环形双圈管冻结稳态温度场广义解析解

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。

Generalized analytical solution to steady state temperature field of double-circle-piped freezing

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 paper,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.