Constructal optimizations for “+” shaped high conductivity channels based on entransy dissipation rate minimization

Abstract Constructal optimizations of the elemental and first order “+” shaped high conductivity channels (HCCs) in the square bodies are carried out based on entransy dissipation rate (EDR) minimization. The optimal shapes of the HCCs and minimum EDRs of the bodies are derived. The results show that there exist optimal geometrical parameters of the first order “+” shaped HCC which lead to triple minimum dimensionless EDR of the body. The optimal shape of the first order “+” shaped HCC derived by EDR minimization makes the global heat conduction performance (GHCP) of the square body improve, and the temperature gradient more homogeneous. The optimal design scheme of the “+” shaped HCC with minimum EDR can be adopted in the heat dissipation problem of the electronic device to improve its GHCP.

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

[2]  Adrian Bejan,et al.  Evolution in thermodynamics , 2017 .

[3]  A. Bejan.  Shape and Structure, from Engineering to Nature , 2000 .

[4]  Simone Moretti,et al.  Fin Shape Thermal Optimization Using Bejan's Constructal Theory , 2011, Fin Shape Thermal Optimization Using Bejan's Constructal Theory.

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

[6]  M. R. Hajmohammadi.  Introducing a ψ-shaped cavity for cooling a heat generating medium , 2017 .

[7]  M. R. Hajmohammadi,et al.  Cylindrical Couette flow and heat transfer properties of nanofluids; single-phase and two-phase analyses , 2017 .

[8]  Fengrui Sun,et al.  Constructal design for a rectangular body with nonuniform heat generation , 2016 .

[9]  Ya-Ling He,et al.  Theoretical study of a high-temperature heat pump system composed of a CO2 transcritical heat pump cycle and a R152a subcritical heat pump cycle , 2017 .

[10]  Paulo Smith Schneider,et al.  Geometrical evaluation of T-shaped high conductive pathway with thermal contact resistance for cooling of heat-generating medium , 2017 .

[11]  Mohammad Reza Salimpour,et al.  Micro- and Nanoscale Conductive Tree-Structures for Cooling a Disk-Shaped Electronic Piece , 2013 .

[12]  Fengrui Sun,et al.  Constructal entransy dissipation rate minimization for “disc-to-point” heat conduction , 2011 .

[13]  Tian Zhao,et al.  An alternative energy flow model for analysis and optimization of heat transfer systems , 2017 .

[14]  Fengrui Sun,et al.  Constructal design for blast furnace wall based on the entransy theory , 2016 .

[15]  XueTao Cheng,et al.  Entransy analyses of the thermodynamic cycle in a turbojet engine , 2017 .

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

[17]  Giuseppe Grazzini,et al.  Thermodynamic optimization of irreversible refrigerators , 2014 .

[18]  Mohamed M. Awad,et al.  Discussion: “Entransy is Now Clear” , 2014 .

[19]  S. C. Kaushik,et al.  Second law thermodynamic study of heat exchangers: A review , 2014 .

[20]  Xin-gang Liang,et al.  Discussion on the extensions of the entransy theory , 2017 .

[21]  Constructal entransy dissipation rate minimization for “volume-point” heat conduction at micro and nanoscales , 2015 .

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

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

[24]  Peng Wang,et al.  Study on the consistency between field synergy principle and entransy dissipation extremum principle , 2018 .

[25]  LinGen Chen,et al.  “Volume-point” heat conduction constructal optimization based on entransy dissipation rate minimization with three-dimensional cylindrical element and rectangular and triangular elements on microscale and nanoscale , 2012 .

[26]  Tian Zhao,et al.  Optimization of the one-dimensional transient heat conduction problems using extended entransy analyses , 2018 .

[28]  Qun Chen,et al.  Optimization strategies of heat transfer systems with consideration of heat transfer and flow resistance , 2017 .

[29]  A. Bejan.  Constructal-theory network of conducting paths for cooling a heat generating volume , 1997 .

[30]  Lingen Chen,et al.  Multi-disciplinary, multi-objective and multi-scale constructal optimizations for heat and mass transfer processes performed in Naval University of Engineering, a review , 2017 .

[31]  A. Bejan.  Constructal Law: Optimization as Design Evolution , 2015 .

[32]  Fengrui Sun,et al.  Constructal optimization for “disc-point” heat conduction at micro and nanoscales , 2013 .

[33]  Fengrui Sun,et al.  The area-point constructal optimization for discrete variable cross-section conducting path , 2009 .

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

[35]  A. Bejan,et al.  Constructal tree networks for heat transfer , 1997 .

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

[37]  M. R. Hajmohammadi,et al.  An integrated system of zinc oxide solar panels, fuel cells, and hydrogen storage for heating and cooling applications , 2017 .

[38]  Lingen Chen,et al.  Improvement of constructal tree-like network for “volume-point” heat conduction with variable cross-section conducting path and without the premise of optimal last-order construct , 2015 .

[39]  M. R. Hajmohammadi,et al.  Optimal design of tree-shaped inverted fins , 2018 .

