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《Journal of Shanghai Jiaotong University》 2013-09
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Analytical Solution of Steady State Temperature Field of Four Freezing Pipes in an Infinite Region

HU Xiang-dong;GUO Wang;ZHANG Luo-yu;Department of Geotechnical Engineering,Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education,Tongji University;  
Based on the potential superposition theory,this paper gives analytical solutions to steady state frozen temperature of four freezing pipes arranged at random.Particular solutions are derived for some particular arrangements,such as four freezing pipes with rectangle arrangement and rhombus arrangement.Comparison of the analytical solutions with the numerical thermal analysis shows that the analytical solutions are precise enough.
【Fund】: 国家自然科学基金项目(50578120 51178336);; 浙江省交通运输厅科技计划项目(2010H02)资助
【CateGory Index】: TD265.3
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【Citations】
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1 HU Xiangdong1,2,WANG Yang1,2(1.Department of Geotechnical Engineering,Tongji University,Shanghai 200092,China;2.Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education,Tongji University,Shanghai 200092,China);ANALYTICAL SOLUTION OF THREE-ROW-PIPED FROZEN TEMPERATURE FIELD BY MEANS OF SUPERPOSITION OF POTENTIAL FUNCTION[J];Chinese Journal of Rock Mechanics and Engineering;2012-05
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【Co-citations】
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1 Hu Xiangdong1,2,Zhao Junjie1,2(1.Key Laboratory of Geotechnical and Underground Engineering of the Ministry of Education,Tongji University,Shanghai 200092,China;2.School of Civil Engineering,Tongji University,Shanghai 200092,China);Research on Precision of Bakholdin Model for Temperature Field of Artificial Ground Freezing[J];Chinese Journal of Underground Space and Engineering;2010-01
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3 Zhang Jun1,2,Lin Ping3,Hu Xiangdong1,2(1.Department of Geotechnical Engineering,Tongji University,Shanghai 200092,China;2.Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education,Tongji University,Shanghai 200092,China;3.Shanghai Tunneling Engineering Co.,Ltd.,Shanghai,200082,China);Safety State Assessment Method of Artificially Frozen Soil Curtain in Saline Strata and Its Application[J];Chinese Journal of Underground Space and Engineering;2010-01
4 Hu Xiangdong1,2,Long Lianghui1,2(1.Key Laboratory of Geotechnical and Underground Engineering of the Ministry of Education,Tongji University,Shanghai 200092,China;2.School of Civil Engineering,Tongji University,Shanghai 200092,China);Freezing Reinforcement for Repair Works of Subsea Shield[J];Chinese Journal of Underground Space and Engineering;2010-03
5 HU Xiang-dong1,2(1.Department of Geotechnical Engineering,Tongji University,Shanghai 200092,China;2.Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education,Tongji University,Shanghai 200092,China);Average Temperature Calculation for the Straight Single-Row-Pipe Frozen Soil Wall[J];Journal of Glaciology and Geocryology;2010-04
6 SHEN Bi-wei1,HU Xiang-dong1,SHEN Wei-jie2 (1.Department of Geotechnical Engineering,School of Civil Engineering,Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education,Tongji University,Shanghai 200092,China;2.Xianju Architecture Design Studio,Zhejiang Xianju 317300,China);CALCULATION METHOD OF AVERAGE TEMPERATURE FOR TEMPERATURE FIELD OF SINGLE-ROW-FROZEN SOIL WALL[J];Low Temperature Architecture Technology;2010-11
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8 Yang Bo1,2,Ding Wenqi1,2,Hu Xiangdong1,2,Liu Peng1,2(1.Department of Geotechnical Engineering,School of Civil Engineering,Tongji University,Shanghai 200092, China;2.Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University,Shanghai 200092,China);Sensitivity Analysis of Control Parameters for Average Temperature of Single-Row-Pipe Frozen Soil Wall[J];Chinese Journal of Underground Space and Engineering;2012-06
9 Song Yingjie1,Hu Xiangdong2,Chen Lei3(1.Department of Energy and Environment Engineering,China Enfi Engineering Corporation,Beijing 100038,China; 2.Department of Geotechnical Engineering,Tongji University,Shanghai 200092,China; 3.China Railway Engineering Consulting Group Co.,Ltd,Railway Line and Station Design & Research Institute,Beijing 100055,China);Sensitivity Analysis on Position of Temperature Measuring Points of Bakholdin Solution in Double-Row-Pipe Freezing[J];Chinese Journal of Underground Space and Engineering;2013-03
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