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《Journal of Beijing Jiaotong University》 2013-01
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An analytical artificial boundary condition for 1-D advective-conductive heat transfer in unbounded domain

ZHANG Yong,XIANG Yanyong(School of Civil Engineering,Beijing Jiaotong University,Beijing 100044,China)  
Taking the advective-conductive heat transfer in the near filed of nuclear waste repositories as the subject of study,an analytical exact artificial boundary of 1-D advective-conductive heat transfer in unbounded domain is proposed in this paper.According to the 1-D advective-conductive heat transfer of porous media in unbounded domain,two numerical examples are solved by finite different method,in which an exact artificial boundary and a Dirichlet boundary condition are adapted.The first example with Dirichlet boundary condition in semiinfinite extent is provided for illustration of the proposed boundary condition with comparison of an analytical solution,and the second example takes into account of contributed heat sources in unbounded domain.The result indicates that the error of temperature,solved by the Dirichlet boundary condition,is greater with the position closer to the artificial boundary on a long enough time of heat transfer.In contrast,the error,calculated with the proposed exact artificial boundary,is very small and has no correlation with the position of the artificial boundary.
【Fund】: 国家自然科学基金资助项目(50778014);; 中央高校基本科研业务费专项资金资助项目(2011YJS259)
【CateGory Index】: TU43;TK124
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 FENG Shao-yuan1,2,GAO Guang-yao2,HUO Zai-lin2,ZHAN Hong-bing3(1.Yangzhou University,Yangzhou 225009,China;2.China Agricultural University,Beijing 100083,China;3.Department of Geology and Geophysics,Texas A&M University,College Station,TX 77843,USA);Semi-analytical solution for reactive solute transport in the convergent flow toan extraction well considering scale-dependent dispersion[J];Journal of Hydraulic Engineering;2010-09
2 Ren Li (Department of Hydraulic Engineering, Wuhan University of hydraulic and Electric Enginerring,Wuhan);Hybrid Laplace Transform Finite Difference Method for Transient Groundwater Flow Problems[J];Journal of Wuhan University of Hydraulic and Electric Engineering;1993-05
【Co-citations】
Chinese Journal Full-text Database 3 Hits
1 Zhang Xiaona1 Feng Jie2 Shao Wei3 Yin Yixing1(1.College of Hydrometeorology,Nanjing University of Information Science & Technology,Nanjing 210044,China 2.Water Resources Research Institute,China Institute of Water Resources and Hydropower Research,Beijing 100044,China 3.College of Water Resources and Hydrology,Hohai University,Nanjing 210098,China);Effects of Soil Macropore on Slope Solute Loss[J];Transactions of the Chinese Society for Agricultural Machinery;2013-06
2 LIU Yun-hang1,WANG Xu-dong1,ZHU Hong-bo2,ZAI Jin-min1(1.Nanjing University of Technology,Nanjing 210009,China;2.Zhejiang Province Architectural Design and Research Institute,Hangzhou 310012,China);Laplace Transform Finite Layer Method for groundwater unsteady flow in a confined aquifer[J];Journal of Hydraulic Engineering;2010-06
3 GAO Guang-yao 1,3,FENG Shao-yuan 2,3,MA Ying 2,ZHAN Hong-bin 4 (1.Research Center for Eco-Environmental Sciences,Chinese Academy of Sciences,Beijing 100085,China;2.Yangzhou University,Yangzhou 225009,China;3.China Agricultural University,Beijing 100083,China;4.Texas A&M University,College Station,TX 77843,USA);One-dimensional two-region model for reactive solute transport with scale-dependent dispersion and its application[J];Journal of Hydraulic Engineering;2011-06
【Secondary Citations】
Chinese Journal Full-text Database 4 Hits
1 Zhu Xue-yu (Department of Earth Sciences, Nanjing University, Nanjing 210008)Feng Shao-yuan (Wuhan Institute of Hgdraulic and Electric Engineering, Wuhan 430072);Determination of Dispersivity by Improved Characteristic Finite Element Approach in Pumping (Injecting) Test[J];Journal of Hydrodynamics;1992-02
2 Ren Li(Wuhan University of Hydraulic and Electric Engineering, Wuhan 430072);A Hybrid Laplace Transform Finite Element Method for solute Radial Dispersion Problem in Subsurface Flow[J];Journal of Hydrodynamics;1994-01
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4 ZHANG Desheng,SHEN Bing,SHEN Jin,WANG Quanjiu(Xi'an University of Technology,Xi'an710048,China);Two-region model for solute transport in soil under the condition of steady flow[J];Journal of Hydraulic Engineering;2003-10
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