竖直圆环形通道内充分发展自然对流的分析解

对于均匀加热的竖直圆环形通道内的充分发展自然对流换热问题，发现了前人分析解不完善的地方，通过运用能量守衡原理得到了封闭形式的分析解并给出了其计算实例。在一个壁面恒热流、另一个壁面绝热的两类热边界条件下，分析解所计算得到的充分发展段的发热壁面温度与实验结果都符合得较好。最后，筒述了此分析解存在的误差以及可能产生此误差的原因。

Analytical solutions for fully developed natural convection through vertical annuli

An error in the analytical solutions for fully developed natural convection through uniformly heated vertical annuli provided by previous researchers was found out. New closed-form analytical solutions was obtained based on the energy equilibrium principle, and some computational examples of the new solutions were presented. The temperatures on the heated wall in the fully developed region obtained from the new analytical solutions are in good agreements with the experimental data under two kinds of thermal boundary conditions where one wall is uniformly heated and the other wall is adiabatic. The error of the new analytical solutions and possible reasons for the error were discussed briefly.