{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:02:44Z","timestamp":1760241764990,"version":"build-2065373602"},"reference-count":28,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2018,8,25]],"date-time":"2018-08-25T00:00:00Z","timestamp":1535155200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>This paper presents a finite-time thermodynamic optimization based on three different optimization criteria: Maximum Power Output (MP), Maximum Efficient Power (MEP), and Maximum Power Density (MPD), for a simplified Curzon-Ahlborn engine that was first proposed by Agrawal. The results obtained for the MP are compared with those obtained using MEP and MPD criteria. The results show that when a Newton heat transfer law is used, the efficiency values of the engine working in the MP regime are lower than the efficiency values (   \u03c4   ) obtained with the MEP and MPD regimes for all values of the parameter     \u03c4 =  T 2  \/  T 1     , where      T 1      and      T 2      are the hot and cold temperatures of the engine reservoirs      (   T 2  &lt;  T 1   )     , respectively. However, when a Dulong-Petit heat transfer law is used, the efficiency values of the engine working at MEP are larger than those obtained with the MP and the MPD regimes for all values of    \u03c4   . Notably, when     0 &lt; \u03c4 &lt; 0.68    , the efficiency values for the MP regime are larger than those obtained with the MPD regime. Also, when     0.68 &lt; \u03c4 &lt; 1    , the efficiency values for the aforementioned regimes are similar. Importantly, the parameter    \u03c4    plays a crucial role in the engine performance, providing guidance during the design of real power plants.<\/jats:p>","DOI":"10.3390\/e20090637","type":"journal-article","created":{"date-parts":[[2018,8,27]],"date-time":"2018-08-27T10:56:04Z","timestamp":1535367364000},"page":"637","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Comparative Performance Analysis of a Simplified Curzon-Ahlborn Engine"],"prefix":"10.3390","volume":"20","author":[{"given":"Ricardo T.","family":"P\u00e1ez-Hern\u00e1ndez","sequence":"first","affiliation":[{"name":"\u00c1rea de F\u00edsica de Procesos Irreversibles, Departamento de Ciencias B\u00e1sicas, Universidad Aut\u00f3noma Metropolitana, U-Azcapotzalco. A. San Pablo 180, Col. Reynosa, Ciudad de M\u00e9xico CP 02200, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7134-0190","authenticated-orcid":false,"given":"Juan Carlos","family":"Chimal-Egu\u00eda","sequence":"additional","affiliation":[{"name":"Laboratorio de Simulaci\u00f3n y Modelado, Centro de Investigaci\u00f3nen Computaci\u00f3n, Instituto Polit\u00e9cnico Nacional, Av. Juan de Dios Batiz s\/n UP Zacatenco, Ciudad de M\u00e9xico CP 07738, Mexico"}]},{"given":"Delfino","family":"Ladino-Luna","sequence":"additional","affiliation":[{"name":"\u00c1rea de F\u00edsica de Procesos Irreversibles, Departamento de Ciencias B\u00e1sicas, Universidad Aut\u00f3noma Metropolitana, U-Azcapotzalco. A. San Pablo 180, Col. Reynosa, Ciudad de M\u00e9xico CP 02200, Mexico"}]},{"given":"Juan Manuel","family":"Vel\u00e1zquez-Arcos","sequence":"additional","affiliation":[{"name":"\u00c1rea de F\u00edsica de Procesos Irreversibles, Departamento de Ciencias B\u00e1sicas, Universidad Aut\u00f3noma Metropolitana, U-Azcapotzalco. A. San Pablo 180, Col. Reynosa, Ciudad de M\u00e9xico CP 02200, Mexico"}]}],"member":"1968","published-online":{"date-parts":[[2018,8,25]]},"reference":[{"key":"ref_1","first-page":"125","article-title":"The efficiency of atomic power stations (a review)","volume":"7","author":"Novikov","year":"1958","journal-title":"J. Nucl. Energy"},{"key":"ref_2","unstructured":"Chambadal, P. (1957). Les Centrales Nucleaires, Armand Colin. (In French)."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1119\/1.10023","article-title":"Efficiency of a Carnot engine at maximum power output","volume":"43","author":"Curzon","year":"1975","journal-title":"Am. J. Phys."},{"key":"ref_4","unstructured":"Sieniutycs, S., and Salamon, P. (1990). Finite Time Thermodynamics and Thermoeconomics, Taylor and Francis."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1272","DOI":"10.1103\/PhysRevA.19.1272","article-title":"Optimal configuration of a class of irreversibles heat engines I","volume":"19","author":"Rubin","year":"1979","journal-title":"Phys. Rev. A"},{"key":"ref_6","first-page":"21","article-title":"Basis of a general approach for finite time thermodynamics applied to two heat reservoir machines","volume":"92","author":"Feidt","year":"1992","journal-title":"ECOS"},{"key":"ref_7","first-page":"311","article-title":"Endoreversible Thermodynamics","volume":"22","author":"Hoffmann","year":"1997","journal-title":"J. Non-Equilib. Thermodyn."},{"key":"ref_8","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":"Cheng","year":"1999","journal-title":"J. Phys. D Appl. Phys."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"3740","DOI":"10.1063\/1.455832","article-title":"The effect of heat transfer law on the performance of a two-heat-source endoreversible cycle","volume":"90","author":"Chen","year":"1989","journal-title":"J. Chem. Phys."