Entransy dissipation minimization for generalized heat exchange processes

This paper investigates the MED (Minimum Entransy Dissipation) optimization of heat transfer processes with the generalized heat transfer law q ∝ (Δ(Tn))m. For the fixed amount of heat transfer, the optimal temperature paths for the MED are obtained. The results show that the strategy of the MED with generalized convective law q ∝ (ΔT)m is that the temperature difference keeps constant, which is in accordance with the famous temperature-difference-field uniformity principle, while the strategy of the MED with linear phenomenological law q ∝ Δ(T−1) is that the temperature ratio keeps constant. For special cases with Dulong-Petit law q ∝ (ΔT)1.25 and an imaginary complex law q ∝ (Δ(T4))1.25, numerical examples are provided and further compared with the strategies of the MEG (Minimum Entropy Generation), CHF (Constant Heat Flux) and CRT (Constant Reservoir Temperature) operations. Besides, influences of the change of the heat transfer amount on the optimization results with various heat resistance models are discussed in detail.

[1]  Z. Bing,et al.  A comparison of different entransy flow definitions and entropy generation in thermal radiation optimization , 2013 .

[2]  Fengrui Sun,et al.  Optimal paths for minimizing entransy dissipation during heat transfer processes with generalized radiative heat transfer law , 2010 .

[3]  Fengrui Sun,et al.  Constructal entransy dissipation rate minimization of a disc , 2011 .

[4]  A. Bejan.  Entropy generation minimization: The new thermodynamics of finite-size devices and finite-time processes , 1996 .

[5]  Fengrui Sun,et al.  Performance optimisation for endoreversible Carnot refrigerator with complex heat transfer law , 2008 .

[6]  Bjarne Andresen,et al.  Optimal heating and cooling strategies for heat exchanger design , 1992 .

[7]  Signe Kjelstrup,et al.  Equipartition of forces as a lower bound on the entropy production in heat exchange , 2001 .

[8]  Fengrui Sun,et al.  Optimization for entransy dissipation minimization in heat exchanger , 2009 .

[9]  Xinguang Cheng,et al.  Least dissipation principle of heat transport potential capacity and its application in heat conduction optimization , 2003 .

[10]  Fathollah Pourfayaz,et al.  Thermodynamic analysis and multi objective optimization of performance of solar dish Stirling engine by the centrality of entransy and entropy generation , 2014 .

[11]  Wen-Quan Tao,et al.  Effectiveness–thermal resistance method for heat exchanger design and analysis , 2010 .

[12]  Entransy, Entransy Dissipation and Entransy Loss for Analyses of Heat Transfer and Heat-Work Conversion Processes , 2013 .

[13]  Hirohisa Sakurai,et al.  Realization of the Gallium Triple Point at NMIJ/AIST , 2008 .

[14]  A. Bejan.  Advanced Engineering Thermodynamics , 1988 .

[15]  F. Sun,et al.  Cooling load and co-efficient of performance optimizations for a generalized irreversible Carnot refrigerator with heat transfer law q ∞ (ΔT n ) m , 2008 .

[16]  Liu Xiong-Bin,et al.  A novel method for heat exchanger analysis , 2009 .

[17]  Viorel Badescu,et al.  Optimal strategies for steady state heat exchanger operation , 2004 .

[18]  Colm O'Sullivan,et al.  Newton’s law of cooling—A critical assessment , 1990 .

[19]  Ya-Ling He,et al.  Optimization for a Thermochemical Energy Storage-reactor based on Entransy Dissipation Minimization , 2015 .

[20]  Jun Li,et al.  Heating load vs. COP characteristic of an endoreversible Carnot heat-pump subjected to the heat-transfer law q ∝ (ΔTn)m , 2008 .

[21]  F. Curzon,et al.  Efficiency of a Carnot engine at maximum power output , 1975 .

[22]  Zhou Bing,et al.  Power output analyses and optimizations of the Stirling cycle , 2013 .

[23]  Fengrui Sun,et al.  Constructal optimization on T-shaped cavity based on entransy dissipation minimization , 2009 .

[24]  Li Zhixin,et al.  Principle of uniformity of temperature difference field in heat exchanger , 1996 .

[25]  Qun Chen,et al.  Entransy dissipation-based constraint for optimization of heat exchanger networks in thermal systems , 2015 .

[26]  Wei Liu,et al.  Convective heat transfer optimization based on minimum entransy dissipation in the circular tube , 2014 .

[27]  XinGang Liang,et al.  Entransy theory for the optimization of heat transfer – A review and update , 2013 .

[28]  Bjarne Andresen,et al.  Thermodynamics for Processes in Finite Time , 1984 .

[29]  J. E. Hesselgreaves.  Rationalisation of second law analysis of heat exchangers , 2000 .

[30]  B. Andresen.  Current trends in finite-time thermodynamics. , 2011, Angewandte Chemie.

[31]  Ning Pan,et al.  Optimization principles for convective heat transfer , 2009 .

[32]  Fengrui Sun,et al.  Thermodynamic analyses and optimization for thermoelectric devices: The state of the arts , 2016 .

[33]  Yang Lijun,et al.  Distribution optimization of circulating water in air-cooled heat exchangers for a typical indirect dry cooling system on the basis of entransy dissipation , 2015 .

