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Article

A Systematic Approach to Exergy Efficiency of Steady-Flow Systems

by
Yunus A. Çengel
1,* and
Mehmet Kanoğlu
2
1
Department of Mechanical Engineering, University of Nevada, Reno, NV 89557, USA
2
Department of Mechanical Engineering, Alanya Alaaddin Keykubat University, Antalya 07425, Türkiye
*
Author to whom correspondence should be addressed.
Entropy 2025, 27(11), 1108; https://doi.org/10.3390/e27111108 (registering DOI)
Submission received: 14 September 2025 / Revised: 6 October 2025 / Accepted: 20 October 2025 / Published: 26 October 2025
(This article belongs to the Section Thermodynamics)

Abstract

Exergy efficiency is a measure of thermodynamic perfection. A device that operates reversibly has an exergy efficiency of 100 percent and is said to be thermodynamically perfect. A reversible process involves zero entropy generation and thus zero exergy destruction since Xdestroyed = T0Sgen. Exergy efficiency is generally defined as the ratio of exergy output to exergy input ηex = Xoutput/Xinput = 1 − (Xdestroyed+Xloss)/Xinput or the ratio of exergy recovered to exergy expended ηex = Xrecovered/Xexpended = 1 − Xdestroyed/Xexpended. In this paper, exergy efficiency relations are obtained first for a general steady-flow system using both approaches. Then, explicit general relations are obtained for common steady-flow devices, such as turbines, compressors, pumps, nozzles, diffusers, valves and heat exchangers, as well as heat engines, refrigerators, and heat pumps. For power and refrigeration cycles, five different forms of exergy efficiency relations are developed, and their equivalence is demonstrated. With the unified approach presented here and the insights provided, the controversy and confusion associated with different exergy efficiency definitions are largely alleviated.
Keywords: thermodynamics; exergy; exergy efficiency; second-law efficiency; exergy analysis; steady-flow devices; heat engines; refrigerators thermodynamics; exergy; exergy efficiency; second-law efficiency; exergy analysis; steady-flow devices; heat engines; refrigerators

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MDPI and ACS Style

Çengel, Y.A.; Kanoğlu, M. A Systematic Approach to Exergy Efficiency of Steady-Flow Systems. Entropy 2025, 27, 1108. https://doi.org/10.3390/e27111108

AMA Style

Çengel YA, Kanoğlu M. A Systematic Approach to Exergy Efficiency of Steady-Flow Systems. Entropy. 2025; 27(11):1108. https://doi.org/10.3390/e27111108

Chicago/Turabian Style

Çengel, Yunus A., and Mehmet Kanoğlu. 2025. "A Systematic Approach to Exergy Efficiency of Steady-Flow Systems" Entropy 27, no. 11: 1108. https://doi.org/10.3390/e27111108

APA Style

Çengel, Y. A., & Kanoğlu, M. (2025). A Systematic Approach to Exergy Efficiency of Steady-Flow Systems. Entropy, 27(11), 1108. https://doi.org/10.3390/e27111108

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