Global Stability of the Curzon-Ahlborn Engine with a Working Substance That Satisfies the van der Waals Equation of State
In this paper, we show an analysis of the global stability of a Curzon–Ahlborn engine considering that the working substance of the engine satisfies the Van der Waals equation of state, which is more general than the ideal gas case. We use the Lyapunov stability theory for the case where the engine...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/11/1655 |
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| author | Juan Carlos Pacheco-Paez Juan Carlos Chimal-Eguía Ricardo Páez-Hernández Delfino Ladino-Luna |
| author_facet | Juan Carlos Pacheco-Paez Juan Carlos Chimal-Eguía Ricardo Páez-Hernández Delfino Ladino-Luna |
| author_sort | Juan Carlos Pacheco-Paez |
| collection | DOAJ |
| description | In this paper, we show an analysis of the global stability of a Curzon–Ahlborn engine considering that the working substance of the engine satisfies the Van der Waals equation of state, which is more general than the ideal gas case. We use the Lyapunov stability theory for the case where the engine operates at a maximum power output. We analyze the steady state of the intermediate temperatures as well as the asymptotic behavior of the performance of the engine. Additionally, we study the relationship between the inherent time delay by analyzing the dynamic properties of the system and the stability of the steady state. We present illustrative graphs of the obtained results. Finally, we include a brief discussion of the obtained results and appropriate conclusions. |
| first_indexed | 2024-03-09T18:20:11Z |
| format | Article |
| id | doaj.art-068ee8f2c39b44bc9101f495d06e4052 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T18:20:11Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-068ee8f2c39b44bc9101f495d06e40522023-11-24T08:18:40ZengMDPI AGEntropy1099-43002022-11-012411165510.3390/e24111655Global Stability of the Curzon-Ahlborn Engine with a Working Substance That Satisfies the van der Waals Equation of StateJuan Carlos Pacheco-Paez0Juan Carlos Chimal-Eguía1Ricardo Páez-Hernández2Delfino Ladino-Luna3Basic Sciences Departament, Metropolitan Autonomus University, Campus Azcapotzalco, Av. San Pablo 180, Col. Reynosa, Mexico City CP 02200, MexicoLaboratorio de Simulación y Modelado, Centro de Investigación en Computación, Instituto Politécnico Nacional, Av. Juan de Dios Bátiz s/n UP Zacatenco, Mexico City CP 07738, MexicoÁrea de Física de Procesos Irreversibles, Basic Sciences Departament, Metropolitan Autonomus University, Campus Azcapotzalco, Av. San Pablo 180, Col. Reynosa, Mexico City CP 02200, MexicoÁrea de Física de Procesos Irreversibles, Basic Sciences Departament, Metropolitan Autonomus University, Campus Azcapotzalco, Av. San Pablo 180, Col. Reynosa, Mexico City CP 02200, MexicoIn this paper, we show an analysis of the global stability of a Curzon–Ahlborn engine considering that the working substance of the engine satisfies the Van der Waals equation of state, which is more general than the ideal gas case. We use the Lyapunov stability theory for the case where the engine operates at a maximum power output. We analyze the steady state of the intermediate temperatures as well as the asymptotic behavior of the performance of the engine. Additionally, we study the relationship between the inherent time delay by analyzing the dynamic properties of the system and the stability of the steady state. We present illustrative graphs of the obtained results. Finally, we include a brief discussion of the obtained results and appropriate conclusions.https://www.mdpi.com/1099-4300/24/11/1655Curzon–AhlbornVan der Waalsnonlinear dynamicLyapunovglobal stabilitytime delay |
| spellingShingle | Juan Carlos Pacheco-Paez Juan Carlos Chimal-Eguía Ricardo Páez-Hernández Delfino Ladino-Luna Global Stability of the Curzon-Ahlborn Engine with a Working Substance That Satisfies the van der Waals Equation of State Entropy Curzon–Ahlborn Van der Waals nonlinear dynamic Lyapunov global stability time delay |
| title | Global Stability of the Curzon-Ahlborn Engine with a Working Substance That Satisfies the van der Waals Equation of State |
| title_full | Global Stability of the Curzon-Ahlborn Engine with a Working Substance That Satisfies the van der Waals Equation of State |
| title_fullStr | Global Stability of the Curzon-Ahlborn Engine with a Working Substance That Satisfies the van der Waals Equation of State |
| title_full_unstemmed | Global Stability of the Curzon-Ahlborn Engine with a Working Substance That Satisfies the van der Waals Equation of State |
| title_short | Global Stability of the Curzon-Ahlborn Engine with a Working Substance That Satisfies the van der Waals Equation of State |
| title_sort | global stability of the curzon ahlborn engine with a working substance that satisfies the van der waals equation of state |
| topic | Curzon–Ahlborn Van der Waals nonlinear dynamic Lyapunov global stability time delay |
| url | https://www.mdpi.com/1099-4300/24/11/1655 |
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