On the effect of torsion on a helical pipe flow
On the effect of torsion on a helical pipe flow
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DOI：
10.1017/s0022112082003206
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发表时间：
1982-12
影响因子：
3.7
通讯作者：
M. Germano
中科院分区：
文献类型：
--
作者：
M. Germano
本文引入了一个沿一般空间曲线的沿着正交坐标系，并在此坐标系中显式地写出了定常不可压缩粘性流的Navier-Stokes方程。作为应用，本文研究了螺旋管中的流动，由于曲率和挠率与管半径相比很小，故将该流动视为受扰Poillille流。结果表明，对于相同阶数的曲率和挠率，在低雷诺数下，曲率对流动的影响是一阶的，而挠率对流动的影响是二阶的。最后一个结果与Wang（1981）的结果不一致，后者采用非正交坐标系，发现了扭转对流动的一阶效应。
An orthogonal coordinate system along a generic spatial curve has been introduced, and the Navier-Stokes equations for a steady incompressible viscous flow have been explicitly written in this frame of reference. As an application the flow in a helical pipe has been studied, and, formdii 5f curvature and torsion small compared with the radius of the pipe, the flow has been considered as a perturbed Poiseuille flow. The result is that for curvatures and torsions of the same order and for low Reynolds number the curvature induces on the flow a first-order effect on the parameter ε =κa, where κ is the curvature and a the radius of the pipe, while the effect of the torsion on the flow is of the second order in E. This last result disagrees with those of Wang (1981), who, adopting a non-orthogonal coordinate system, found a first-order effect of torsion on the flow.