Principle of equipartition of entransy dissipation for heat exchanger design

Guo, Jiangfeng; Xu, Mingtian; Cheng, Lin

doi:10.1007/s11431-010-0128-y

Cited by 53 publications

(20 citation statements)

References 19 publications

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“…Based on the concept of entransy dissipation, Guo et al [4] developed the extremum entransy dissipation principle, defined the entransy-dissipation-based thermal resistance, and proposed the minimum thermal resistance principle. It was found that the principles of the entransy theory are appropriate to the optimization of heat conduction [5][6][7][8][9][10][11][12][13], heat convection [14][15][16][17], thermal radiation, design of heat exchangers [21][22][23][24][25][26][27] and phase change heat transfer processes [28]. Eqs.…”

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Relationship between microstate number and available entransy

Cheng

Liang

2012

Chin. Sci. Bull.

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Based on the relationship between entransy and microstate number, we discuss the variations of the available transport entransy, the unavailable transport entransy, the available conversion entransy and the unavailable conversion entransy with the microstate number. We focus on physical processes in which heat is used for heating/cooling or doing work. When heat is transported for heating or cooling, the available transport entransy increases if the increase in microstate number is due to the increase in internal energy of the system, and decreases if the increase in microstate number is due to spontaneous heat transfer. When heat is used to do work, both the available conversion entransy and the unavailable conversion entransy increase if the increase in microstate number relates to the growth in internal energy of the system. The available conversion entransy decreases and the unavailable conversion entransy increases if the increase in microstate number results from spontaneous heat transfer. microstate number, entransy, available entransy, unavailable entransy

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Relationship between microstate number and available entransy

Cheng

Liang

2012

Chin. Sci. Bull.

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“…Meanwhile, the temperature difference between the hot and cold fluids is uniform along the heat exchanger, which is called the principle of equipartition of heat flux (EoHF) in this paper. Guo et al [19] pointed out that the entransy dissipation rate reaches the minimum for a given heat duty and heat transfer area when the local entransy dissipation rate is uniformly distributed along the heat exchanger, no matter whether the heat transfer coefficient is constant or variable, which is called the principle of equipartition of entransy dissipation (EoED). They found that the EoED principle has better performance than the EoTD principle when heat transfer coefficient is variable.…”

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“…When the heat transfer coefficient is constant, these three principles are equivalent [19]. However, the reality is that the heat transfer coefficient is variable in heat exchangers.…”

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“…According to the principle of equipartition of entransy dissipation (EoED), the expressions of temperature gradient of hot fluid, heat flux density, local entransy dissipation rate and temperature of cold fluid in the heat exchanger can be deduced as [19]:…”

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“…Accordingly, the temperature of the hot fluid, heat flux density, local entransy dissipation rate and temperature of the cold fluid in the heat exchanger can be determined. According to the principle of equipartition of temperature difference (EoTD), when the temperature difference between the hot and cold fluids is uniform in the heat exchanger, the expressions for the temperature gradient of the hot fluid, heat flux density, local entransy dissipation rate and temperature of the cold fluid in the heat exchanger can be deduced as [19]:…”

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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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Thermodynamic Analysis and Optimization Design of Heat Exchanger

Guo

2013

Advances in Transport Phenomena 2011

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Principle of equipartition of entransy dissipation for heat exchanger design

Cited by 53 publications

References 19 publications

Relationship between microstate number and available entransy

Relationship between microstate number and available entransy

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

Thermodynamic Analysis and Optimization Design of Heat Exchanger

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