Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (24): 197-200.

### Two dimensional heat conduction equation finite volume method to achieve on MATLAB

XUE Qiong1, XIAO Xiaofeng2

1. 1.School of Science，Wuhan University of Technology，Wuhan 430070，China
2.College of Mechanical Engineering and Automation，Wuhan Textile University，Wuhan 430073，China
• Online:2012-08-21 Published:2012-08-21

### 二维热传导方程有限容积法的MATLAB实现

1. 1.武汉理工大学 理学院，武汉 430070
2.武汉纺织大学 机械工程与自动化学院，武汉 430073

Abstract: Two dimensional diffusionless heat conduction phenomenon has been described on partial differential equation. Based on finite volume method, discretized algebraic equation of partial differential equation has been deduced. Different coefficients and source terms have been discussed under different boundary conditions, which include prescribed heat flux, prescribed temperature, convection and insulation. Transient heat conduction analysis of infinite plate with uniform thickness and two dimensional rectangle region is realized by programming using MATLAB. It is useful to make the heat conduction equation more understandable by its solution with graphical expression. Feasibility and stability of numerical method have been demonstrated by running result.