Entropy generation analysis as a design tool - A review

There is an acknowledged growing need for efficient and sustainable systems that use available energy resources in an “optimal” (including constraints) way. Such a goal cannot be effectively achieved without taking into account the limits posed by the second law of thermodynamics. A possible approach consists in the so-called entropy generation analysis, which possesses key features making it more attractive than traditional energy balance approaches. In fact, entropy generation analysis allows for a direct identification of the causes of inefficiency and opens up the possibility for designers to conceive globally more effective systems. Furthermore, thanks to its direct derivation from basic thermodynamic principles, entropy generation analysis can be in principle used for any type of energy conversion system. These attractive features have made entropy generation analysis a popular thermodynamic method for the design and the optimization of less unsustainable systems.

[1]  A. Datta Effects of gravity on structure and entropy generation of confined laminar diffusion flames , 2005 .

[2]  Ahmet Selamet,et al.  Entropy production in flames , 1988 .

[3]  C. F. Curtiss,et al.  Molecular Theory Of Gases And Liquids , 1954 .

[4]  Chin-Hsiang Cheng,et al.  Numerical predictions of entropy generations for mixed convective flows in a vertical channel with transverse fin array , 1994 .

[5]  Dimitrios C. Kyritsis,et al.  Comparative second-law analysis of internal combustion engine operation for methane, methanol, and dodecane fuels , 2001 .

[6]  Adrian Bejan,et al.  Two design aspects of defrosting refrigerators , 1995 .

[7]  DUSáAN P. SEKULICá Entropy Generation in a Heat Exchanger , 1986 .

[8]  R. Krane,et al.  A Second Law analysis of the optimum design and operation of thermal energy storage systems , 1987 .

[9]  Chunxin Yang,et al.  A distributed parameter model and its application in optimizing the plate-fin heat exchanger based on the minimum entropy generation , 2010 .

[10]  S. K. Ratkje,et al.  Criteria for local equilibrium in a system with transport of heat and mass , 1995 .

[11]  Numerical calculation of the local rate of entropy generation in the flow around a heated finned-tube , 1993 .

[12]  Andrés Agudelo,et al.  Thermal radiation and the second law , 2010 .

[13]  Sergio Cuevas,et al.  Optimization analysis of an alternate magnetohydrodynamic generator , 2002 .

[14]  Jean-Pierre Bédécarrats,et al.  Numerical Second Law Analysis of a Refrigeration Phase-Change Storage * , 1999 .

[15]  A. Bejan The Concept of Irreversibility in Heat Exchanger Design: Counterflow Heat Exchangers for Gas-to-Gas Applications , 1977 .

[16]  A. Bejan Entropy Generation Minimization , 2016 .

[17]  A. Bejan A Study of Entropy Generation in Fundamental Convective Heat Transfer , 1979 .

[18]  A. Bejan,et al.  Fin Geometry for Minimum Entropy Generation in Forced Convection , 1982 .

[19]  M. S. Avval,et al.  A numerical evaluation of combustion in porous media by EGM (Entropy Generation Minimization) , 2010 .

[20]  L. C. Woods,et al.  The thermodynamics of fluid systems , by L. C. Woods. Pp 359. £12·50. 1985. ISBN 0-19-856180-6 (Oxford University Press) , 1987, The Mathematical Gazette.

[21]  Sunil Sarangi,et al.  Second law based optimisation of crossflow plate-fin heat exchanger design using genetic algorithm , 2009 .

[22]  A. Faghri,et al.  Local entropy generation analysis on passive high-concentration DMFCs (direct methanol fuel cell) wi , 2011 .

[23]  S. Wisniewski,et al.  Thermodynamics of Nonequilibrium Processes , 1976 .

[24]  Hakan F. Oztop,et al.  A review on entropy generation in natural and mixed convection heat transfer for energy systems , 2012 .

[25]  Kousuke Nishida,et al.  Analysis of entropy generation and exergy loss during combustion , 2002 .

