| 基于面热源的钢坯温度分布精确解 |
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| 引用本文： | 蒋绍坚,张灿,匡中付,孙英文,艾元方. 基于面热源的钢坯温度分布精确解[J]. 工业加热, 2007, 36(1): 19-21 |
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| 作者姓名： | 蒋绍坚 张灿 匡中付 孙英文 艾元方 |
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| 作者单位： | 中南大学,能源科学与工程学院,湖南长沙410083;中南大学,能源科学与工程学院,湖南长沙410083;中南大学,能源科学与工程学院,湖南长沙410083;中南大学,能源科学与工程学院,湖南长沙410083;中南大学,能源科学与工程学院,湖南长沙410083 |
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| 基金项目： | 国家高技术研究发展计划(863计划) |
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| 摘 要： | 将复杂的炉内火焰与钢坯传热过程简化为面热源传热,用数学解析的方法研究钢坯热过程温度响应特征。研究表明:可用非稳态导热数学模型表述钢坯热过程;用分离变量、傅里叶级数、傅里叶变换、线性叠加等方法,求得钢坯温度函数精确解;解析解与FEMLAB3.1数值计算吻合良好,证实了钢坯热过程数学解析的有效性和准确性。
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| 关 键 词： | 钢坯 非稳态导热 精确解 傅里叶变换 |
| 文章编号： | 1002-1639(2007)01-0019-02 |
| 修稿时间： | 2006-09-26 |
Exact Solution of Billet Temperature Distribution Based on the Surface Hot Source Injection |
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| JIANG Shao-jian,ZHANG Can,KUANG Zhong-fu,SUN Ying-wen,AI Yuan-fang. Exact Solution of Billet Temperature Distribution Based on the Surface Hot Source Injection[J]. Industrial Heating, 2007, 36(1): 19-21 |
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| Authors: | JIANG Shao-jian ZHANG Can KUANG Zhong-fu SUN Ying-wen AI Yuan-fang |
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| Affiliation: | School of Energy Science and Engineering, CSU, Changsha 410083, China |
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| Abstract: | Complex heat transfer process between the flame and billet inside the furnace is simplified into surface hot source thermal model.Mathematical analysis is used to study the temperature response characteristics of billet thermal process.Researches show that the billet heating process can be described by unstable state heat conduction mathematical model.Accurate solution of temperature function could be obtained through the methods such as separation of variables,fourier series,fourier transform and linear superposition.Analytic solution agrees with numerical calculations from the software FEMLAB3.1.The validity and accuracy of mathematical analysis to billet heating process are proved. |
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| Keywords: | billet unstable state heat conduction accurate solution fourier transform |
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