Finite Time Thermodynamics:  Limiting Performance of Diffusion Engines and Membrane Systems

Цирлин, А. М.; Leskov, E. E.; Казаков, Владимир

doi:10.1021/jp053637j

Cited by 31 publications

(24 citation statements)

References 14 publications

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“…The same surprising conclusion of course results if this thermal system is replaced by a chemical potential system. [67] The method of averaged optimal control has been applied by Tsirlin and his group to a number of different optimizations, primarily in thermodynamics [14,18,59,62,75,[77][78][79][80] and economics. [79][80][81][82][83] In work related to Section 4, they applied the method to a distillation column, treating the throughput and the heat exchanges at different temperatures in an average way while minimizing the heat requirement of the column.…”

Section: Averaged Optimal Controlmentioning

confidence: 99%

Current Trends in Finite‐Time Thermodynamics

2011

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The cornerstone of finite-time thermodynamics is all about the price of haste and how to minimize it. Reversible processes may be ultimately efficient, but they are unrealistically slow. In all situations-chemical, mechanical, economical-we pay extra to get the job done quickly. Finite-time thermodynamics can be used to develop methods to limit that extra expenditure, be it in energy, entropy production, money, or something entirely different. Finite-time thermodynamics also includes methods to calculate the optimal path or mode of operation to achieve this minimal expenditure. The concept is to place the system of interest in contact with a time-varying environment which will coax the system along the desired path, much like guiding a horse along by waving a carrot in front of it.

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Section: Averaged Optimal Controlmentioning

confidence: 99%

Current Trends in Finite‐Time Thermodynamics

2011

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“…Ein schönes Beispiel ist eine Wärmekraftmaschine, die an verschiedene, kalte, wärmere und heiße, Temperaturreservoirs gekoppelt ist (Abbildung 5). [76,77] [67] Die gemittelt optimierte Regelung wurde von der Arbeitsgruppe Tsirlin auf eine Reihe verschiedener Optimierungsprobleme eingesetzt, wobei der Schwerpunkt auf der Thermodynamik [14,18,59,62,75,[77][78][79][80] und ökonomischen Fragestellungen [79][80][81][82][83] lag. Die Gruppe wendete die Methode auch auf die in Abschnitt 4 behandelte Destillation an, wobei in der Minimierung des Gesamtwärmebedarfs der Kolonne der Durchsatz und Wärmefluss bei verschiedenen Temperaturen in einer gemittelten Weise betrachtet wurden.…”

Section: Gemittelt Optimierte Regelungunclassified

Aktuelle Trends in der Thermodynamik in endlicher Zeit

Andresen

2011

Angewandte Chemie

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Das Leitmotiv der Thermodynamik in endlicher Zeit (“finite‐time thermodynamics”) ist der Preis der Ungeduld und seine Minimierung. Reversible Prozesse können vollständig effizient sein, laufen jedoch meist unverhältnismäßig langsam ab. In allen Situationen – chemisch, mechanisch oder ökonomisch – sind wir bereit, mehr zu zahlen, damit eine Aufgabe schneller erledigt wird. Die Thermodynamik in endlicher Zeit befasst sich mit der Entwicklung von Methoden, diese Zusatzkosten zu begrenzen, wobei diese nicht zwingend monetär sein müssen, sondern sich auch auf Energieaufwand, Entropieproduktion oder dergleichen beziehen können. Die Thermodynamik in endlicher Zeit bietet Verfahren, den optimalen Pfad oder Betriebsmodus bei minimalem Zusatzaufwand zu berechnen. Ausgangspunkt ist es dabei, das System durch den Einfluss einer zeitlich variierenden Umgebung auf den optimalen Weg zu bringen; dies ist wie das Lenken eines Pferdes, das man einer Karotte an einem Stock nachlaufen lässt.

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“…It is assumed that the chemical potential capacities of the mass reservoirs (similar to the thermal capacity of a heat reservoir, see ref. [11]) are infinite, and the mass exchange obeys the mass transfer law of linear irreversible thermodynamics [10][11][12][13][14][15][16][17][18][19][20][21][22][23] . Under this circumstance, there exist the following relationships:…”

Section: A Generalized Irreversible Cycle Modelmentioning

confidence: 99%

“…(16), (17), (19), (20), (22) and (23) The second law efficiency of the chemical engine at maximum power output is 1/2 [13,14] .…”

Section: Case 1: I = 1 and H Li = 0 (I = 1 2 3)mentioning

confidence: 99%

“…Similarly, chemical engines generate work from differences in chemical potentials. Chemical potential and mass transfer in chemical engines play the analogous roles of temperature and heat current in heat engines [10][11][12][13][14][15][16][17][18][19] . The inverse cycle of a heat engine is a refrigerator cycle, a heat pump cycle or a heat transformer cycle.…”

Section: Introductionmentioning

confidence: 99%

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Optimal performance of a generalized irreversible four-reservoir isothermal chemical potential transformer

Xia

Chen

Sun

2008

Sci. China Ser. B-Chem.

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A new cyclic model of a four-reservoir isothermal chemical potential transformer with irreversible mass transfer, mass leakage and internal dissipation is put forward in this paper. The optimal relation between the coefficient of performance (COP) and the rate of energy pumping of the generalized irreversible four-reservoir isothermal chemical potential transformer has been derived by using finite-time thermodynamics or thermodynamic optimization. The maximum COP and the corresponding rate of energy pumping, as well as the maximum rate of energy pumping and the corresponding COP, have been obtained. Moreover, the influences of the irreversibility on the optimal performance of the isothermal chemical potential transformer have been revealed. It was found that the mass leakage affects the optimal performance both qualitatively and quantitatively, while the internal dissipation affects the optimal performance quantitatively. The results obtained herein can provide some new theoretical guidelines for the optimal design and development of a class of isothermal chemical potential transformers, such as mass exchangers, electrochemical, photochemical and solid state devices, fuel pumps, etc.isothermal four-reservoir chemical potential transformer, coefficient of performance, rate of energy pumping, finite time thermodynamics

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Finite Time Thermodynamics: Limiting Performance of Diffusion Engines and Membrane Systems

Cited by 31 publications

References 14 publications

Current Trends in Finite‐Time Thermodynamics

Current Trends in Finite‐Time Thermodynamics

Aktuelle Trends in der Thermodynamik in endlicher Zeit

Optimal performance of a generalized irreversible four-reservoir isothermal chemical potential transformer

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