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

doi:10.1007/s12204-013-1453-7

Abstract

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.

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.

CLC Number:

TK 124

HU Xiang-dong* (胡向东), ZHANG Luo-yu (张洛瑜). Analytical Solution to Steady-State Temperature Field of Two Freezing Pipes with Different Temperatures[J]. Journal of shanghai Jiaotong University (Science), 2013, 18(6): 706-711.

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