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首先采用积分近似法中的对数温度分布假定，二次曲线温度分布假定以及数值计算等三种方法分别求解了内侧冷却、外侧绝热时环形空间内相变介质的凝固问题；然后对积分近似解与数值解作了较为详细的比较；接着讨论了环形空间内外径比η１，初始过热度θ１，Ｂｉ数、Ｓｔｅ数等参数对凝固过程的影响；最后得到了两条重要结论：一是当环形空间内外径之比η１大于等于０６时，可用工作量较小的二次曲线温度分布代替对数温度分布，这样做所带来的误差不会超过１５％；二是积分近似法不适于求解Ｓｔｅ数特别小的固液相变问题
Firstly, three methods of logarithmic temperature distribution, temperature distribution of conics, and numerical calculation are used to solve the problem of solidification of phase change medium in annular space with inner and outer adiabatic respectively. Then, And the numerical solution is compared in more detail. Secondly, the influence of inner and outer diameter ratio η1, initial superheat θ1, Bi number, and Ste number on the solidification process is discussed. Finally, two important conclusions are obtained: firstly, The space diameter ratio η1 is greater than or equal to 0 6, the workload can be smaller than the temperature distribution of the quadric curve instead of logarithmic temperature distribution, this does not bring the error of more than 1 5%; Second, the integral approximation Not suitable for solving Ste few particularly small solid-liquid phase transition problems