树状脉管圆盘热沉的传热分析与构形设计
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摘要
基于树状脉管通道热沉的三维模型,在给定脉管通道总体积和热沉上表面面积的约束条件下,计算了一至四级树状脉管通道热沉在不同质量流率和热流密度情况下的最大温差和基于■耗散的当量热阻,并研究了热沉厚度对最大温差和当量热阻的影响。结果表明:当热流密度为定值时,最大温差和当量热阻均随质量流率的增大而减小。当质量流率为定值时,热流密度增大,最大温差呈线性增大,当量热阻呈指数增大。随着热沉厚度的减小,当量热阻也减小,最大温差几乎不变。"辐射+树状"复合脉管通道的构形设计能进一步降低最大温差和当量热阻。
Based on three-dimensional tree-like vascular channel heat sink model,the maximum temperature differences and the equivalent thermal resistances based on entransy dissipation of the first to fourth tree-like vascular channel heat sinks at different mass flow rates and heat fluxes are calculated under the constraints of fixed total volume of vascular channels and area of the upper surface of heat sink.The effects of heat sink thickness on the maximum temperature difference and the equivalent thermal resistance are also studied.The results show that the maximum temperature difference and the equivalent thermal resistance decrease with the increase of the mass flow rate when the heat flux is fixed.When the mass flow rate is fixed,the maximum temperature difference increases linearly and the equivalent thermal resistance increases exponentially with the increase of the heat flux.With the decrease of the heat sink thickness,the equivalent thermal resistance decreases but the maximum temperature difference is almost unchanged.The constructal design of"radiation +tree-like"hybrid vascular channels can further deduce the maximum temperature difference and the equivalent thermal resistance.
Based on three-dimensional tree-like vascular channel heat sink model,the maximum temperature differences and the equivalent thermal resistances based on entransy dissipation of the first to fourth tree-like vascular channel heat sinks at different mass flow rates and heat fluxes are calculated under the constraints of fixed total volume of vascular channels and area of the upper surface of heat sink.The effects of heat sink thickness on the maximum temperature difference and the equivalent thermal resistance are also studied.The results show that the maximum temperature difference and the equivalent thermal resistance decrease with the increase of the mass flow rate when the heat flux is fixed.When the mass flow rate is fixed,the maximum temperature difference increases linearly and the equivalent thermal resistance increases exponentially with the increase of the heat flux.With the decrease of the heat sink thickness,the equivalent thermal resistance decreases but the maximum temperature difference is almost unchanged.The constructal design of"radiation +tree-like"hybrid vascular channels can further deduce the maximum temperature difference and the equivalent thermal resistance.
引文
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[26]石瀚楠,谢志辉,孙丰瑞,等.树状脉管通道圆盘热沉的冷却性能分析与构形设计[C]//高等学校工程热物理第二十四届全国学术会议,河北唐山,2018,No.B-2018044SHI Hannan,XIE Zhihui,SUN Fengrui,et al.Cooling Performance Analysis and Constructal Design of Tree-like Vascular Channel Disc Heat Sink[C]//Proceeding of Chinese Society of Engineering Thermophysics in Colleges and Universities,Tangshan:Hebei,2018,Paper No.B-2018044,
[2]Bejan A.Constructal-theory Network of Conducting Paths for Cooling a Heat Generating Volume[J].International Journal of Heat and Mass Transfer,1997,40(4):799-816
[3]CHEN Lingen.Progress in Study on Constructal Theory and Its Applications[J].Science China:Technological Sciences,2012,55(3):802-820
[4]陈林根,冯辉君.流动和传热传质过程的多目标构形优化[M].北京:科学出版社,2016CHEN Lingen,FENF Huijun.Multi-objective Constructal Optimizations for Fluid Flow,Heat and Mass Transfer Processes[M].Beijing:Science Press,2016
[5]CHEN Lingen,XIAO Qinghua,FENF Huijun.Constructal Optimizations for Heat and Mass Transfers Based on the Entransy Dissipation Extremum Principle,Performed at the Naval University of Engineering;a Review[J].Entropy,2018,20(1):74-88
[6]CHEN Lingen,FENG Huijun,XIE Zhihui,et al.Progress of Constructal Theory in China over the Past Decade[J].International Journal of Heat and Mass Transfer,2019,130:393-419
