| 辐射-导热耦合换热边界元算法 |
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| 引用本文： | 高效伟,王静,崔苗.辐射-导热耦合换热边界元算法[J].中国科学:物理学 力学 天文学,2011(3):302-308. |
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| 作者姓名： | 高效伟 王静 崔苗 |
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| 作者单位： | 大连理工大学航空航天学院工业装备结构分析国家重点实验室;东南大学工程力学系; |
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| 基金项目： | 国家自然科学基金(批准号:10872050)资助项目 |
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| 摘 要： | 本文提出了一种求解辐射-导热耦合换热问题的边界单元算法(BEM),该方法将两种传热方式通过辐射热源耦合起来.首先,采用BEM对辐射传热方程、辐射热源方程和含有辐射热源的热传导方程进行离散;其次,利用辐射传热方程消除辐射热源方程中的辐射热流项;然后,根据Stefan-Boltzmann定律形成含有温度四次方以及热流密度表示的非线性代数方程组.出现在所有积分方程中的域积分由径向积分法转换成边界积分,形成了对于参与性介质问题也只需在边界上划分单元的纯边界元算法.最后,用Newton-Raphson迭代法对方程组进行求解.提供的数值算例将表明本文所介绍方法的正确性与有效性.
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| 关 键 词： | 热辐射 热传导 耦合换热 边界单元法 |
BEM for coupling radiation-conduction heat transfer |
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| GAO XiaoWei,WANG Jing & CUI Miao State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian ,China.BEM for coupling radiation-conduction heat transfer[J].Scientia Sinica Pysica,Mechanica & Astronomica,2011(3):302-308. |
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| Authors: | GAO XiaoWei WANG Jing & CUI Miao State Key Laboratory of Structural Analysis for Industrial Equipment Dalian University of Technology Dalian China |
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| Institution: | GAO XiaoWei1*,WANG Jing2 & CUI Miao1 1 State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian 210096,China,2 Department of Engineering Mechanics,Southeast University,Nanjing 210096 |
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| Abstract: | A boundary element method is presented for solving radiation-conduction coupling heat transfer problems.Two heat transfer processes are coupled by using radiation sources.Firstly,equations of radiative heat transfer,radiative heat source and heat conduction are discretized using BEM,respectively.Secondly,the radiative heat flux in radiative heat source equation is eliminated using radiative heat transfer equation.Then,a set of nonlinear equations is obtained according to the Stefan-Boltzmann law.All domain ... |
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| Keywords: | heat radiation heat conduction coupling heat transfer boundary element method |
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