ANALYTICAL SOLUTION OF THREE-ROW-PIPED FROZEN TEMPERATURE FIELD BY MEANS OF SUPERPOSITION OF POTENTIAL FUNCTION
HU Xiangdong1，2，WANG Yang1，
(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)
Abstract：Based on the theory of analogy between thermal and hydraulic problems，using the superposition of potential function in hydraulics，this paper proved the existing analytical solutions of temperature field for the single-piped，single-row-piped and double-row-piped frozen soil walls. Further by using the coefficient of coverage，an analytical solution of three-row-piped frozen temperature field was also worked out. Comparison of the analytical solution with the numerical thermal analysis shows that the analytical solution is precise enough and will afford some new thoughts in working out the analytical solution of multi-row-piped frozen temperature field，as well as some reasonable guidance in three-row pipe freezing projects.
胡向东1，2，汪 洋1，2. 三排管冻结温度场的势函数叠加法解析解[J]. 岩石力学与工程学报, 2012, 31(5): 1071-1080.
HU Xiangdong1，2，WANG Yang1，. ANALYTICAL SOLUTION OF THREE-ROW-PIPED FROZEN TEMPERATURE FIELD BY MEANS OF SUPERPOSITION OF POTENTIAL FUNCTION. , 2012, 31(5): 1071-1080.
胡向东，白 楠，余 锋. 单排管冻结温度场Trupak和Bakholdin公式的适用性[J]. 同济大学学报：自然科学版，2008，36(7)：906-910. (HU Xiangdong，BAI Nan，YU Feng. Analysis of Trupak and Bakholdin Formulas for temperature field of single-row-pipe frozen soil wall[J]. Journal of Tongji University：Natural Science，2008，36(7)：906-910.(in Chinese))
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2012, Vol. 31 