[26]  K. Ting,et al.  Entropy generation and optimal analysis for laminar forced convection in curved rectangular ducts : A numerical study , 2006 .

[27]  U. Narusawa,et al.  The second-law analysis of mixed convection in rectangular ducts , 2001 .

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

[29]  A. S. Mujumdar,et al.  Exergetic analysis of energy storage using multiple phase-change materials , 1996 .

[30]  A. Bejan,et al.  The constructal law and the evolution of design in nature. , 2011, Physics of life reviews.

[31]  Syed M. Zubair,et al.  Application of exergy analysis to various psychrometric processes , 2003 .

[32]  Aydın Durmuş,et al.  Effect of propeller type swirl generators on the entropy generation and efficiency of heat exchangers , 2007 .

[34]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[35]  S. Kjelstrup,et al.  Local and total entropy production and heat and water fluxes in a one-dimensional polymer electrolyte fuel cell. , 2005, The journal of physical chemistry. B.

[36]  R. Tolman,et al.  On the irreversible production of entropy , 1948 .

[37]  Francis Agyenim,et al.  A review of materials, heat transfer and phase change problem formulation for latent heat thermal energy storage systems (LHTESS) , 2010 .

[38]  Enrico Sciubba Entropy Generation Minimization as a Design Tool. Part 1: Analysis of Different Configurations of Branched and Non-branched Laminar Isothermal Flow Through a Circular Pipe , 2011 .

[39]  Roman Domański,et al.  Exergy analysis for the evaluation of a thermal storage system employing PCMS with different melting temperatures , 1996 .

[40]  Duu-Jong Lee,et al.  Second-law analysis on a flat plate-fin array under crossflow , 2000 .

[41]  Enrico Sciubba,et al.  Minimization of the Local Rates of Entropy Production in the Design of Air-Cooled Gas Turbine Blades , 1999 .

[42]  P. Jiang,et al.  Radiation energy devaluation in diffusion combusting flows of natural gas , 2013 .

[43]  Liwu Liu,et al.  Entropy generation analysis of two-dimensional high-temperature confined jet , 2009 .

[44]  F. Marsík,et al.  Detailed thermodynamic analysis of polymer electrolyte membrane fuel cell efficiency , 2013 .

[45]  Adrian Bejan,et al.  Thermodynamic optimization of tree-shaped flow geometries , 2006 .

[46]  A. Bejan,et al.  Heat transfer handbook , 2003 .

[47]  L. Boltzmann The Second Law of Thermodynamics , 1974 .

[48]  Elisa Guelpa,et al.  Second Law Optimization of a PCM Based Latent Heat Thermal Energy Storage System with Tree Shaped Fins , 2014 .

[49]  F. Elizalde-Blancas,et al.  Multiple concentric spirals for the flow field of a proton exchange membrane fuel cell , 2011 .

[50]  Ahmet Tandiroglu,et al.  Effect of flow geometry parameters on transient entropy generation for turbulent flow in circular tube with baffle inserts , 2007 .

[51]  R. Clausius,et al.  Ueber die bewegende Kraft der Wärme und die Gesetze, welche sich daraus für die Wärmelehre selbst ableiten lassen , 1850 .

[52]  John H. Lienhard,et al.  Entropy generation minimization of combined heat and mass transfer devices , 2010 .

[53]  Ibrahim Dincer,et al.  An approach to entropy analysis of a latent heat storage module , 2008 .

[54]  I. Pop,et al.  Analysis of first and second laws of thermodynamics between two isothermal cylinders with relative rotation in the presence of MHD flow , 2012 .

[55]  Pei-Xue Jiang,et al.  Entropy generation in a solar collector filled with a radiative participating gas , 2013 .

[56]  Ilya Prigogine,et al.  Introduction to Thermodynamics of Irreversible Processes , 1967 .

[57]  H. Ishikawa,et al.  Optimisation of heat exchanger design in a thermoacoustic engine using a second law analysis , 1996 .

