[1]刘 亚,侯小刚,张 敏.含内热源多维稳态热传导问题的数值分析[J].南京师范大学学报(工程技术版),2010,10(02):045-47.
 Liu Ya,Hou Xiaogang,Zhang Min.Numerical Computation of Heat Conduction With Multidimensional Heat Source Terms[J].Journal of Nanjing Normal University(Engineering and Technology),2010,10(02):045-47.
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含内热源多维稳态热传导问题的数值分析
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南京师范大学学报(工程技术版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
10卷
期数:
2010年02期
页码:
045-47
栏目:
出版日期:
2010-02-01

文章信息/Info

Title:
Numerical Computation of Heat Conduction With Multidimensional Heat Source Terms
作者:
刘 亚1 侯小刚2 张 敏1
1. 南京理工大学动力工程学院, 江苏南京210094; 2. 南京师范大学动力工程学院, 江苏南京210042
Author(s):
Liu Ya1Hou Xiaogang2Zhang Min1
1.School of Power Engineering,Nanjing University of Science and Technology,Nanjing 210094,China;2.School of Power Engineering,Nanjing Normal University,Nanjing 210042,China
关键词:
分离变量 变量变换 数值方法 解析方法
Keywords:
var ia tion va riab le variab le transform num er ica l ca lcu la ting m ethod exact so lution
分类号:
TK124
摘要:
用分离变量法和变量变换原理,解析求解含内热源的多维稳态热传导问题,并得到含有变型贝塞尔函数的精确解.同时,在结构化网格中,用有限容积方法离散热传导方程,用可视化FORTRAN编写二维和三维计算程序,并且对该问题进行数值计算,将数值计算结果与精确解进行比较.这两种方法的结果呈现出令人满意的一致性,从而可以佐证数值方法和解析方法完美的互补性与实用性.
Abstract:
Themu lt-i d im ensiona l steady state hea t conduc tion prob lems w ith the heat source term s w ere so lved us ing the va riation variab lem ethods and var iable transfo rm s. And, they w ere calculated in the finite vo lume m ethod ( FVM ) and structured m eshes. The resu lts are in agreem en t w hen the num erical so lution com pared w ith the exact so lutions. A ll these above-m entioned demonstra te the sign ificance o f applica tion about the pro cedures in m athema tics ana ly st and num erical compu tation.

参考文献/References:

[ 1] M N 奥齐西克. 热传导[M ]. 俞昌铭, 译. 北京: 高等教育出版社, 1984. O zisikM N. H ea t Conduction[M ]. Yu Changm ing, T ransla ted. Be ijing: H igh Education Press, 1984. ( in Chinese)
[ 2] 徐士良. FORTRAN常用算法程序集[M ]. 北京: 清华大学出版社, 1997. Xu Sh iliang. FORTRAN Common A lgor ithm and Program [M ]. Be ijing: TsinghuaUn iversity Press, 1997. ( in Chinese)
[ 3] Pa tanka r S V. Com putation o f Conduction and Duc t Flow H eat Transfer[M ] . New York: Innov ative Research Inc, 1991.
[ 4] Pa tanka r S V. Num er ica lH eat Transfer and Fluid Flow [M ]. New Yo rk: H em isphe re Press, 1981.
[ 5] 陶文铨. 数值传热学[M ]. 西安: 西安交通大学出版社, 2001. TaoW enquan. Num ericalH ea t Transfer[M ]. X i. an: X i. an Jiao tong University Press, 2001. ( in Ch inese)
[ 6] ZhangM. M odeling o f radiative hea t transfer and d iffusion pro cesses using unstructured g rid[ D]. USA: Tennessee Techno log-ica lUn ive rsity, 2000.

备注/Memo

备注/Memo:
通讯联系人: 侯小刚, 副教授, 研究方向: 热力系统仿真, E-m ail: hxg@ n jnu. edu. cn
更新日期/Last Update: 2013-04-02