摘要
本文用分离变量法推导出了纯剪切作用下梯形断面管的速度分布规律和流量计算公式,并利用电子计算机绘出了速度剖面形状。本文是粘性流体力学中的纳维——斯托克司方程的又一准确解,对其它异形断面管有指导意义,对工程实际问题有实用价值。
In this paper, Velocity distribution and flowrate formulas of shear flow across the trapezium pipe are direved from separate variable and the figure of the Velocity's shape across the section is shown, which is drawn by a computer.The paper is a good example and an exact solution of using the Navier-stokes equations for such a problem, which is instructive for solving such problem on other non-circular pipes as well as solving such practical problems on engineering.