[58]  Tarik Kousksou,et al.  Second law analysis of latent thermal storage for solar system , 2007 .

[59]  Enrico Sciubba,et al.  3-D Numerical Calculation of the Local Entropy Generation Rates in a Radial Compressor Stage , 2005 .

[60]  Gian Paolo Beretta,et al.  Thermodynamics: Foundations and Applications , 1991 .

[61]  J. Keenan Availability and irreversibility in thermodynamics , 1951 .

[62]  K. Denbigh,et al.  The Principles of Chemical Equilibrium , 1956 .

[63]  Tarik Kousksou,et al.  Exergy based performance evaluation of latent heat thermal storage system: A review , 2010 .

[64]  Dick Bedeaux,et al.  Minimizing the Entropy Production of the Methanol Producing Reaction in a Methanol Reactor , 2000 .

[65]  Dusan P. Sekulic,et al.  One approach to irreversibility minimization in compact crossflow heat exchanger design , 1986 .

[66]  Adrian Bejan,et al.  Thermodynamic optimization of geometric structure in the counterflow heat exchanger for an environmental control system , 2001 .

[67]  Noam Lior,et al.  The exergy fields in transport processes: Their calculation and use , 2006 .

[68]  S. Kjelstrup,et al.  Minimum entropy production rate in plug flow reactors: An optimal control problem solved for SO2 oxidation , 2004 .

[69]  Exergy maximization in cryogenic regenerators , 1994 .

[70]  Somchai Wongwises,et al.  Entropy generation between two vertical cylinders in the presence of MHD flow subjected to constant wall temperature , 2013 .

[71]  Enrico Sciubba,et al.  A minimum entropy generation procedure for the discrete pseudo-optimization of finned-tube heat exchangers , 1996 .

[72]  Bekir Sami Yilbas,et al.  Second law analysis of a swirling flow in a circular duct with restriction , 1999 .

[73]  C. Sommariva,et al.  A new formulation for the non-equilibrium allowance in MSF processes , 2001 .

[74]  Adriano Sciacovelli,et al.  Entropy Generation Minimization for the Optimal Design of the Fluid Distribution System in a Circular MCFC , 2011 .

[75]  J. H. Van Gerpen,et al.  Second-law analysis of diesel engine combustion , 1990 .

[76]  Liwu Liu,et al.  Second law analysis of coupled conduction–radiation heat transfer with phase change , 2010 .

[77]  S. Cuevas,et al.  Optimum wall conductance ratio in magnetoconvective flow in a long vertical rectangular duct , 2008 .

[78]  Takahiro Furukawa,et al.  Optimal package design of stacks of convection-cooled printed circuit boards using entropy generation minimization method , 2008 .

[79]  Elisa Guelpa,et al.  Entropy generation analysis for the design improvement of a latent heat storage system , 2013 .

[80]  Navid Freidoonimehr,et al.  Parametric analysis and optimization of entropy generation in unsteady MHD flow over a stretching rotating disk using artificial neural network and particle swarm optimization algorithm , 2013 .

[81]  A. Bejan Two Thermodynamic Optima in the Design of Sensible Heat Units for Energy Storage , 1978 .

[82]  D. Bedeaux,et al.  Non-equilibrium Thermodynamics of Heterogeneous Systems , 2008, Series on Advances in Statistical Mechanics.

[83]  Entropy generation analysis for the design optimization of solid oxide fuel cells , 2011 .

[84]  Viriato Semiao,et al.  Entropy generation through radiative transfer in participating media: analysis and numerical computation , 2005 .

[85]  H. Kreuzer Nonequilibrium thermodynamics and its statistical foundations , 1981 .

[86]  M. R. Hajmohammadi,et al.  A new configuration of bend tubes for compound optimization of heat and fluid flow , 2013 .

[87]  Signe Kjelstrup,et al.  Second law optimization of a tubular steam reformer , 2005 .

[88]  G. Gogos,et al.  Gas-phase entropy generation during transient methanol droplet combustion , 2010 .

