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 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.