Dynamic properties in an endoreversible Curzon–Ahlborn engine using a van der Waals gas as working substance

Páez-Hernández, Ricardo T.; Ladino-Luna, Delfino; Portillo-Díaz, Pedro

doi:10.1016/j.physa.2011.05.019

Cited by 7 publications

(5 citation statements)

References 9 publications

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“…These expressions are in accordance with the results reported in [27] when R = 1, and also with NIA conditions at maximum power output. Figure 2a shows the behavior of the power output (Equations (1) and (3)), for two values of the parameter of irreversibility R. It can be observed that while R decreases, that is, internal irreversibilities increase, the power decreases.…”

Section: Maximum Power Output (Mp)supporting

confidence: 92%

“…The second case was a model with internal irreversibilities and non-instantaneous adiabatic branches, using an ideal gas as a working substance in the regime of maximum power as shown in Equations (3) and (4). In this scenario, a stability study for a particular case when R = 1 was presented in [27]. The third case [23] presented the stability analysis for an engine with internal irreversibilities operating at maximum ecological function (Equations (5) and (6)).…”

Section: Steady-state Properties and Stability Analysis Of The Ca Enginementioning

confidence: 99%

“…Specifically, the relaxation time evolution derived from the linearization of the dynamic equations [23,25,27,29] are shown. Figure 7 shows the behavior of the relaxation times for the CA engine operating at maximum power (a) and maximum ecological function (b).…”

Section: Relaxation Times For Ni and Nia Adiabats: A Comparative Analmentioning

confidence: 99%

See 2 more Smart Citations

Dynamic and Thermodynamic Properties of a CA Engine with Non-Instantaneous Adiabats

Páez-Hernández

Sánchez-Salas

Chimal-Eguía

et al. 2017

Entropy

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Abstract:This paper presents an analysis of a Curzon and Alhborn thermal engine model where both internal irreversibilities and non-instantaneous adiabatic branches are considered, operating with maximum ecological function and maximum power output regimes. Its thermodynamic properties are shown, and an analysis of its local dynamic stability is performed. The results derived are compared throughout the work with the results obtained previously for a case in which the adiabatic branches were assumed as instantaneous. The results indicate a better performance for thermodynamic properties in the model with instantaneous adiabatic branches, whereas there is an improvement in robustness in the case where non-instantaneous adiabatic branches are considered.

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Section: Maximum Power Output (Mp)supporting

confidence: 92%

Section: Steady-state Properties and Stability Analysis Of The Ca Enginementioning

confidence: 99%

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Dynamic and Thermodynamic Properties of a CA Engine with Non-Instantaneous Adiabats

Páez-Hernández

Sánchez-Salas

Chimal-Eguía

et al. 2017

Entropy

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“…Páez-Hernández et al [ 9 , 10 ] studied the effects of robustness and time delay on the performance and local stability properties of a non-endoreversible Curzon–Ahlborn engine. Páez-Hernández et al [ 11 ] studied dynamic properties in an endoreversible Curzon–Ahlborn engine using a Van der Waals gas as a working substance. Páez-Hernández et al [ 12 ] studied the effects of time delays in endoreversible and non-endoreversible thermal engines working at different regimes.…”

Section: Introductionmentioning

confidence: 99%

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

Pacheco-Paez

Chimal-Eguía

Páez-Hernández

et al. 2022

Entropy

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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.

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“…More recently the local stability of thermal engines has been made considering Newton heat transfer [21][22][23][24] and Stefan-Boltzmann heat transfer [25], besides it has been made considering a working substance different to ideal gas [26].…”

Section: Introductionmentioning

confidence: 99%

Local Stability of Curzon-Ahlborn Cycle with Non-Linear Heat Transfer for Maximum Power Output Regime

Ladino-Luna¹,

Portillo-Díaz²,

Páez-Hernández³

2013

JMP

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The study of local stability of thermal engines modeled as an endoreversible Curzon and Ahlborn cycle is shown. It is assumed a non-linear heat transfer for heat fluxes in the system (engine + environments). A semisum of two expressions of the efficiency found in the literature of finite time thermodynamics for the maximum power output regime is considered in order to make the analysis. Expression of variables for local stability and power output is found even graphic results for important parameters in the analysis of stability, and a phase plane portrait is shown.

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Dynamic properties in an endoreversible Curzon–Ahlborn engine using a van der Waals gas as working substance

Cited by 7 publications

References 9 publications

Dynamic and Thermodynamic Properties of a CA Engine with Non-Instantaneous Adiabats

Dynamic and Thermodynamic Properties of a CA Engine with Non-Instantaneous Adiabats

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

Local Stability of Curzon-Ahlborn Cycle with Non-Linear Heat Transfer for Maximum Power Output Regime

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