上海交通大学学报（英文版） ›› 2013, Vol. 18 ›› Issue (6): 706-711.doi: 10.1007/s12204-013-1453-7

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Analytical Solution to Steady-State Temperature Field of Two Freezing Pipes with Different Temperatures

HU Xiang-dong* (胡向东), ZHANG Luo-yu (张洛瑜)   

  1. (Department of Geotechnical Engineering; Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China)
  • 出版日期:2013-12-31 发布日期:2013-12-18
  • 通讯作者: HU Xiang-dong (胡向东) E-mail:anton.geotech@tongji.edu.cn

Analytical Solution to Steady-State Temperature Field of Two Freezing Pipes with Different Temperatures

HU Xiang-dong* (胡向东), ZHANG Luo-yu (张洛瑜)   

  1. (Department of Geotechnical Engineering; Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China)
  • Online:2013-12-31 Published:2013-12-18
  • Contact: HU Xiang-dong (胡向东) E-mail:anton.geotech@tongji.edu.cn

摘要： The existing analytical formulas to calculate the temperature field distribution of artificial frozen soil walls are all based on the conditions that the surface temperatures of all freezing pipes are equivalent. In this paper, analytical solution of steady state temperature field of two freezing pipes with different temperatures is deduced based on thermal potential superposition method. The correctness of the analytical formulas is verified by comparing the temperature field distributions of the analytical formulas and those of the numerical simulations in the same conditions. And discussions are made to analyze the influence of some parameters on temperature field distribution of this condition.

关键词: artificial ground freezing (AGF), freezing-pipe temperature, temperature filed, steady state, analytical solution, thermal potential

Abstract: The existing analytical formulas to calculate the temperature field distribution of artificial frozen soil walls are all based on the conditions that the surface temperatures of all freezing pipes are equivalent. In this paper, analytical solution of steady state temperature field of two freezing pipes with different temperatures is deduced based on thermal potential superposition method. The correctness of the analytical formulas is verified by comparing the temperature field distributions of the analytical formulas and those of the numerical simulations in the same conditions. And discussions are made to analyze the influence of some parameters on temperature field distribution of this condition.

Key words: artificial ground freezing (AGF), freezing-pipe temperature, temperature filed, steady state, analytical solution, thermal potential

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