Attainability of Maximum Work and the Reversible Efficiency of Minimally Nonlinear Irreversible Heat Engines

Ponmurugan, M.

doi:10.1515/jnet-2018-0009

Cited by 13 publications

(9 citation statements)

References 64 publications

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“…Of particular interest are efficiency considerations. From the seminal work of Curzon and Ahlborn [ 20 ], to recent publications concerning non-linear irreversible systems [ 21 , 22 , 23 , 24 ], stochastic fluctuations [ 25 , 26 , 27 ], thermoelectric generators [ 28 ], biological processes [ 29 ] or general realizability domains [ 30 ] a multitude of investigations were carried out.…”

Section: Introductionmentioning

confidence: 99%

Optimized Piston Motion for an Alpha-Type Stirling Engine

Masser

Khodja

Scheunert

et al. 2020

Entropy

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The Stirling engine is one of the most promising devices for the recovery of waste heat. Its power output can be optimized by several means, in particular by an optimized piston motion. Here, we investigate its potential performance improvements in the presence of dissipative processes. In order to ensure the possibility of a technical implementation and the simplicity of the optimization, we restrict the possible piston movements to a parametrized class of smooth piston motions. In this theoretical study the engine model is based on endoreversible thermodynamics, which allows us to incorporate non-equilibrium heat and mass transfer as well as the friction of the piston motion. The regenerator of the Stirling engine is modeled as ideal. An investigation of the impact of the individual loss mechanisms on the resulting optimized motion is carried out for a wide range of parameter values. We find that an optimization within our restricted piston motion class leads to a power gain of about 50% on average.

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Section: Introductionmentioning

confidence: 99%

Optimized Piston Motion for an Alpha-Type Stirling Engine

Masser

Khodja

Scheunert

et al. 2020

Entropy

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“…[30,31] respectively demonstrate the incompatibility for underdamped Langevin particles with two heat baths and for isothermal driven systems. On the other hand, some researches proposed ideas to realize these two simultaneously [32][33][34][35][36] (some comments on these studies are seen in Ref. [37]).…”

Section: Introductionmentioning

confidence: 99%

Efficiency versus speed in quantum heat engines: Rigorous constraint from Lieb-Robinson bound

Shiraishi

Tajima

2017

Phys. Rev. E

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A long standing open problem whether a heat engine with finite power achieves the Carnot efficiency is investigated. We rigorously prove a general trade-off inequality on thermodynamic efficiency and time interval of a cyclic process with quantum heat engines. In a first step, employing the Lieb-Robinson bound we establish an inequality on the change in a local observable caused by an operation far from support of the local observable. This inequality provides a rigorous characterization of the following intuitive picture that most of the energy emitted from the engine to the cold bath remains near the engine when the cyclic process is finished. Using the above description, we finally prove an upper bound on efficiency with the aid of quantum information geometry. Our result generally excludes the possibility of a process with finite speed at the Carnot efficiency in quantum heat engines. In particular, the obtained constraint covers engines evolving with non-Markovian dynamics, which almost all previous studies on this topics fail to address.

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“…FTT theory has been applied for performance optimization of various macro energy systems. The applications of FTT include many aspects and the two major aspects are optimal configurations [ 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 ] and optimal performances [ 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 ,…”

Section: Introductionmentioning

confidence: 99%

Modeling and Performance Optimization of an Irreversible Two-Stage Combined Thermal Brownian Heat Engine

Chen

Ding

Chen

et al. 2021

Entropy

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Based on finite time thermodynamics, an irreversible combined thermal Brownian heat engine model is established in this paper. The model consists of two thermal Brownian heat engines which are operating in tandem with thermal contact with three heat reservoirs. The rates of heat transfer are finite between the heat engine and the reservoir. Considering the heat leakage and the losses caused by kinetic energy change of particles, the formulas of steady current, power output and efficiency are derived. The power output and efficiency of combined heat engine are smaller than that of single heat engine operating between reservoirs with same temperatures. When the potential filed is free from external load, the effects of asymmetry of the potential, barrier height and heat leakage on the performance of the combined heat engine are analyzed. When the potential field is free from external load, the effects of basic design parameters on the performance of the combined heat engine are analyzed. The optimal power and efficiency are obtained by optimizing the barrier heights of two heat engines. The optimal working regions are obtained. There is optimal temperature ratio which maximize the overall power output or efficiency. When the potential filed is subjected to external load, effect of external load is analyzed. The steady current decreases versus external load; the power output and efficiency are monotonically increasing versus external load.

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Attainability of Maximum Work and the Reversible Efficiency of Minimally Nonlinear Irreversible Heat Engines

Cited by 13 publications

References 64 publications

Optimized Piston Motion for an Alpha-Type Stirling Engine

Optimized Piston Motion for an Alpha-Type Stirling Engine

Efficiency versus speed in quantum heat engines: Rigorous constraint from Lieb-Robinson bound

Modeling and Performance Optimization of an Irreversible Two-Stage Combined Thermal Brownian Heat Engine

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