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有压管道中凸体绕流的势流一般解可采用解析函数在辅助平面上获得。根据顺直管道势流可获解析解这一事实,在每一离散小间距中假设固壁边界为直线,可获得近似解析解。然后采用变量替换,可获得物理平面上的近似解析解。对拱型、半拱型、平台和三角形凸体绕流进行了计算。计算结果与实验资料吻合良好。
The general solution of the potential flow around the flow of a convex body in a pressurized pipe can be obtained on the auxiliary plane by using an analytic function. According to the fact that the straight pipe flow can be solved analytically, we assume that the solid wall boundary is a straight line in each discrete small space, and an approximate analytic solution can be obtained. Then use the variable substitution to obtain the approximate analytic solution on the physical plane. Flow around the arches, semi-arches, platforms and triangular protrusions were calculated. The calculated results are in good agreement with the experimental data.