{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,2]],"date-time":"2025-12-02T15:19:54Z","timestamp":1764688794265,"version":"build-2065373602"},"reference-count":26,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2010,12,21]],"date-time":"2010-12-21T00:00:00Z","timestamp":1292889600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The purpose of this work is to precise and complete one recently proposed in the literature and relative to a general criterion to maximize the first law efficiency of irreversible heat engines. It is shown that the previous proposal seems to be a particular case. A new proposal has been developed for a Carnot irreversible thermomechanical heat engine at steady state associated to two infinite heat reservoirs (hot source, and cold sink): this constitutes the studied system. The presence of heat leak is accounted for, with the most simple form, as is done generally in the literature. Irreversibility is modeled through , created internal entropy rate in the converter (engine), and , total created entropy rate in the system. Heat transfer laws are represented as general functions of temperatures. These concepts are particularized to the most common heat transfer law (linear one). Consequences of the proposal are examined; some new analytical results are proposed for efficiencies.<\/jats:p>","DOI":"10.3390\/e12122470","type":"journal-article","created":{"date-parts":[[2010,12,22]],"date-time":"2010-12-22T05:09:35Z","timestamp":1292994575000},"page":"2470-2484","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Reconsideration of Criteria and Modeling in Order to Optimize the Efficiency of Irreversible Thermomechanical Heat Engines"],"prefix":"10.3390","volume":"12","author":[{"given":"Michel","family":"Feidt","sequence":"first","affiliation":[{"name":"Laboratoire d\u2019Energetique et de Mecanique Theorique et Appliquee (LEMTA-ENSEM), Avenue de la Foret de Haye 54516, Vandoeuvre 2, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2010,12,21]]},"reference":[{"key":"ref_1","unstructured":"Maury, J.P. (1987). Carnot et la Machine \u00e0 Vapeur, Presses Universitaires de France."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1119\/1.10023","article-title":"Efficiency of a Carnot engine at maximum power output","volume":"1","author":"Curzon","year":"1975","journal-title":"Am. J. Phys."},{"key":"ref_3","unstructured":"Chambadal, P. (1957). Les Centrales Nucl\u00e9aires, A. Colin."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/BF01507240","article-title":"The efficiency of atomic power stations (A review)","volume":"3","author":"Novikov","year":"1957","journal-title":"Atom. Energ."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"444","DOI":"10.3390\/e5050444","article-title":"Optimization of a thermoacoustic engine with a complex heat transfer exponent","volume":"5","author":"Wu","year":"2003","journal-title":"Entropy"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"519","DOI":"10.3390\/e5050519","article-title":"Effect of heat leak and finite thermal capacity on the optimal configuration of a two-heat-reservoir heat engine for another linear heat transfer law","volume":"5","author":"Zheng","year":"2003","journal-title":"Entropy"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"316","DOI":"10.3390\/e6030316","article-title":"Optimal cooling load and COP relationship of a four-heat-reservoir endoreversible absorption refrigerator cycle","volume":"6","author":"Chen","year":"2004","journal-title":"Entropy"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"108","DOI":"10.3390\/e7010108","article-title":"Van der Waals gas as working substance in a Curzon-Ahlborn-Novikov engine","volume":"7","year":"2005","journal-title":"Entropy"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"186","DOI":"10.3390\/e9040186","article-title":"On optimization of a non-endoreversible Curzon-Ahlborn cycle","volume":"9","year":"2007","journal-title":"Entropy"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"529","DOI":"10.3390\/e11040529","article-title":"Optimal thermodynamics\u2014New upperbounds (A review)","volume":"11","author":"Feidt","year":"2009","journal-title":"Entropy"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1063\/1.347744","article-title":"On optimizing maximum power heat engines","volume":"69","author":"Gordon","year":"1991","journal-title":"J. Appl. Phys."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1211","DOI":"10.1016\/0017-9310(88)90064-6","article-title":"Theory of heat transfer irreversible power plant","volume":"31","author":"Bejan","year":"1988","journal-title":"Int. J. Heat Mass Transfer"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1501","DOI":"10.1016\/S0196-8904(96)00103-3","article-title":"The influence of internal heat leak on the power vs. efficiency characteristics of heat engines","volume":"38","author":"Chen","year":"1997","journal-title":"Energ. Convers. Mgmt."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1002\/er.4440190503","article-title":"The efficiency of endoreversible heat engines with heat leak","volume":"19","author":"Moukalled","year":"1995","journal-title":"Int. J. Energ. Res."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1016\/0360-5442(82)90099-8","article-title":"The maximum power, hat demand and efficiency of a heat engine operating in steady state at less than Carnot efficiency","volume":"7","author":"Howe","year":"1982","journal-title":"Energy"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"514","DOI":"10.1115\/1.2906271","article-title":"Optimum heat power cycles for specified boundary conditions","volume":"113","author":"Ibrahim","year":"1991","journal-title":"J. Eng. Gas Turb. Power"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1173","DOI":"10.1016\/0360-5442(92)90006-L","article-title":"Finite-time thermodynamic analysis of a Carnot engine with internal irreversibility","volume":"17","author":"Wu","year":"1992","journal-title":"Energy"},{"key":"ref_18","first-page":"214","article-title":"A generalized of real heat engines and its performance","volume":"69","author":"Chen","year":"1996","journal-title":"J. Inst. Energ."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1088\/0022-3727\/32\/2\/006","article-title":"Effect of heat transfer law on the performance of a generalized irreversible Carnot engine","volume":"32","author":"Chen","year":"1999","journal-title":"J. Phys. D Appl. Phys."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"376","DOI":"10.1016\/j.apenergy.2004.09.009","article-title":"Optimal performance of a generalized irreversible Carnot engine","volume":"81","author":"Zhou","year":"2005","journal-title":"Appl. Energ."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1016\/j.apenergy.2007.06.001","article-title":"Generalized irreversible heat-engine experiencing a complex heat-transfer law","volume":"85","author":"Chen","year":"2008","journal-title":"Appl. Energ."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1144","DOI":"10.1088\/0022-3727\/27\/6\/011","article-title":"The maximum power output and maximum efficiency of an irreversible Carnot heat engine","volume":"27","author":"Chen","year":"1994","journal-title":"J. Phys. D Appl. Phys."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"829","DOI":"10.1016\/j.applthermaleng.2006.09.020","article-title":"Optimization of the direct Carnot cycle","volume":"27","author":"Feidt","year":"2007","journal-title":"Appl. Therm. Eng."},{"key":"ref_24","unstructured":"Bejan, A. (1982). Entropy Generation Trough Heat and Fluid Flow, Wiley."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"280","DOI":"10.1088\/0022-3727\/36\/3\/310","article-title":"A criterion to maximize the irreversible efficiency in heat engines","volume":"36","year":"2003","journal-title":"J. Phys. D Appl. Phys."},{"key":"ref_26","unstructured":"Feidt, M. (2010, January 22\u201325). Thermodynamics of energy systems and processes: A review and perspectives. Proceedings of 2nd International Conference on Energy Conversion and Conservation, Hammamet, Tunisia."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/12\/12\/2470\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T22:04:09Z","timestamp":1760220249000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/12\/12\/2470"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,12,21]]},"references-count":26,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2010,12]]}},"alternative-id":["e12122470"],"URL":"https:\/\/doi.org\/10.3390\/e12122470","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2010,12,21]]}}}