Global Stability of the Curzon-Ahlborn Engine with a Working Substance That Satisfies the van der Waals Equation of State.

Juan Carlos Pacheco-Paez, Juan Carlos Chimal-Eguía, Ricardo Páez-Hernández, Delfino Ladino-Luna

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Article in Entropy (Basel, Switzerland), 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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4 authors.

Juan Carlos Pacheco-PaezBasic Sciences Departament, Metropolitan Autonomus University, Campus Azcapotzalco, Av. San Pablo 180, Col. Reynosa, Mexico City CP 02200, Mexico.

Juan Carlos Chimal-EguíaLaboratorio 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, Mexico.ORCID 0000-0001-7134-0190

Ricardo Páez-HernándezÁrea de Física de Procesos Irreversibles, Basic Sciences Departament, Metropolitan Autonomus University, Campus Azcapotzalco, Av. San Pablo 180, Col. Reynosa, Mexico City CP 02200, Mexico.ORCID 0000-0001-9401-8436

Delfino Ladino-LunaÁrea de Física de Procesos Irreversibles, Basic Sciences Departament, Metropolitan Autonomus University, Campus Azcapotzalco, Av. San Pablo 180, Col. Reynosa, Mexico City CP 02200, Mexico.

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6 · The paper itself

Abstract

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.

Indexed as

Curzon–Ahlbornglobal stabilityLyapunovnonlinear dynamictime delayVan der Waals

Identifiers

PMID36421508

DOI10.3390/e24111655

PMCPMC9689644

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