Then basing on the free-vortex equation, potential equation and stream function of flow are achieved by mathematical analyze, and solving these equations gives flow fields.
从自由涡运动方程出发，推导出管内流场的势函数和流函数方程，获得了管内流场的数学分析解；
The diagram of distribution of speed arrow, constant lines of flow-stream function, vortex, two speed parts and pressure were studied.
绘制了速度矢量分布图，和流函数，涡量，两个分速度及压强的等值线分布图。
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