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热传导方程有限容积法的MATLAB实现
引用本文:薛琼,肖小峰.热传导方程有限容积法的MATLAB实现[J].武汉理工大学学报(交通科学与工程版),2011(6).
作者姓名:薛琼  肖小峰
作者单位:武汉理工大学理学院;武汉纺织大学机电学院;华中科技大学材料成形与模具技术国家重点实验室;
基金项目:国家自然科学基金项目(批准号:10901067); 中央高校基本科研业务费专项资金项目(批准号:2011-1a-023)资助
摘    要:基于有限容积法的核心思想,推出第二类边界条件下的热传导方程统一离散格式,利用MATLAB编程实现均匀厚度的无限大板瞬态传热分析,将方程的解用图形直观表示出来,解的数值和图形表明了方法的可行性和稳定性.

关 键 词:热传导方程  有限容积法  MATLAB  

Heat Conduction Equation Finite Volume Method to Achieve by MATLAB
Xue Qiong Xiao Xiaofeng, State Key Laboratory of Material Processing , Die & Mould Technology,Huazhong University of Science & Technology,Wuhan ,China.Heat Conduction Equation Finite Volume Method to Achieve by MATLAB[J].journal of wuhan university of technology(transportation science&engineering),2011(6).
Authors:Xue Qiong Xiao Xiaofeng  State Key Laboratory of Material Processing  Die & Mould Technology  Huazhong University of Science & Technology  Wuhan  China
Institution:Xue Qiong1) Xiao Xiaofeng2,3)(School of Science,Wuhan University of Technology,Wuhan 430070,China)1)(College of Electromechanical Engineering,Wuhan Textile University,Wuhan 430073,China)2) State Key Laboratory of Material Processing and Die & Mould Technology,Huazhong University of Science & Technology,Wuhan 430074,China) 3)
Abstract:In this paper,the heat conduction equation of discrete region is deduced under Neumann boundary conditions based on finite volume method(FVM).Transient heat conduction analysis of infinite plate with uniform thickness is realized by programming using MATLAB.It is useful to make the heat conduction equation more understandable by its solution,which images expression,and numerical method demonstrates the feasibility and stability.
Keywords:heat conduction equation  finite volume method  MATLAB  
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