[89]  T. H. Ko,et al.  Numerical analysis of entropy generation and optimal Reynolds number for developing laminar forced convection in double-sine ducts with various aspect ratios , 2006 .

[90]  David Jou,et al.  Understanding Non-equilibrium Thermodynamics , 2008 .

[91]  George N. Hatsopoulos,et al.  Principles of general thermodynamics , 1965 .

[92]  K. Ashok Kumar,et al.  Second law analysis of a waste heat recovery steam generator , 2002 .

[93]  M. Yovanovich,et al.  Optimization of pin-fin heat sinks using entropy generation minimization , 2001, IEEE Transactions on Components and Packaging Technologies.

[94]  S. Kjelstrup,et al.  Minimizing the Entropy Production Rate of an Exothermic Reactor with a Constant Heat-Transfer Coefficient: The Ammonia Reaction , 2003 .

[95]  Syed M. Zubair,et al.  Second-law-based performance evaluation of cooling towers and evaporative heat exchangers , 2007 .

[96]  Brane Širok,et al.  Improving the efficiency of natural draft cooling towers , 2006 .

[97]  S. X. Chu,et al.  Verification of numerical simulation method for entropy generation of radiation heat transfer in semitransparent medium , 2007 .

[98]  R. Clausius,et al.  Ueber verschiedene für die Anwendung bequeme Formen der Hauptgleichungen der mechanischen Wärmetheorie , 1865 .

[99]  P. Mazur,et al.  Non-equilibrium thermodynamics, , 1963 .

[100]  Kyaw Thu,et al.  A second law analysis and entropy generation minimization of an absorption chiller , 2011 .

[101]  Lei Zhang,et al.  Numerical Investigation of Entropy Generation and Optimization on a Centrifugal Fan , 2011 .

[102]  Ronan K. McGovern,et al.  Entropy Generation Analysis of Desalination Technologies , 2011, Entropy.

[103]  T. Sundararajan,et al.  Entropy generation during the quasi-steady burning of spherical fuel particles , 2007 .

[104]  D. Poulikakos,et al.  Laminar mixing, heat transfer and pressure drop in tree-like microchannel nets and their application for thermal management in polymer electrolyte fuel cells , 2004 .

[105]  Amitava Datta,et al.  Entropy Generation in a Confined Laminar Diffusion Flame , 2000 .

[106]  Amos Zemel,et al.  Thermodynamic analysis of latent heat storage in a shell-and-tube heat exchanger , 1992 .

[107]  Yaşar Demirel,et al.  Linear-nonequilibrium thermodynamics theoryfor coupled heat and mass transport , 2001 .

[108]  M. Planck The Theory of Heat Radiation , 2010 .

[109]  K. Nakonieczny,et al.  Entropy generation in a diesel engine turbocharging system , 2002 .

[110]  Kwee-Yan Teh,et al.  Thermodynamic requirements for maximum internal combustion engine cycle efficiency. Part 1: Optimal combustion strategy , 2008 .

[111]  C.J. Shih,et al.  Optimal design methodology of plate-fin heat sinks for electronic cooling using entropy generation strategy , 2004, IEEE Transactions on Components and Packaging Technologies.

[112]  J. C. Slattery,et al.  Momentum, Energy and Mass Transfer in Continua , 1976 .

[113]  Adriano Sciacovelli,et al.  Entropy generation analysis in a monolithic-type solid oxide fuel cell (SOFC) , 2009 .

[114]  Mohammad Mehdi Rashidi,et al.  Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid , 2013 .

[115]  R. Ogulata,et al.  Irreversibility analysis of cross flow heat exchangers , 2000 .

[116]  Sergio Cuevas,et al.  Entropy generation minimization of a MHD (magnetohydrodynamic) flow in a microchannel , 2010 .

[117]  T. Poinsot,et al.  Theoretical and numerical combustion , 2001 .

[118]  R. V. Rao,et al.  Thermodynamic optimization of cross flow plate-fin heat exchanger using a particle swarm optimization algorithm , 2010 .

