/7869Search in Google Scholar

[9] K. H. Hoffmann, J. M. Burzler and S. Schubert. Endoreversible thermodynamics, J. Non-Equilib. Thermodyn. 22 (1997), no. 4, 311–355.Search in Google Scholar

[10] S. Sieniutycz and M. R. von Spakovsky. Finite time generalization of thermal exergy, Energy Convers. Manage. 39 (1998), no. 14, 1423 – 1447.10.1016/S0196-8904(98)00023-5Search in Google Scholar

[11] K. H. Hoffmann, J. Burzler, A. Fischer, M. Schaller and S. Schubert. Optimal process paths for endoreversible systems, J. Non-Equilib. Thermodyn. 28 (2003), no. 3, 233–268.10.1515/JNETDY.2003.015Search in Google Scholar

[12] F. L. Curzon and B. Ahlborn. Efficiency of a Carnot engine at maximum power output, Am. J. Phys. 43 (1975), 22–24.10.1119/1.10023Search in Google Scholar

[13] I. I. Novikov. The efficiency of atomic power stations, J. Nucl. Energy II 7 (1985), 125. [Atomnaya Energiya 3, 409 (1957)].Search in Google Scholar

[14] P. Salamon, K. H. Hoffmann, S. Schubert, R. S. Berry and B. Andresen. What conditions make minimum entropy production equivalent to maximum power production? J. Non-Equilib. Thermodyn 26 (2001), 73–83.10.1515/JNETDY.2001.006Search in Google Scholar

[15] M. Pavelka and F. Maší. Detailed thermodynamic analysis of polymer electrolyte membrane fuel cell efficiency, Int. J. Hydrogen Energy 38 (2013), no. 17, 7102–7113.10.1016/j.ijhydene.2013.03.149Search in Google Scholar

[16] M. Pavelka, V. Klika, P. Vágner and F. Maršík. Generalization of exergy analysis. Appl. Energy 137 (2015), 158–172.10.1016/j.apenergy.2014.09.071Search in Google Scholar

[17] M.H. Arshad, Ramazan Kahraman, A. Z. Sahin and R. Ben-Mansour. Second lawanalysis of compressible flow through a diffuser subjected to constant heat flux at wall, Energy Convers. Manage. 51 (2010), 2808–2815.10.1016/j.enconman.2010.06.018Search in Google Scholar

[18] F. A. Al-Sulaiman, G. Prakash Narayan and J. H. Lienhard V. Exergy analysis of a high-temperature-steam-driven, varied-pressure, humidification-dehumidification system coupled with reverse osmosis, Appl. Energy 103 (2013), 552–561.10.1016/j.apenergy.2012.10.020Search in Google Scholar

[19] F. Gutiérrez and F. Méndez. Entropy generation minimization for the thermal decomposition of methane gas in hydrogen using genetic algorithms, Energy Convers. Manage. 55 (2012), 1–13.10.1016/j.enconman.2011.10.021Search in Google Scholar

[20] M. Ishida, D. Zheng, and T. Akehata. Evaluation of a chemical-looping-combustion power-generation system by graphic exergy analysis, Energy 12 (Feb 1987), no. 2, 147–154.10.1016/0360-5442(87)90119-8Search in Google Scholar

[21] A. Sciacovelli and V. Verda. Second-law design of a latent heat thermal energy storage with branched fins, Int. J. Numer. Methods Heat Fluid Flow 26 (2016), no. 2, 489–503.10.1108/HFF-01-2015-0040Search in Google Scholar

[22] L. D. Landau and E.M. Lifshitz. Course of theoretical physics-Pergamon International Library of Science, Technology, Engineering and Social Studies. Statistical physics. Pt. 1. Oxford: Pergamon Press, and Reading: Addison-Wesley, c1969, 2nd rev.-enlarg. ed. 1 (1969).Search in Google Scholar

[23] M. Pavelka, F. Maršík and V. Klika. Consistent theory of mixtures on different levels of description, Int. J. Eng. Sci. 78 (2014), 192–217.10.1016/j.ijengsci.2014.02.003Search in Google Scholar

[24] M. Pavelka, F. Wandschneider and P. Mazur. Thermodynamic derivation of open circuit voltage in vanadium redox flow batteries. J. Power Sources 293 (2015), 400–408.10.1016/j.jpowsour.2015.05.049Search in Google Scholar

Received: 2016-5-12
Revised: 2016-9-13
Accepted: 2016-11-4
Published Online: 2017-1-10
Published in Print: 2017-4-1

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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