The maximum power output and maximum efficiency of an irreversible Carnot heat engine

Chen, Jincan

doi:10.1088/0022-3727/27/6/011

Cited by 267 publications

(193 citation statements)

References 24 publications

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“…For I = 1, the relationship between area and contact time is inversely proportional; that is, if the area is augmented the time is reduced. This result does not depend explicitly of I and differs of one presented in [4] and [2].…”

Section: Maximum Power Ecological Function and Efficiencysupporting

confidence: 44%

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Maximum power, ecological function and efficiency of an irreversible Carnot cycle: a cost and effectiveness optimization

Aragón-González¹,

Canales-Palma²,

León-Galicia³

et al. 2008

Braz. J. Phys.

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In this work we include, for the Carnot cycle, irreversibilities of linear finite rate of heat transfers between the heat engine and its reservoirs, heat leak between the reservoirs and internal dissipations of the working fluid. A first optimization of the power output, the efficiency and ecological function of an irreversible Carnot cycle, with respect to: internal temperature ratio, time ratio for the heat exchange and the allocation ratio of the heat exchangers; is performed. For the second and third optimizations, the optimum values for the time ratio and internal temperature ratio are substituted into the equation of power and, then, the optimizations with respect to the cost and effectiveness ratio of the heat exchangers are performed. Finally, a criterion of partial optimization for the class of irreversible Carnot engines is herein presented.

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Section: Maximum Power Ecological Function and Efficiencysupporting

confidence: 44%

“…The maximum power and efficiency have been obtained in [4], [5] and [10]. The maximum ecological function was obtained in [12] for the CA-engine and in form more general in [7].…”

Section: Introductionmentioning

confidence: 97%

Maximum power, ecological function and efficiency of an irreversible Carnot cycle: a cost and effectiveness optimization

Aragón-González¹,

Canales-Palma²,

León-Galicia³

et al. 2008

Braz. J. Phys.

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“…On the other hand, the efficiency can change much more rapidly and thus, for suitable parameters, the loss of power can be much smaller than the gain in efficiency [52][53][54]. This change in performance can be characterized by the dimensionless trade-off measure The function H stands for the Heaviside unit step function.…”

Section: Efficiency Near Maximum Powermentioning

confidence: 99%

“…Investigation of the trade-off between power and efficiency is immensely important for engineering practice, where not only powerful, but also economical devices should be developed. Indeed, it was already highlighted [52][53][54] that actual thermal plants and heat engines should not work at the maximum power, where the corresponding efficiency can be relatively small, but rather in a regime with slightly smaller power and considerably larger efficiency. Our results strongly support these findings.…”

Section: Introductionmentioning

confidence: 99%

Efficiency at and near maximum power of low-dissipation heat engines

Holubec

Ryabov

2015

Phys. Rev. E

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A new universality in optimization of trade-off between power and efficiency for low-dissipation Carnot cycles is presented. It is shown that any trade-off measure expressible in terms of efficiency and the ratio of power to its maximum value can be optimized independently of most details of the dynamics and of the coupling to thermal reservoirs. The result is demonstrated on two specific trade-off measures. The first one is designed for finding optimal efficiency for a given output power and clearly reveals diseconomy of engines working at maximum power. As the second example we derive universal lower and upper bounds on the efficiency at maximum trade-off given by the product of power and efficiency. The results are illustrated on a model of a diffusion-based heat engine. Such engines operate in the low-dissipation regime given that the used driving minimizes the work dissipated during the isothermal branches. The peculiarities of the corresponding optimization procedure are reviewed and thoroughly discussed.

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“…where R is the so-called non-endoreversibility parameter [32,33]. Substituting Equations (2) and (3) into Equation (8), a relationship between T Y and T X is obtained as,…”

Section: Theoretical Modelmentioning

confidence: 99%

Finite-Time Thermoeconomic Optimization of a Solar-Driven Heat Engine Model

Barranco-Jiménez¹,

Sánchez-Salas²,

Angulo‐Brown³

2011

Entropy

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In the present paper, the thermoeconomic optimization of an irreversible solar-driven heat engine model has been carried out by using finite-time/finite-size thermodynamic theory. In our study we take into account losses due to heat transfer across finite time temperature differences, heat leakage between thermal reservoirs and internal irreversibilities in terms of a parameter which comes from the Clausius inequality. In the considered heat engine model, the heat transfer from the hot reservoir to the working fluid is assumed to be Dulong-Petit type and the heat transfer to the cold reservoir is assumed of the Newtonian type. In this work, the optimum performance and two design parameters have been investigated under two objective functions: the power output per unit total cost and the ecological function per unit total cost. The effects of the technical and economical parameters on the thermoeconomic performance have been also discussed under the aforementioned two criteria of performance.

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The maximum power output and maximum efficiency of an irreversible Carnot heat engine

Cited by 267 publications

References 24 publications

Maximum power, ecological function and efficiency of an irreversible Carnot cycle: a cost and effectiveness optimization

Maximum power, ecological function and efficiency of an irreversible Carnot cycle: a cost and effectiveness optimization

Efficiency at and near maximum power of low-dissipation heat engines

Finite-Time Thermoeconomic Optimization of a Solar-Driven Heat Engine Model

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