[119]  István Gyarmati,et al.  Non-equilibrium Thermodynamics , 1970 .

[120]  Enrico Sciubba,et al.  Application of the EGM Method to a LED-Based Spotlight: A Constrained Pseudo-Optimization Design Process Based on the Analysis of the Local Entropy Generation Maps , 2011, Entropy.

[121]  K. Charrada,et al.  Entropy generation through combined non-grey gas radiation and forced convection between two parallel plates , 2008 .

[122]  Noam Lior,et al.  SECOND-LAW ANALYSIS OF AN IDEAL OTTO CYCLE , 1988 .

[123]  G. Trezek,et al.  Thermal performance models and drift loss predictions for a spray cooling system , 1977 .

[124]  C. G. Carrington,et al.  Second law analysis of combined heat and mass transfer phenomena , 1991 .

[125]  J. Lions Optimal Control of Systems Governed by Partial Differential Equations , 1971 .

[126]  Duu-Jong Lee,et al.  Second-law analysis on a pin-fin array under crossflow , 1997 .

[127]  Mingtian Xu,et al.  Optimization design of shell-and-tube heat exchanger by entropy generation minimization and genetic algorithm , 2009 .

[128]  Enrico Sciubba,et al.  The computation of the entropy generation rate for turbomachinery design applications: Some theoretical remarks and practical examples , 2008 .

[129]  Naser Sahiti,et al.  Entropy generation minimization of a double-pipe pin fin heat exchanger , 2008 .

[130]  Christian Hermes Thermodynamic design of condensers and evaporators: Formulation and applications ☆ , 2012 .

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

[132]  Tuncay Yilmaz,et al.  Second-Law and Experimental Analysis of a Cross-Flow Heat Exchanger , 1999 .

[133]  Enrico Sciubba,et al.  Application of the entropy generation minimization method to a solar heat exchanger: A pseudo-optimization design process based on the analysis of the local entropy generation maps , 2013 .

[134]  Leonid M. Martyushev,et al.  Entropy and Entropy Production: Old Misconceptions and New Breakthroughs , 2013, Entropy.

[135]  O. Pironneau,et al.  Applied Shape Optimization for Fluids , 2001 .

[136]  A. Gallegos-Muñoz,et al.  Entropy Generation Analysis of a Proton Exchange Membrane Fuel Cell (PEMFC) with a Fermat Spiral as a Flow Distributor , 2011 .

[137]  George A. Adebiyi,et al.  A Second-Law Study on Packed Bed Energy Storage Systems Utilizing Phase-Change Materials , 1991 .

[138]  D. Mishra,et al.  Effects of wall thermal conductivity on entropy generation and exergy losses in a H2-air premixed flame microcombustor , 2011 .

[139]  Madhusudan Iyengar,et al.  Least-energy optimization of forced convection plate-fin heat sinks , 2003 .

[140]  Adriano Sciacovelli,et al.  Entropy Generation Minimization in a Tubular Solid Oxide Fuel Cell , 2010 .

[141]  A second law analysis of the concentric tube heat exchanger: optimisation of wall conductivity , 1983 .

[142]  E. C. Richard,et al.  The collected works , 1954 .

[143]  A. Bejan,et al.  Constructal law of design and evolution: Physics, biology, technology, and society , 2013 .

[144]  Sunil Sarangi,et al.  On the generation of entropy in a counterflow heat exchanger , 1982 .

[145]  Wenming Yang,et al.  Entropy generation analysis of H2/air premixed flame in micro-combustors with heat recuperation , 2013 .

[146]  Sadi Carnot,et al.  Reflections on the Motive Power of Heat , 2009 .

[147]  Paisarn Naphon,et al.  Second law analysis on the heat transfer of the horizontal concentric tube heat exchanger , 2006 .

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

[149]  Jing Li,et al.  Analysis of entropy generation in non-premixed hydrogen versus heated air counter-flow combustion , 2010 .