Heat devices in nonlinear irreversible thermodynamics

Izumida, Yuki; Okuda, Koji; Roco, J. M. M.; Hernández, A. Calvo

doi:10.1103/physreve.91.052140

Cited by 48 publications

(52 citation statements)

References 67 publications

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“…The above particular values of the COP at maximum cooling power are easily amenable to compare with similar results obtained under tight-coupling condition in minimally nonlinear models by Izumida et al [28], and for an autonomous thermoelectric device modeled assuming the exoreversible hypothesis by Apertet et al [29]. The slight differences could be explained as a consequence of the different assumptions taken into account in each kind of model.…”

Section: Refrigeratorssupporting

confidence: 71%

Time, entropy generation, and optimization in low-dissipation heat devices

2015

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We present new results obtained from the Carnot-like low-dissipation model of heat devices when size-and time-constraints are taken into account, in particular those obtained from the total cycle time and the contact times of the working system with the external heat reservoirs. The influence of these constraints and of the characteristic time scale of the model on the entropy generation allows for a clear and unified interpretation of different energetic properties for both heat engines and refrigerators (REs). Some conceptual subtleties with regard to different optimization criteria, especially for REs, are discussed. So, the different status of power input, cooling power, and the unified figure of merit χ are analyzed on the basis of their absolute or local role as optimization criteria.

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Section: Refrigeratorssupporting

confidence: 71%

Time, entropy generation, and optimization in low-dissipation heat devices

2015

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“…V. To conclude, LD models can exactly be mapped to MNI models with tight coupling if the later are further optimised with respect to the additional parameter α. However, to the best of our knowledge, this possibility is usually overlooked [15][16][17]25]. One exception where both models always give the same results are bounds on performance, obtained by taking the limits σ → 0 and ∞ (or, equivalently, γ → 0 and ∞).…”

Section: Discussionmentioning

confidence: 96%

Maximum efficiency of low-dissipation heat engines at arbitrary power

Holubec¹,

Ryabov²

2016

J. Stat. Mech.

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We investigate maximum efficiency at a given power for low-dissipation heat engines. Close to maximum power, the maximum gain in efficiency scales as a square root of relative loss in power and this scaling is universal for a broad class of systems. For the low-dissipation engines, we calculate the maximum gain in efficiency for an arbitrary fixed power. We show that the engines working close to maximum power can operate at considerably larger efficiency compared to the efficiency at maximum power. Furthermore, we introduce universal bounds on maximum efficiency at a given power for low-dissipation heat engines. These bounds represent direct generalization of the bounds on efficiency at maximum power obtained by Esposito et al. Phys. Rev. Lett. 105, 150603 (2010). We derive the bounds analytically in the regime close to maximum power and for small power values. For the intermediate regime we present strong numerical evidence for the validity of the bounds.

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“…Unlike the power output of the heat engine, the optimization parameter for refrigerator is not yet identified in general [62,[67][68][69][70]. However, the above general relations can also be obtained, if one can identify the suitable optimization criteria for refrigerator equivalent to the power output of the heat engine.…”

Section: Discussionmentioning

confidence: 99%

“…The input and output heat fluxes are, respectively,Q h andQ c . The entropy production rate at the reservoirs is given by [7,62] …”

Section: The Linear Irreversible Heat Enginementioning

confidence: 99%

General relations between the power, efficiency, and dissipation for the irreversible heat engines in the nonlinear response regime

Iyyappan

Ponmurugan

2018

Phys. Rev. E

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We derive the general relations between the maximum power, maximum efficiency and minimum dissipation for the irreversible heat engine in nonlinear response regime. In this context, we use the minimally nonlinear irreversible model and obtain the lower and upper bounds of the above relations for the asymmetric dissipation limits. These relations can be simplified further when the system possesses the time-reversal symmetry or anti-symmetry. We find that our results are the generalization of various such relations obtained earlier for different heat engines.

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Heat devices in nonlinear irreversible thermodynamics

Cited by 48 publications

References 67 publications

Time, entropy generation, and optimization in low-dissipation heat devices

Time, entropy generation, and optimization in low-dissipation heat devices

Maximum efficiency of low-dissipation heat engines at arbitrary power

General relations between the power, efficiency, and dissipation for the irreversible heat engines in the nonlinear response regime

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