Analyses of entransy dissipation, entropy generation and entransy–dissipation-based thermal resistance on heat exchanger optimization

Abstract Heat exchangers are widely used in industries and daily life. The optimization design of heat exchangers is of great significance to the consumption reduction of energy. This paper analyzes and discusses two-/three-stream heat exchangers based on the concepts of the entransy dissipation, the entropy generation and the entransy–dissipation-based thermal resistance of multi-stream heat exchangers. It is found that the minimum thermal resistance based on entransy dissipation always corresponds to the best performance of heat exchangers, while the minimum entropy generation and the extreme entransy dissipation do not always correspond to the best performance of heat exchangers. The relationship between the thermal resistance and uniformity factor of temperature difference field, the relationship between the thermal resistance and the effectiveness of heat exchangers are derived for the two-stream heat exchangers. The results indicate that the uniformity factor of temperature difference field and the effectiveness of heat exchangers would both increase with the decrease of the thermal resistance. In addition, it is found that a larger uniformity factor always leads to a higher effectiveness of heat exchangers. The physical meaning of the phenomenological principle of the uniformity of temperature difference field is discussed for the two-stream heat exchangers, and the uniformity principle of temperature difference field is proved directly.

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

[2]  Mingtian Xu,et al.  Entransy dissipation minimization for optimization of heat exchanger design , 2011 .

[3]  XueTao Cheng,et al.  Radiative entransy flux in enclosures with non-isothermal or non-grey, opaque, diffuse surfaces and its application , 2011 .

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

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

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

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

[8]  XueTao Cheng,et al.  Entransy flux of thermal radiation and its application to enclosures with opaque surfaces , 2011 .

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

[10]  XueTao Cheng,et al.  Entransy decrease principle of heat transfer in an isolated system , 2011 .

[11]  Xiaodong Qian,et al.  Analysis of entransy dissipation in heat exchangers , 2011 .

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

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

[14]  Qun Chen,et al.  Generalized thermal resistance for convective heat transfer and its relation to entransy dissipation , 2008 .

[15]  Chengyun Xin.  POTENTIAL CAPACITY DISSIPATION EXTREMUM AND ENTROPY GENERATION MINIMIZATION IN LAMINAR CONVECTIVE HEAT TRANSFER , 2006 .

[16]  E. Ben-Naim,et al.  Minimum Entransy Dissipation Principle for Optimization of Transport Networks , 2010 .

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

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

[19]  Mingtian Xu,et al.  The influence of viscous heating on the entransy in two-fluid heat exchangers , 2011 .

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

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

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

[23]  Adrian Bejan,et al.  Second-Law Analysis in Heat Transfer and Thermal Design , 1982 .

[24]  XueTao Cheng,et al.  Homogenization of temperature field and temperature gradient field , 2009 .

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

[26]  Fengrui Sun,et al.  Constructal optimization for geometry of cavity by taking entransy dissipation minimization as objective , 2009 .

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

[28]  Liang Xin-Gang,et al.  Microscopic expression of entransy , 2011 .

[29]  Ramesh K. Shah,et al.  Entropy generation extrema and their relationship with heat exchanger effectiveness: Number of transfer unit behavior for complex flow arrangements , 2004 .

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