| 导热优化:热耗散与最优导热系数场 |
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| 引用本文： | 程新广,夏再忠,李志信,过增元.导热优化:热耗散与最优导热系数场[J].工程热物理学报,2002,23(6):715-717. |
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| 作者姓名： | 程新广 夏再忠 李志信 过增元 |
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| 作者单位： | 清华大学工程力学系,传热强化与过程节能教育部重点实验室,北京,100084 |
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| 基金项目： | 国家重大基础研究发展规划资助项目（No.G20000263） |
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| 摘 要： | 本文讨论了通过重新布置场内的导热系数分布来强化热传导的导热优化问题。针对边界上传热量一定的任意几何区域的稳态导热,在全场的导热系数积分为定值的条件下,以最小热耗散作为目标,利用变分方法导出了导热优化的基本准则;导热系数与局部热流密度成正比。该准则指导下的导热优化过程可获得热耗散最小的导热系数分布。实例证明了该方法是有效且合理的。
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| 关 键 词： | 导热优化 导热系数 热耗散 |
| 文章编号： | 0253-231X(2002)06-0715-03 |
| 修稿时间： | 2001年12月10 |
OPTIMIZATION OF HEAT CONDUCTION: THERMAL DISSIPATION AND OPTIMAL THERMAL CONDUCTIVITY DISTRIBUTION |
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| CHENG Xin-Guang,XIA Zai-Zhong,LI Zhi-Xin,GUO Zeng-Yuan.OPTIMIZATION OF HEAT CONDUCTION: THERMAL DISSIPATION AND OPTIMAL THERMAL CONDUCTIVITY DISTRIBUTION[J].Journal of Engineering Thermophysics,2002,23(6):715-717. |
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| Authors: | CHENG Xin-Guang XIA Zai-Zhong LI Zhi-Xin GUO Zeng-Yuan |
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| Abstract: | The optimization of heat conduction through rearranging the distribution of the thermal conductivity to realize heat conduction enhancement is studied in this paper. The steady heat conduction problem is described as, the heat flow rate to be transferred is constant, the total conductive capacity, defined as the integration of the thermal conductivity in the conduction domain, is also constant. An optimization principle of the thermal conductivity being proportional to the local heat flux is deduced by variational analysis as the thermal dissipation minimization is set as the optimization target. The results of the numerical simulations show that this principle is effective and reasonable. |
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| Keywords: | optimization of heat conduction thermal conductivity thermal dissipation |
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