An inverse optimisation for heat exchangers with entransy dissipation minimisation

ABSTRACT A class of finite-time heat transfer processes (HTPs) for entransy dissipation minimisation is studied in this paper. Based on optimal control theory, the optimality condition is derived firstly, and then the general characteristics of heat transfer laws (HTLs) for three special temperature distributions including uniform temperature difference field, constant heat transfer rate per unit area, and constant entransy dissipation rate operations are obtained based on the optimality condition. The results show that the condition that the difference of temperature for the minimum entransy dissipation of heat transfer process (EDOHTP) is a constant is not only valid for Newtonian HTL, but also valid for generalised convective HTL and complex HTL .

[1]  Lingen Chen,et al.  Constructal Optimizations for Heat and Mass Transfers Based on the Entransy Dissipation Extremum Principle, Performed at the Naval University of Engineering: A Review , 2018, Entropy.

[2]  M. Kostic.  Entransy concept and controversies: A critical perspective within elusive thermal landscape , 2017 .

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

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

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

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

[7]  Karl Heinz Hoffmann,et al.  FINITE-TIME THERMODYNAMICS TOOLS TO ANALYZE DISSIPATIVE PROCESSES , 2014 .

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

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

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

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

[12]  XinGang Liang,et al.  Analyses of entransy dissipation, entropy generation and entransy–dissipation-based thermal resistance on heat exchanger optimization , 2012 .

[13]  Jiangfeng Guo,et al.  The entransy dissipation minimization principle under given heat duty and heat transfer area conditions , 2011 .

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

[15]  Lingen Chen,et al.  Entransy dissipation minimization for a class of one-way isothermal mass transfer processes , 2011 .

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

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

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

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

[20]  Bingjiang Zhang,et al.  An equation of entransy transfer and its application , 2009 .

[21]  Mingtian Xu,et al.  Entransy dissipation number and its application to heat exchanger performance evaluation , 2009 .

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

[23]  Fengrui Sun,et al.  Constructal entransy dissipation minimization of an electromagnet , 2009 .

[24]  Stanislaw Sieniutycz,et al.  Energy Optimization in Process Systems , 2009 .

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

[26]  Fengrui Sun,et al.  Optimal paths for minimizing lost available work during heat transfer processes with a generalized heat transfer law , 2009 .

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

[28]  Qi Guo,et al.  Design of a novel optically stimulated luminescent dosimeter using alkaline earth sulfides doped with SrS:Eu,Sm materials , 2008 .

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

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

[31]  Firuz Balkan,et al.  Application of EoEP principle with variable heat transfer coefficient in minimizing entropy production in heat exchangers , 2005 .

[32]  XinGang Liang,et al.  Field synergy optimization and enhanced heat transfer by multi-longitudinal vortexes flow in tube , 2005 .

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

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

[35]  A. Tsirlin,et al.  A minimal dissipation type-based classification in irreversible thermodynamics and microeconomics , 2003 .

[36]  F. Balkan.  Comparison of entropy minimization principles in heat exchange and a short‐cut principle: EoTD , 2003 .

[37]  A. Tsirlin,et al.  An Inverse Optimal Control Problem for a Class of Controlled Systems , 2002 .

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

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

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

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

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

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

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

[45]  V. Orlov.  Optimal irreversible Carnot cycle, containing three isotherms , 1985 .

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

[47]  Stanislaw Sieniutycz,et al.  Energy Optimization in Process Systems and Fuel Cells Ed. 2 , 2013 .

[48]  Guo Zeng,et al.  NEW PHYSICAL QUANTITIES IN HEAT , 2008 .

[49]  Meng Ji,et al.  Demonstration of uniformity principle of temperature difference field for one-dimensional heat exchangers , 2008 .

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

[51]  Peter Salamon,et al.  Thermodynamic optimization of finite time processes , 2001 .

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

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

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