1/26

# 一维热传导matlab模拟word版.doc

.

2015 届毕业设计（论文）

2015 年 5 月

Abstract

In this paper, the method of variable separation and finite difference method are introduced to solve the problem of one-dimensional heat conduction problems, and the physical significance of numerical methods for heat conduction problems are discussed. From the basic solution, we can see the temperature on the bar are affected by the initial state during the process of temperature balance, and basic solution also satisfy the normalization condition which implied the invariance of the total heat in the bar during the heat conduction process. Through the analysis of the one-dimensional heat conduction, by taking use of variable separation method and finite difference method, we simulated the one-dimensional heat conduction problem by MATLAB. The three-dimensional images of the simulation results obtained by the method of separation of variables and finite difference method are similar to each other, and the temperature curve is in accordance with the law of temperature variation during heat conduction. Thus, we can go to the conclusion that both methods can be used to deal with the one-dimensional heat conduction problems.

Keywords: One-dimensional heat conduction; method of variable separation; finite difference method; numerical method; MATLAB simulation

• 页数26
• 收藏数0 收藏
• 顶次数0
• 上传人回忆笑一笑
• 文件大小512 KB
• 时间2021-05-03