| 基于傅立叶级数解的导温系数现场测定 |
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| 引用本文： | 吴建良,汤文,孙立军.基于傅立叶级数解的导温系数现场测定[J].同济大学学报(自然科学版),2011,39(10):1495-1499. |
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| 作者姓名： | 吴建良 汤文 孙立军 |
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| 作者单位： | 1. 同济大学道路与交通工程教育部重点实验室,上海,201804
2. 中交第二公路勘察设计研究院有限公司,湖北武汉,430056 |
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| 摘 要： | 将路面温度场抽象为1维瞬态热传导方程,由分离变量法导出满足方程的傅立叶级数,推导出在已知界面温度时确定1维层状体瞬态温度分布的解答.基于路面温度场实测数据,提出用牛顿法反算路面材料导温系数的方法.在路面降温过程中路面温度沿深度单调变化时,傅立叶级数解取50项就能够达到0.01℃的精度.实测数据分析结果表明:路面沥青层中上部导温系数较下部稍大,中面层AC-16导温系数为0.002 4m2.h-1,底面层AC-25为0.001 6m2.h-1,比大多实验室测定值低.
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| 关 键 词： | 路面 材料 温度场 导温系数 傅立叶级数 |
| 收稿时间： | 2010/7/14 0:00:00 |
| 修稿时间： | 7/9/2011 9:45:15 AM |
Thermal Diffusivity Field Determination Based on Fourier Series |
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| WU Jianliang,TANG Wen and SUN Lijun.Thermal Diffusivity Field Determination Based on Fourier Series[J].Journal of Tongji University(Natural Science),2011,39(10):1495-1499. |
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| Authors: | WU Jianliang TANG Wen and SUN Lijun |
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| Institution: | Key Laboratory of Road and Traffic Engineering of the Ministry of Education,Tongji University,Shanghai 201804,China;CCCC Second Highway Consultants Co.Ltd.,Wuhan 430056,China;Key Laboratory of Road and Traffic Engineering of the Ministry of Education,Tongji University,Shanghai 201804,China |
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| Abstract: | Pavement temperature field was Abstracted as one-dimensional transient heat conduction equation.Fourier series that compatibility with the equation was obtained by separation of variables.Then instantaneous temperature distribution of one dimensional layered body in terms of known interface temperature was derived based on Fourier series.The Newton method that back-calculation the thermal diffusivity of pavement material in related to measuring temperature distribution in field was presented.In cooling proc... |
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| Keywords: | pavement material temperature field thermal diffusivity Fourier series |
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