Solution of pavement temperature field in “Environment-Surface” system through Green’s function
来源期刊：中南大学学报(英文版)2014年第5期
论文作者：CHEN Jia-qi(陈嘉祺) LI Liang(李亮) 赵炼恒 DAN Han-cheng(但汉成) YAO Hui(姚辉)
文章页码：2108 - 2116
Key words：road engineering; pavement temperature field; “Environment-Surface” system; heat transfer theory; Green’s function
Abstract: In order to simplify the boundary conditions of pavement temperature field, the “Environment-Surface” system which considered the natural environment and pavement surface was established. Based on this system, the partial differential equations of the one-dimensional heat conduction in the pavement were established on the basis of the heat transfer theory. Furthermore, the function forms of the initial and boundary conditions of the equations were created through the field experiments. The general solution of the pavement one-dimensional heat conduction partial differential equations was acquired by using Green’s function, and the explicit expression of pavement temperature field under specific constraint conditions was derived. For the purpose of analysis, the pavement temperatures in different seasons were calculated using the explicit expression of pavement temperature field, and the calculation accuracy was analyzed through the comparison between measured and calculated values. Then, the relationship between fitting accuracy and calculation accuracy of pavement temperatures was analyzed. The analysis results show that: the usage of “Environment-Surface” system simplifies the calculation of pavement temperature field; the relative error between calculated and measured values ？？is generally less than 7% and is seldom influenced by seasons; there is a positive correlation between the calculation accuracy and the fitting accuracy of pavement surface temperature; high fitting accuracy would result in less error of pavement temperature prediction.
CHEN Jia-qi(陈嘉祺)1, 2, LI Liang(李亮)1, ZHAO Lian-heng(赵炼恒)1, DAN Han-cheng(但汉成)1, 3, YAO Hui(姚辉)1
(1. School of Civil Engineering, Central South University, Changsha 410075, China;
2. Rutgers, The sate University of New Jersey, Piscataway, NJ 08854, USA;
3. Post-doctoral Research Center, Guizhou Transportation Planning Survey & Design Academe,
Guiyang 550001, China)
Abstract:In order to simplify the boundary conditions of pavement temperature field, the “Environment-Surface” system which considered the natural environment and pavement surface was established. Based on this system, the partial differential equations of the one-dimensional heat conduction in the pavement were established on the basis of the heat transfer theory. Furthermore, the function forms of the initial and boundary conditions of the equations were created through the field experiments. The general solution of the pavement one-dimensional heat conduction partial differential equations was acquired by using Green’s function, and the explicit expression of pavement temperature field under specific constraint conditions was derived. For the purpose of analysis, the pavement temperatures in different seasons were calculated using the explicit expression of pavement temperature field, and the calculation accuracy was analyzed through the comparison between measured and calculated values. Then, the relationship between fitting accuracy and calculation accuracy of pavement temperatures was analyzed. The analysis results show that: the usage of “Environment-Surface” system simplifies the calculation of pavement temperature field; the relative error between calculated and measured values ？？is generally less than 7% and is seldom influenced by seasons; there is a positive correlation between the calculation accuracy and the fitting accuracy of pavement surface temperature; high fitting accuracy would result in less error of pavement temperature prediction.
Key words:road engineering; pavement temperature field; “Environment-Surface” system; heat transfer theory; Green’s function
