Non-Equilibrium Thermodynamic Analysis on the Performance of an Irreversible Thermally Driven Brownian Motor

Gao, Tianfu; Chen, Jincan

doi:10.1142/s0217984910022408

Cited by 10 publications

(9 citation statements)

References 31 publications

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“…Feynman introduced an imaginary ratchet device, which can work as heat engine as well as refrigerator, in his famous lectures [51]. Many discussions have been made on this device [10][11][12][37][38][39]. The EMP for Feynman ratchet as a heat engine has been discussed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Coefficient of Performance at Maximum χ-Criterion for Feynman Ratchet as a Refrigerator

Sheng¹,

Yang²,

Tu³

2014

Commun. Theor. Phys.

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The χ-criterion is defined as the product of the energy conversion efficiency and the heat absorbed per unit time by the working substance [de Tomás et al., Phys. Rev. E, 85 (2012) The χ-criterion for Feynman ratchet as a refrigerator operating between two heat baths is optimized. Asymptotic solutions of the coefficient of performance at maximum χ-criterion for Feynman ratchet are investigated at both large and small temperature difference. An interpolation formula, which fits the numerical solution very well, is proposed. Besides, the sufficient condition for the universality of the coefficient of performance at maximum χ is investigated.

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Section: Introductionmentioning

confidence: 99%

Coefficient of Performance at Maximum χ-Criterion for Feynman Ratchet as a Refrigerator

Sheng¹,

Yang²,

Tu³

2014

Commun. Theor. Phys.

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“…When particles drift in viscous medium with different temperatures, the heat flow q kin caused by kinetic energy change of particles is as follows [83][84][85][88][89][90][91]:…”

Section: Modeling a Generalized Irreversible Thermal Brownian Motormentioning

confidence: 99%

“…Açıkkalp [90] investigated the performance of an irreversible thermal Brownian heat engine with kinetic energy loss under the thermoecological function and ecological COP regimes. Gao et al [91] considered heat leakage furtherly and established an irreversible Brownian heat engine model with multiple particles as working substance. The heat flow caused by friction between particles and viscous medium was not considered for those Brownian heat engine models proposed in Refs.…”

Section: Introductionmentioning

confidence: 99%

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A generalized irreversible thermal Brownian motor cycle and its optimal performance

Chen

Ding

et al. 2021

Eur. Phys. J. Plus

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A finite time thermodynamic model of generalized irreversible thermal Brownian motor is proposed, in which heat transfer rate of particles through potential field, heat absorption of particles that overcome external load, the kinetic energy loss of particles, heat flow caused by friction, heat leakage and thermal resistances between reservoir and Brownian motor are considered. The key performance parameters of Brownian motor are derived. The influences of design parameters and irreversible factors on the performances are analyzed. The performance characteristics are determined when the motor operates as a heat engine or a refrigerator. For the Brownian heat engine, the working regions are given when both the power and efficiency are large. By optimizing barrier height and the asymmetry of potential, the performance characteristics under the optimization objectives of maximum power and efficiency are obtained. For the Brownian refrigerator, the working regions are given when both the cooling load and coefficient of performance (COP) are large. By optimizing barrier height and external load, the performance characteristics under the optimization objectives of maximum cooling load and COP are obtained. The results show that external load reduces the drift velocity of particles. There exists an optimal barrier height to maximize the drift velocity or the number of particles. The design parameters influence the drift velocity and heat absorption of the particles and then modulates the performance of system. One can regulate the barrier height to satisfy that the system works in optimal regions in actual design processes. Compared with previous models, the newly established model is universal and the results obtained herein also include the previous ones.

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“…Gao et al [ 80 ] analyzed the effect of irreversible losses on Onsager coefficients. Gao and Chen [ 82 ] established an equivalent TBHE model. They studied it with non-equilibrium thermodynamics theory and obtained the Onsager coefficients at maximum power.…”

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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Non-Equilibrium Thermodynamic Analysis on the Performance of an Irreversible Thermally Driven Brownian Motor

Cited by 10 publications

References 31 publications

Coefficient of Performance at Maximum χ-Criterion for Feynman Ratchet as a Refrigerator

Coefficient of Performance at Maximum χ-Criterion for Feynman Ratchet as a Refrigerator

A generalized irreversible thermal Brownian motor cycle and its optimal performance

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

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