Constructal entransy dissipation rate and flow-resistance minimizations for cooling channels  

作　　者：XIAO QingHua,CHEN LinGen & SUN FengRui Postgraduate School,Naval University of Engineering,Wuhan 430033,China 

出　　处：《Science China(Technological Sciences)》2010年第9期2458-2468,共11页中国科学（技术科学英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 10905093);the Program for New Century Excellent Talents in University of China (Grant No. NCET-04-1006);the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No. 200136)

摘　　要：Based on constructal theory,a construct of a volume that generates heat at every point and is cooled by the coolant in the constant or tapered channel is optimized by minimizing entransy dissipation rate and flow resistance.The optimal constructs of the rectangular elements with dimensionless mean thermal resistance minimization as well as the first-,secondand thirdorder assemblies with dimensionless global flow resistance minimizations are obtained respectively.The results show that both the mean temperature difference and the limiting temperature difference of rectangular elements based on EDR (entransy dissipation rate) and MTD (maximum temperature difference) minimizations respectively are almost equal.Comparing heat transfer performances from the two optimization procedures,the dimensionless global flow resistance is decreased more for the former procedure when the assembly’s order is high.It may create great superiority for constructal optimization to combine the entransy dissipation extreme principle with heat convection.Based on constructal theory,a construct of a volume that generates heat at every point and is cooled by the coolant in the constant or tapered channel is optimized by minimizing entransy dissipation rate and flow resistance.The optimal constructs of the rectangular elements with dimensionless mean thermal resistance minimization as well as the first-,secondand thirdorder assemblies with dimensionless global flow resistance minimizations are obtained respectively.The results show that both the mean temperature difference and the limiting temperature difference of rectangular elements based on EDR (entransy dissipation rate) and MTD (maximum temperature difference) minimizations respectively are almost equal.Comparing heat transfer performances from the two optimization procedures,the dimensionless global flow resistance is decreased more for the former procedure when the assembly’s order is high.It may create great superiority for constructal optimization to combine the entransy dissipation extreme principle with heat convection.

关 键 词：CONSTRUCTAL theory entransy DISSIPATION rate HEAT RESISTANCE flow RESISTANCE HEAT CONVECTION generalized thermody- namic optimization 

分 类 号：TB61[一般工业技术—制冷工程]