无限大区域内四管冻结的稳态温度场解析解

上海交通大学学报（自然版） ›› 2013, Vol. 47 ›› Issue (09): 1367-1371.

无限大区域内四管冻结的稳态温度场解析解

胡向东，郭旺，张洛瑜

(同济大学地下建筑与工程系，岩土及地下工程教育部重点实验室，上海 200092)

收稿日期:2012-12-08 出版日期:2013-09-28 发布日期:2013-09-28
基金资助:
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

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, Shanghai 200092, China)

Received:2012-12-08 Online:2013-09-28 Published:2013-09-28

摘要/Abstract

摘要：

采用势函数叠加理论推导了4根冻结管以任意形式排列冻结时的稳态温度场解析解，得出了4根冻结管以等间距直线、矩形和菱形等排列时的稳态温度场特定解，并用热学数值模拟方法对解析解进行验证.结果表明，解析解的计算结果与数值模拟结果较吻合.

关键词: 人工地层冻结法, 冻结管, 势函数, 稳态, 温度场

Abstract:

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.

Key words: artificial ground freezing, freezing pipe, potential function, steady state, temperature filed

中图分类号:

TU 311.4

胡向东，郭旺，张洛瑜. 无限大区域内四管冻结的稳态温度场解析解[J]. 上海交通大学学报（自然版）, 2013, 47(09): 1367-1371.

HU Xiangdong,GUO Wang,ZHANG Luoyu. Analytical Solution of Steady State Temperature Field of Four Freezing Pipes in an Infinite Region[J]. Journal of Shanghai Jiaotong University, 2013, 47(09): 1367-1371.

参考文献

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