1. Department of Geotechnical Engineering,Tongji University,Shanghai　 200092,China; 2. Key Laboratory of Geotechnical and Underground Engineering of the Ministry of Education,Tongji University,Shanghai　 200092,China; 3. Shanghai Tunnel Engineering Co. ,Ltd. ,Shanghai　 200232,China

对于环形布管冻结稳态温度场的解,目前仅有单圈管冻结条件下的解析解,对于双圈管冻结尚无解答。首先建立环形双圈管冻结稳态温度场的模型。然后,应用保角变换将广义环形双圈管(冻结圈内部未冻实)模型变换为直线型排布的模型,依据调和方程边界可分离性,将直线型排布模型分解为2个特殊单排管冻结问题,从而得到广义环形双圈管的温度场解析解。最后,应用ANSYS进行了热力学数值模拟计算和物理模型实验结果以验证解析解。结果表明:在冻土帷幕充分交圈后,数值模拟结果和解析解结果基本一致,与实测温度的吻合度也很高。

Regarding all analytical solutions,only the steady-state temperature field of the single-circle-piped freezing is available with frozen and unfrozen core. However,there is no solution for the double-circle-piped freezing. In this pa- per,the model of the steady-state temperature field of double-circle-piped freezing is firstly established according to the theory of heat conduction. Then,the conformal mapping is used to convert the double-circle-piped freezing model into a special double-row-piped freezing model. After that,according to the separability of boundary conditions for harmonic equations,the solution of the double-row-piped freezing is presented by decomposing the model into two special single- row-pipe freezing models. Thereby,the solution of the double-circle-piped freezing model is obtained. Comparison of the analytical solution with the numerical thermal analysis and the model test shows that the analytical solution is in good consistency.

国家自然科学基金资助项目(51478340)；浙江省自然科学基金资助项目(LZ13E080002)；交通运输部建设科技资助项目(2013318J11300)；

HU Xiangdong,FANG Tao,HAN Yanguang. Generalized analytical solution to steady-state temperature field of double-circle-piped freezing [J]. Journal of China Coal Society,2017,42(9):2287-2294.