| 基于拉格朗日方程的含源导热问题分析 |
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| 引用本文： | 宋柏,吴晶,过增元.基于拉格朗日方程的含源导热问题分析[J].工程热物理学报,2011(1):141-144. |
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| 作者姓名： | 宋柏 吴晶 过增元 |
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| 作者单位： | 清华大学航天航空学院热科学与动力工程教育部重点实验室; |
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| 基金项目： | 国家重点基础研究发展规划资助项目(No.2007CB206901) |
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| 摘 要： | 应用基于热质理论的拉格朗日方程对含内热源一维瞬态导热问题进行了近似求解,计算结果与精确解吻合较好;同时指出了现有文献中采用分析力学方法讨论导热问题时存在的某些不足.本文工作表明了基于热质理论用分析力学观点研究导热间题这一方法的有效性,也从一个侧面说明热质和热质能等热学新概念具有一定的合理性.
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| 关 键 词： | 热质 热质能 拉格朗日方程 内热源 |
ANALYSIS OF HEAT CONDUCTION PROBLEM INVOLVING HEAT SOURCE USING LAGRANGIAN EQUATION |
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| SONG Bai WU Jing GUO Zeng-Yuan.ANALYSIS OF HEAT CONDUCTION PROBLEM INVOLVING HEAT SOURCE USING LAGRANGIAN EQUATION[J].Journal of Engineering Thermophysics,2011(1):141-144. |
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| Authors: | SONG Bai WU Jing GUO Zeng-Yuan |
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| Institution: | SONG Bai WU Jing GUO Zeng-Yuan (Key Laboratory for Thermal Science and Power Engineering of Ministry of Education,School of Aerospace,Tsinghua University,Beijing 100084,China) |
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| Abstract: | Using Lagrangian equation based on thermomass theory,the approximate solution to a 1D transient heat conduction problem involving heat source is obtained,which is in good agreement with the exact analytical solution.Certain drawbacks of existing theory are discussed.The present work shows that,based on thermomass theory,heat conduction problems could be treated from the perspective of analytical mechanics.Also,the concepts of thermomass and thermomass energy are to some extent justified. |
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| Keywords: | thermomass thermomass energy Lagrangian equation heat source |
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