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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...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9689644/ https://www.ncbi.nlm.nih.gov/pubmed/36421508 http://dx.doi.org/10.3390/e24111655 |
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author | Pacheco-Paez, Juan Carlos Chimal-Eguía, Juan Carlos Páez-Hernández, Ricardo Ladino-Luna, Delfino |
author_facet | Pacheco-Paez, Juan Carlos Chimal-Eguía, Juan Carlos Páez-Hernández, Ricardo Ladino-Luna, Delfino |
author_sort | Pacheco-Paez, Juan Carlos |
collection | PubMed |
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. |
format | Online Article Text |
id | pubmed-9689644 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-96896442022-11-25 Global Stability of the Curzon-Ahlborn Engine with a Working Substance That Satisfies the van der Waals Equation of State Pacheco-Paez, Juan Carlos Chimal-Eguía, Juan Carlos Páez-Hernández, Ricardo Ladino-Luna, Delfino Entropy (Basel) Article 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. MDPI 2022-11-14 /pmc/articles/PMC9689644/ /pubmed/36421508 http://dx.doi.org/10.3390/e24111655 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Pacheco-Paez, Juan Carlos Chimal-Eguía, Juan Carlos Páez-Hernández, Ricardo Ladino-Luna, Delfino Global Stability of the Curzon-Ahlborn Engine with a Working Substance That Satisfies the van der Waals Equation of State |
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 | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9689644/ https://www.ncbi.nlm.nih.gov/pubmed/36421508 http://dx.doi.org/10.3390/e24111655 |
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