[7]XIA Guodong,JIA Yuting,LI Yifang,et al.Numerical Simulation and Multiobjective Optimization of a MicroChannel Heat Sink with Arc-shaped Grooves and Ribs[J].Numerical Heat Transfer,Part A:Applications,2016,70(9):1041-1055
[8]Mardani M,Salimpour M R.Optimization of Triangular Microchannel Heat Sinks Using Constructal Theory[J].Journal of Mechanical Science and Technology,2016,30(10):4757-4764
[9]SHEN Han,JIN Xin,ZHANG Fengli,et al.Computational Optimization of Counter-flow Double-layered Microchannel Heat Sinks Subjected to Thermal Resistance and Pumping Power[J].Applied Thermal Engineering,2017,121:180-189
[10]Tran N,Chang Y J,Teng J T,et al.A Study on Five Different Channel Shapes Using a Novel Scheme for Meshing and a Structure of a Multi-nozzle Microchannel Heat Sink[J].International Journal of Heat and Mass Transfer,2017,105:429-442
[11]WEI Shuhuan,CHEN Lingen,SUN Fengrui.Constructal Optimization of Discrete and Continuous Variable Crosssection Conducting Path Based on Entransy Dissipation Rate Minimization[J].Science China:Technological Sciences,2010,53(6):1666-1677
[12]Gonzales G V,dos Santos E D,Isoldi L A,et al.Constructal Design of Double-T Shaped Cavity with Stochastic Methods Luus-Jaakola and Simulated Annealing[J].Defect Diffusion Forum,2017,370:152-161
[13]Biserni C,Dalpiaz F L,Fagundes T M,et al.Constructal Design of T-shaped Morphing Fins Coupled with a Trapezoidal Basement:A Numerical Investigation by Means of Exhaustive Search and Genetic Algorithm[J].International Journal of Heat and Mass Transfer,2017,109:73-81
[14]Yenigun O,Cetkin E.Constructal Tree-shaped Designs for Self-cooling[J].International Journal of Heat and Technology,2016,34(Special Issue 1):S1T3-S178
[15]LIU Huanling,AN Xiaokang,WANG Congsi.Heat Transfer Performance of T-Y Type Micro-channel Heat Sink with Liquid GaInSn Coolant[J].International Journal of Thermal Science,2017,120:203-219
[16]GUO Zengyuan,ZHU Hongye,LIANG Xingang.Entransy-A Physical Quantity Describing Heat Transfer Ability[J].International Journal of Heat and Mass Transfer,2007,50(13/14):2545-2556
[17]CHEN Lingen.Progress in Entransy Theory and Its Applications[J].Chinese Science Bulletin,2012,57(34):4404-4426
[18]CHEN Qun,LIANG Xingang,GUO Zengyuan.Entransy Theory for the Optimization of Heat Transfer-A Review and Update[J].International Journal of Heat and Mass Transfer,2013,63:65-81
[19]Kostic M M.Entransy Concept and Controversies:A Critical Perspective within Elusive Thermal Landscape[J].International Journal of Heat and Mass Transfer,2017,115:340-346
[20]WEI Shuhuan,CHEN Lingen,XIE Zhihui.Constructal Heat Conduction Optimization:Progresses with Entransy Dissipation Rate Minimization[J].Thermal Science and Engineering Progress,2018,155-163
[21]梁新刚,陈群,过增元.传热(?)理论及其应用[M].北京:科学出版社,2019LIANG Xingang,CHEN Qun,GUO Zengyuan.Entransy Theory for Heat Transfer Analyses and Optimizations[M].Beijing:Science Press,2019
[22]WEI Shuhuan,CHEN Lingen,SUN Fengrui.“Volumepoint”Heat Conduction Constructal Optimization with Entransy Dissipation Minimization Objective Based on Rectangular Element[J].Science in China Series E:Technological Sciences,2008,51(8):1283-1295
[23]XIE Zhihui,CHEN Lingen,SUN Fengrui.Constructal Optimization on T-shaped Cavity Based on Entransy Dissipation Minimization[J].Chinese Science Bulletin,2009,54(23):4418-4427
[24]冯辉君,陈林根,谢志辉,等.基于(?)耗散率最小的“盘点”冷却流道构形优化[J].物理学报,2013,62(13):134703FENG Huijun,CHEN Lingen,XIE Zhihui,et al.Constructal Entransy Dissipation Rate Minimizations of“Disc-point”Cooling Channels[J].Acta Physica Sinica,2013,62(13):134703
[25]Wechsatol W,Lorente S,Bejan A.Optimal Tree-shaped Networks for Fluid Flow in a Disc-shaped Body[J].International Journal of Heat and Mass Transfer,2002,45:4911-4924
[26]石瀚楠,谢志辉,孙丰瑞,等.树状脉管通道圆盘热沉的冷却性能分析与构形设计[C]//高等学校工程热物理第二十四届全国学术会议,河北唐山,2018,No.B-2018044SHI Hannan,XIE Zhihui,SUN Fengrui,et al.Cooling Performance Analysis and Constructal Design of Tree-like Vascular Channel Disc Heat Sink[C]//Proceeding of Chinese Society of Engineering Thermophysics in Colleges and Universities,Tangshan:Hebei,2018,Paper No.B-2018044,
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