Generalized analytical solution to steady-state temperature field of double-circle-piped freezing
HU Xiangdong
FANG Tao
HAN Yanguang
Abstract：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 singlerow-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.
Keywords：artificial ground freezingdouble-circle-piped freezingsteady-state temperature fieldanalytical solutionconformal mappingharmonic equations
Publication Date：2017-01-01
Pages：8( 2287-2294 )