A critical analysis of the minimum entropy production theorem and its application to heat and fluid flow

Bertola, Volfango; Cafaro, Emilio

doi:10.1016/j.ijheatmasstransfer.2007.06.041

Cited by 74 publications

(48 citation statements)

References 13 publications

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“…A variational principle developed by Ziman (1956) demonstrates that the entropy production assumes the maximum value in the steady state for transport process. Bertola and Cafaro (2008) found that generally the principle of minimum entropy production does not agree with the conventional Fourier law as well as mass, energy and momentum balance equations in continuum mechanics. In order to remedy the defects of the principle of the minimum entropy production, Guo et al (2007) developed the extremum principle of entransy dissipation in which only the irreversibility due to heat conduction under finite temperature difference was considered.…”

Section: Introductionmentioning

confidence: 93%

“…While Bertola and Cafaro (2008) found that the principle of minimum entropy production can not lead to the governing equation of the steady Fourier heat conduction. In this point, the principle of minimum entransy dissipation rate demonstrates an obvious advantage.…”

Section: Entransy Dissipation Due To Heat Conductionmentioning

confidence: 99%

“…Bejan's creative work led to the establishment of the minimization entropy generation approach which is widely applied in optimization designs of thermal equipments (Bejan, 1982(Bejan, , 1988(Bejan, , 1995(Bejan, , 1996. However some paradoxes and contradiction appear when the minimization entropy generation approach is applied to the heat transfer problems (Hesselgreaves, 2000;Bertola & Cafaro, 2008). Although a nondimensionalisation method for the entropy generation in heat exchanger was proposed by Hesselgreaves (2000) that avoids the 'entropy generation paradoxes', it has induced other contradictions.…”

Section: Introductionmentioning

confidence: 99%

“…Actually even for this principle itself, there are lots of controversies (Bertola & Cafaro, 2008;Jaynes, 1980;Mamedov, 2003;Landauer 1975;Ziman, 1956). Landauer (1975) found that the principle of the minimum entropy production is not valid even for some simple thermodynamic systems such as electric resistances.…”

Section: Introductionmentioning

confidence: 99%

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Entransy Dissipation Theory and Its Application in Heat Transfer

Xu¹

2011

Developments in Heat Transfer

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Section: Introductionmentioning

confidence: 93%

Section: Entransy Dissipation Due To Heat Conductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Entransy Dissipation Theory and Its Application in Heat Transfer

Xu¹

2011

Developments in Heat Transfer

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“…A new approach, the equipartition of temperature difference, EoTD, was proposed as a short-cut for minimizing entropy production by Balkan [7]. However, the entropy production minimization method also causes some inconsistencies and paradoxes [9][10][11]. Guo et al [12] pointed out that the focus of entropy production minimization was on the heat-work conversion process, while the rate and efficiency of heat transfer related more to heat exchanger designs.…”

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confidence: 99%

The entransy dissipation minimization principle under given heat duty and heat transfer area conditions

Guo

Cheng

2010

Chin. Sci. Bull.

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Under given heat duty and heat transfer area conditions, the equipartition of the entransy dissipation (EoED) principle, the equipartition of the temperature difference (EoTD) principle, and the equipartition of the heat flux (EoHF) principle are applied to the optimization design of a heat exchanger with a variable heat transfer coefficient. The results show that the difference between the results obtained using the EoED and EoTD principles is very small, far smaller than that between the results obtained using the EoED and EoHF principles. The correct entransy dissipation minimization principle is chosen to optimize the parameters in the hot and cold fluids in a two-fluid heat exchanger, under given heat duty and heat transfer area conditions. The results indicate that the proper choice of the two alternative fluids has an important role in the successful application of the entransy dissipation minimization principle. The fluid that could improve the total heat transfer coefficient should be chosen, or the fluid that makes the temperature profiles of the hot and cold fluids parallel and decreases the temperature difference between the hot and cold fluids after optimization simultaneously, could be the proper one. entransy dissipation, heat exchanger, equipartition of entransy dissipation, equipartition of temperature difference, equipartition of heat flux Citation:Guo J F, Xu M T, Cheng L. The entransy dissipation minimization principle under given heat duty and heat transfer area conditions. Chinese Sci Bull, 2011Bull, , 56: 2071Bull, −2076Bull, , doi: 10.1007 With the rapidly increasing price of petroleum and coal, the efficient use of energy resources has become one of the most effective ways of reducing demand on those resources. The heat exchanger as an energy utilization device is widely used in power engineering, petroleum refineries, and chemical and food industries. Hence, reducing unnecessary energy dissipation in a heat exchanger to improve its performance is an important goal. The heat transfer occurring in the heat exchange process usually involves heat conduction under a finite temperature difference, and with fluid friction and mixing. These are the typical irreversible non-equilibrium thermodynamic processes. In recent decades, the application of the second law of thermodynamics in heat exchangers has attracted a lot of attention [1].

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Beyond Linear Non-equilibrium Thermodynamics

Vita

2022

Lecture Notes in Physics

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A critical analysis of the minimum entropy production theorem and its application to heat and fluid flow

Cited by 74 publications

References 13 publications

Entransy Dissipation Theory and Its Application in Heat Transfer

Entransy Dissipation Theory and Its Application in Heat Transfer

The entransy dissipation minimization principle under given heat duty and heat transfer area conditions

Beyond Linear Non-equilibrium Thermodynamics

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