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

Constructal entransy dissipation rate and flow-resistance minimizations for cooling channels
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DOI:
10.1007/s11431-010-4067-4
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发表时间:
2010-08
期刊:
Science China Technological Sciences
影响因子:
--
通讯作者:
Q. Xiao;Lingen Chen;F. Sun
Q. Xiao;Lingen Chen;F. Sun
中科院分区:
其他
文献类型:
--
作者:
Q. Xiao;Lingen Chen;F. Sun

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基于结构理论,通过最小化能积耗散率和流动阻力,优化了在每个点产生热量并由恒定或锥形通道中的冷却剂冷却的体积的结构。分别得到了无量纲平均热阻最小化矩形单元和无量纲整体流阻最小化一、二、三阶组件的优化结构。结果表明,基于EDR和MTD最小化的矩形单元的平均温差和极限温差几乎相等。通过对两种优化方法的传热性能比较,发现当组合体阶数较高时,前一种优化方法的无因次整体流动阻力下降幅度较大。联合收割机将能积耗散极值原理与对流换热相结合,可为结构优化创造巨大的优势。
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-, second- and third- order 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.