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Generalized analytical solution to steady-state temperature field of double-circle-piped freezing
Cold Regions Science and Technology ( IF 4.1 ) Pub Date : 2020-07-01 , DOI: 10.1016/j.coldregions.2020.103076
Zhi-li Shao , Xiang-dong Hu , Yan-guang Han , Tao Fang

Abstract Temperature field distribution is the basis theory of artificial ground freezing, which is essential for mastering the temperature development of frozen soil wall. In practice, the double-circle-piped arrangements of freezing pipes are mostly applied. Concerning to all analytical solutions to the steady-state temperature field, there is no result of the double-circle-piped freezing. This paper establishes a model for the steady-state temperature field of double-circle-piped freezing. Then, according to conformal mapping and the boundary separation method, this model of the double-row-piped freezing is transformed into two special single-row-piped freezing models. Thereby, the solution to double-circle-piped freezing model is obtained by solving the single-row-piped freezing problem. And the analytical results for some typical double-circle-piped problems show good consistent with the numerical thermal results. Furthermore, the applications for calculating the thickness and average temperature under double-circle-piped condition are derived.

中文翻译:

双圆管冷冻稳态温度场的广义解析解

摘要 温度场分布是人工冻结地面的基础理论,是掌握冻土墙体温度变化规律的基础。在实践中,冷冻管多采用双圆管布置。对于稳态温度场的所有解析解,都没有双圆管冻结的结果。本文建立了双圆管冷冻稳态温度场模型。然后,根据等角映射和边界分离方法,将该双排管道冻结模型转化为两个特殊的单排管道冻结模型。从而通过求解单排管冻结问题得到双管冻结模型的解。对一些典型的双圆管问题的解析结果与数值热解结果吻合良好。进一步推导出了双圆管条件下厚度和平均温度计算的应用。
更新日期:2020-07-01
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