},{"key":"ref_10","unstructured":"Wu, C., Chen, L., and Chen, J. (1999). Recent Advances in Finite-Time Thermodynamics, Nova Science."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1191","DOI":"10.1063\/1.362674","article-title":"Entropy generation minimization: The new thermodynamics of finite-size devices and finite-time processes","volume":"79","author":"Bejan","year":"1996","journal-title":"J. App. Phys."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1515\/JNETDY.1999.020","article-title":"Finite Time Thermodynamic Optimization or Entropy Generation Minimization of Energy Systems","volume":"24","author":"Chen","year":"1999","journal-title":"J. Non-Equilib. Thermodyn."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1309","DOI":"10.1088\/0022-3727\/28\/7\/005","article-title":"Efficiency of a Joule-Brayton engine at maximum power density","volume":"28","author":"Sahin","year":"1995","journal-title":"J. Phys. D Appl. Phys."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1162","DOI":"10.1088\/0022-3727\/29\/5\/008","article-title":"Maximum power density analysis of an irreversible Joule Brayton engine","volume":"29","author":"Sahin","year":"1996","journal-title":"J. Phys. D Appl. Phys."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/S0196-8904(99)00107-7","article-title":"A comparative performance analysis of irreversible Carnot heat engines under maximum power density and maximum power conditions","volume":"41","author":"Kodal","year":"2000","journal-title":"Energy Convers. Mgmt."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1016\/S0196-8904(96)00195-1","article-title":"Efficiency of an Atkinson engine at maximum power density","volume":"39","author":"Chen","year":"1998","journal-title":"Energy Convers. Mgmt."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1179\/174602206X90931","article-title":"New performance criterion for heat engines: Efficient power","volume":"79","author":"Yilmaz","year":"2006","journal-title":"J. Energy Inst."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"2263","DOI":"10.1007\/s13369-013-0773-0","article-title":"Power and efficiency analysis of Diesel cycle under alternative criteria","volume":"39","author":"Atmaca","year":"2014","journal-title":"Arab. J. Sci. Eng."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"224","DOI":"10.1016\/j.physa.2015.11.030","article-title":"Optimum performance for energy transfer in a chemical reaction system","volume":"446","year":"2016","journal-title":"Physica A"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1173","DOI":"10.1088\/0143-0807\/30\/5\/024","article-title":"A simplified version of the Curzon-Ahlborn engine","volume":"40","author":"Agrawal","year":"2009","journal-title":"Eur. J. Phys."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1515\/jnet-2015-0032","article-title":"An analytical study of the endoreversible Curzon-Ahlborn cycle for a non-linear heat transfer law","volume":"41","year":"2016","journal-title":"J. Non-Equilib. Thermodyn."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1515\/jnet-2017-0051","article-title":"General properties for an Agrawal thermal engine","volume":"43","year":"2018","journal-title":"J. Non-Equilib. Thermodyn."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"014911","DOI":"10.1063\/1.2212271","article-title":"Convective heat transfer law for an endoreversible engine","volume":"100","author":"Hulueilhil","year":"2006","journal-title":"J. Appl. Phys."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1002\/er.1377","article-title":"Efficient power analysis for an irreversible Carnot heat engine","volume":"32","author":"Yilmaz","year":"2008","journal-title":"Int. J. Energy Res."},{"key":"ref_25","unstructured":"Bejan, A. (1988). Advanced Engineering Thermodynamics, Wiley."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"2068","DOI":"10.1088\/0022-3727\/34\/13\/318","article-title":"Local stability of an endoreversible Curzon-Ahlborn-Novikov engine working in a maximum-power-like regime","volume":"34","author":"Maya","year":"2001","journal-title":"J. Phys. D Appl. Phys."},{"key":"ref_27","first-page":"173","article-title":"Dynamic robustness and thermodynamic optimization in a non-endoreversible Curzon-Ahlborn engine","volume":"31","year":"2006","journal-title":"J. Non-Equilib. Thermodyn."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"422","DOI":"10.3390\/e13020422","article-title":"On the Dynamic robustness of a non-endoreversible engine working in different operations regimes","volume":"13","year":"2011","journal-title":"Entropy"}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/20\/9\/637\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T15:21:05Z","timestamp":1760196065000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/20\/9\/637"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,8,25]]},"references-count":28,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2018,9]]}},"alternative-id":["e20090637"],"URL":"https:\/\/doi.org\/10.3390\/e20090637","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2018,8,25]]}}}