[40]  Adrian Bejan,et al.  Design with constructal theory , 2008 .

[41]  Fengrui Sun,et al.  Constructal optimization of cylindrical heat sources with forced convection based on entransy dissipation rate minimization , 2016 .

[42]  XueTao Cheng,et al.  Reply to “Entransy unmasked” by Awad , 2014 .

[43]  Enrico Sciubba,et al.  Entransy: A misleading concept for the analysis and optimization of thermal systems , 2015 .

[44]  Fengrui Sun,et al.  Constructal entransy dissipation rate minimization for variable cross-section insulation layer of the steel rolling reheating furnace wall , 2014 .

[45]  M. Hajmohammadi,et al.  Essential reformulations for optimization of highly conductive inserts embedded into a rectangular chip exposed to a uniform heat flux , 2014 .

[46]  Lingen Chen,et al.  Constructal entransy dissipation rate minimization of a rectangular body with nonuniform heat generation , 2016 .

[47]  Fengrui Sun,et al.  Constructal entransy dissipation rate minimization for heat conduction based on a tapered element , 2011 .

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

[49]  Gongnan Xie,et al.  Optimization of Pin-Fins for a Heat Exchanger by Entropy Generation Minimization and Constructal Law , 2015 .

[50]  Chen Lingen.  Progress in study on constructal theory and its applications , 2012 .

[51]  Mohammad Reza Salimpour,et al.  Constructal placement of unequal heat sources on a plate cooled by laminar forced convection , 2012 .

[52]  XinGang Liang,et al.  Closure to “Discussion of ‘Do We Really Need “Entransy”?’” , 2014 .

[53]  Zhihui Xie,et al.  Heat conduction constructal optimization for nonuniform heat generating area based on triangular element , 2018 .

[54]  E. Çetkin.  Constructal Vascular Structures With High-Conductivity Inserts for Self-Cooling , 2015 .

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

[56]  Fengrui Sun,et al.  Constructal entransy dissipation minimization for ‘volume-point’ heat conduction , 2008 .

[57]  Zeng-Yuan Guo,et al.  Reply to “Comment on ‘Application of Entransy Analysis in Self-Heat Recuperation Technology’” , 2014 .

[58]  A. Bejan,et al.  Hierarchy in air travel: Few large and many small , 2017 .

[59]  Adrian Bejan,et al.  "Entransy," and Its Lack of Content in Physics , 2014 .

[60]  Fengrui Sun,et al.  Constructal optimization for “disc-to-point” heat conduction without the premise of optimized last-order construct , 2011 .

[61]  Fengrui Sun,et al.  “Volume-point” heat conduction constructal optimization based on minimization of maximum thermal resistance with triangular element at micro and nanoscales , 2016 .

[62]  Lotfollah Ghodoossi,et al.  Conductive cooling of triangular shaped electronics using constructal theory , 2004 .

[63]  Fengrui Sun,et al.  Constructal entransy dissipation rate minimization for triangular heat trees at micro and nanoscales , 2015 .

[64]  Arun S. Mujumdar,et al.  Transport Phenomena and Properties in Treelike Networks , 2016 .

[65]  Zhihui Xie,et al.  Generalized Thermodynamic Optimization for Iron and Steel Production Processes: Theoretical Exploration and Application Cases , 2016, Entropy.

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

[67]  Marco Baratieri,et al.  Reply and closure to comments on “Introduction of an energy efficiency tool for small scale biomass gasifiers – A thermodynamic approach” by M.M. Awad , 2017 .

[68]  C. Biserni,et al.  Constructal design of X-shaped conductive pathways for cooling a heat-generating body , 2013 .

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

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

[71]  Jiangfeng Guo,et al.  The heat transfer mechanism study of three-tank latent heat storage system based on entransy theory , 2016 .

[72]  U. Lucia.  Stationary open systems: A brief review on contemporary theories on irreversibility , 2013 .

[73]  Adrian Bejan,et al.  Constructal design for cooling a disc-shaped area by conduction , 2002 .

[74]  O. Joneydi Shariatzadeh,et al.  Evolution in the Design of V-Shaped Highly Conductive Pathways Embedded in a Heat-Generating Piece , 2015 .

[75]  Cheng Xue-tao,et al.  Work entransy and its applications , 2015 .

[76]  Fengrui Sun,et al.  Heat-conduction optimization based on constructal theory , 2007 .

[77]  Fengrui Sun,et al.  “Volume-Point” heat conduction constructal optimization with entransy dissipation minimization objective based on rectangular element , 2008 .

[78]  Fengrui Sun,et al.  Constructal design for “+” shaped high conductivity pathways over a square body , 2015 .

[79]  Fengrui Sun,et al.  Generalized constructal optimization of strip laminar cooling process based on entransy theory , 2016 .

[80]  Luiz Fernando Milanez,et al.  Equivalence between the application of entransy and entropy generation , 2014 .

[81]  Naga Sarada Somanchi,et al.  A Review on Enhancement of Heat Transfer Techniques , 2017 .