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.
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Foundation item: the National Natural Science Foundation of China (Nos. 50578120 and 51178336) and the Science and Technology Project of the Zhejiang Department of Transportation (No. 2010H02)
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Hu, Xd., Zhang, Ly. Analytical solution to steady-state temperature field of two freezing pipes with different temperatures. J. Shanghai Jiaotong Univ. (Sci.) 18, 706–711 (2013). https://doi.org/10.1007/s12204-013-1453-7
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DOI: https://doi.org/10.1007/s12204-013-1453-7
Key words
- artificial ground freezing (AGF)
- freezing-pipe temperature
- temperature filed
- steady state
- analytical solution
- thermal potential