中文摘要：

将相似理论与解析计算相结合,全面研究了冻结管外表面温度非恒定条件下的单管冻结问题;获得了具有较高精度的温度场分布规律、冻结区半径、管壁热流密度和冻结区平均温度近似计算公式,其相对误差不超过2%;分析证明了影响冻结区半径、管壁热流密度和冻结区平均温度的4个主要因素;从理论上解释了数值计算中冻土与未冻土容积比热比值Lc对温度场影响甚微的原因;结合模拟试验实测数据,对冻结区半径的近似解析解进行了验证,近似解析解与实测值之间的最大偏差为5%。

英文摘要：

With the combination with the similar theory and analytic calculation, the single tube freezing problem under the surface temperature non-constant condition of the freezing tube was fully studied. The temperature filed distribution law with high accuracy, the radius of the freezing zone, the thermal flux density of the tube wall and the approximate calculation formula of the average temperature in the freezing zone were obtained and the relevant error would not be over 2%. The analysis showed that there would be four main factors influenced to the radius of the freezing zone, the thermal flux density of the tube wall/md the average temperature of the freezing zone. Theoretically the paper explained the cause of less influence to the temperature field by the ratio of frozen soil volumetric specific heat to unfrozen soil L in the numerical caculation. In combination with the site measured data of the simulation test, the similar analytic solution of the freezing zone radius was verified. The max error between the similar analytic solution and site measured value was 5 %.