[34]  XinGang Liang,et al.  Application of entransy dissipation extremum principle in radiative heat transfer optimization , 2008 .

[35]  Fengrui Sun,et al.  Power versus efficiency characteristic of an endoreversible Carnot heat engine with heat transfer law q α (Δ Tn)m , 2008 .

[36]  Lingen Chen,et al.  Progress in Finite Time Thermodynamic Studies for Internal Combustion Engine Cycles , 2016, Entropy.

[37]  Andreas Fischer,et al.  Optimal Process Paths for Endoreversible Systems , 2003 .

[39]  Emin Açıkkalp,et al.  Entransy analysis of irreversible Carnot-like heat engine and refrigeration cycles and the relationships among various thermodynamic parameters , 2014 .

[40]  Xinguang Cheng,et al.  A novel method to improve the performance of heat exchanger—Temperature fields coordination of fluids , 2004 .

[41]  XinGang Liang,et al.  Entransy—A physical quantity describing heat transfer ability , 2007 .

[42]  Lingen Chen,et al.  Finite Time Thermodynamic Optimization or Entropy Generation Minimization of Energy Systems , 1999 .

[43]  Xiao-Dong Lin,et al.  Modulation response performances of a Fabry-Perot semiconductor laser subjected to light injection from another Fabry-Perot semiconductor laser , 2009 .

[44]  Fengrui Sun,et al.  Optimal configuration for a finite high-temperature source heat engine cycle with the complex heat transfer law , 2009 .

[45]  XueTao Cheng,et al.  Entransy analyses of thermal processes with variable thermophysical properties , 2015 .

[46]  Xin-gang Liang,et al.  Entransy: its physical basis, applications and limitations , 2014 .

[47]  Ning Pan,et al.  A new approach to analysis and optimization of evaporative cooling system I: Theory , 2010 .

[48]  Xin-gang Liang,et al.  Application of Entransy Optimization to One-Stream Series-Wound and Parallel Heat Exchanger Networks , 2014 .

[49]  XueTao Cheng,et al.  T-Q̇ diagram analyses and entransy optimization of the organic flash cycle (OFC) , 2015 .

[50]  Bjarne Andresen,et al.  Optimal paths for minimizing entropy generation in a common class of finite-time heating and cooling processes , 1992 .

[51]  Emin Açıkkalp,et al.  Entransy analysis of irreversible heat pump using Newton and Dulong–Petit heat transfer laws and relations with its performance , 2014 .

[52]  Fengrui Sun,et al.  Constructal entransy dissipation rate minimization for helm-shaped fin with inner heat sources , 2015 .

[53]  Lingen Chen,et al.  Progress in entransy theory and its applications , 2012 .

[54]  Qun Chen,et al.  Entransy Theory for the Analysis and Optimization of Thermal Systems , 2014 .

[55]  Fengrui Sun,et al.  Finite Time Thermodynamic Studies on Absorption Thermodynamic Cycles: A State-of-the-Art Review , 2013 .

[56]  Lingen Chen,et al.  Progress in optimization of mass transfer processes based on mass entransy dissipation extremum principle , 2014 .

[57]  Fengrui Sun,et al.  Entransy dissipation minimization for liquid-solid phase change processes , 2010 .

[58]  Sergio Sibilio,et al.  Recent Advances in Finite-Time Thermodynamics , 1999 .

[59]  R. Kosloff,et al.  The multilevel four-stroke swap engine and its environment , 2014, 1404.6182.

[60]  K. Kim,et al.  Comparative analyses of energy–exergy–entransy for the optimization of heat-work conversion in power generation systems , 2015 .

[61]  Zeng-Yuan Guo,et al.  Entropy generation extremum and entransy dissipation extremum for heat exchanger optimization , 2009 .

[62]  Fengrui Sun,et al.  Constructal entransy dissipation minimization for 'volume-point' heat conduction , 2008 .

[63]  Lingen Chen,et al.  Progress in study on finite time thermodynamic performance optimization for three kinds of microscopic energy conversion systems , 2015 .

[64]  Fengrui Sun,et al.  Optimal paths for minimizing entropy generation during heat transfer processes with a generalized heat transfer law , 2009 .

[65]  A. Bejan,et al.  Entropy Generation Through Heat and Fluid Flow , 1983 .

[66]  Mingtian Xu,et al.  Principle of equipartition of entransy dissipation for heat exchanger design , 2010 .

[67]  Lingen Chen,et al.  Fundamental optimal relation of a generalized irreversible Carnot heat pump with complex heat transfer law , 2010 .

[68]  Jun Li,et al.  Generalized irreversible heat-engine experiencing a complex heat-transfer law , 2008 .

[69]  Signe Kjelstrup,et al.  Minimizing the entropy production in heat exchange , 2002 .

[70]  S. Sieniutycz,et al.  Thermodynamic Optimization of Finite-Time Processes , 2000 .

[71]  Zhixin Li,et al.  Theoretical analysis and experimental confirmation of the uniformity principle of temperature difference field in heat exchanger , 2002 .

[72]  Z. M. Xu,et al.  A modified entropy generation number for heat exchangers , 1996 .

[73]  Extreme performance of heat exchangers of various hydrodynamic models of flows , 2002 .

[74]  Viorel Badescu,et al.  Optimal paths for minimizing lost available work during usual finite-time heat transfer processes , 2004 .