论文标题
螺旋管中的压力驱动流量：流速和摩擦因子的界限
Pressure-driven flows in helical pipes: bounds on flow rate and friction factor
论文作者
论文摘要
在本文中，我们使用众所周知的背景方法通过由较大雷诺数极限的压力差驱动的螺旋管道获得严格的下部界限。结果，我们还获得了对摩擦因子的等效上限。这些边界对于限制情况也适用于环形和直管有效。通过考虑沿管道周长的边界层厚度变化的二维背景流，我们获得了这些边界作为曲率和管道扭转的函数，因此捕获了问题的几何方面。在本文中，我们还提出了一个足够的标准，可以使用背景方法来解决哪些压力驱动流和表面驱动的流动问题。
In this paper, we use the well-known background method to obtain a rigorous lower bound on the volume flow rate through a helical pipe driven by a pressure differential in the limit of large Reynolds number. As a consequence, we also obtain an equivalent upper bound on the friction factor. These bounds are also valid for toroidal and straight pipes as limiting cases. By considering a two-dimensional background flow with varying boundary layer thickness along the circumference of the pipe, we obtain these bounds as a function of the curvature and torsion of the pipe and therefore capture the geometrical aspects of the problem. In this paper, we also present a sufficient criterion to find out which pressure-driven flow and surface-velocity-driven flow problems can be tackled using the background method.
