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Flow control over an undulating membrane

机译:波动膜的流量控制

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The flow along a flexible membrane forced to undulate in the form of a streamwise travelling wave pattern is studied experimentally in detail. Flow field and force measurements confirm that the form drag of the wavy wall is significantly reduced when starting the undulatory motion. A mechanical model of an undulating membrane was built, based on previous investigations described in literature, and placed in an open water channel. The motion pattern of the membrane was prescribed in such a way to achieve a downstream travelling wave with increasing amplitude. The exploratory focus laid on the identification of hydrodynamic mechanisms of drag reduction due to undulatory motion. The wave-speed c of the travelling wave was set proportional to the incoming flow velocity U, according to an optimum ratio identified by previous numerical and experimental investigations. Poisson’s equation for the pressure was used to calculate the 2D pressure field from the experimental data of the unsteady flow field. In addition, the integral drag force of the membrane, as a function of c/U, was measured with a force balance to compare with previous published numerical findings. Furthermore, the velocities close to the surface of the membrane were measured, and the boundary layer profiles were determined. The resulting normalised velocity profiles affirm an oscillation between laminar and turbulent flow over one period of the motion. The results are in good agreement with previous experimental and numerical findings. Additionally, the characteristics of the flow along a travelling wave with increasing amplitude are discussed in more detail.
机译:通过实验详细研究了沿着柔性膜的流动,该柔性膜被迫以流向行波形式波动。流场和力的测量结果证实,在开始波动运动时,波浪壁的形式阻力明显减小。基于文献中描述的先前研究,构建起伏膜的机械模型,并将其放置在开放水道中。规定膜的运动模式,以实现振幅增大的下游行波。探索性重点放在确定由于波动运动引起的减阻的流体力学机理上。根据先前的数值和实验研究确定的最佳比例,将行波的波速c设置为与传入流速U成比例。泊松压力方程用于根据非恒定流场的实验数据计算二维压力场。此外,使用力平衡测量了膜的积分阻力(作为c / U的函数),以与以前发表的数值发现进行比较。此外,测量接近膜表面的速度,并确定边界层轮廓。所得的归一化速度曲线确定了运动的一个周期内层流和湍流之间的振荡。结果与先前的实验和数值发现非常吻合。此外,还将详细讨论沿行波振幅增加的流动特性。

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