论文标题
部分可观测时空混沌系统的无模型预测
Seagrass deformation affects fluid instability and tracer exchange in canopy flow
论文作者
论文摘要
Monami是响应单向流体流动的淹没海草床的同步波。在这里,我们为浮力,可变形海草的动态不稳定性和流动驱动的集体运动开发了多相模型。我们表明,由于海草引起的流动阻抗导致冠层界面处的速度剪切层不稳定,从而导致了周期性的涡流阵列,这些涡流向下游传播。每个经过的涡流局部削弱了冠层顶部的沿流速度,减少了阻力并允许变形的草在其下方拉直。这会导致草周期性振荡。至关重要的是,最大的草挠度与涡流不相同。不稳定性发作的相图显示了其对流体雷诺数的依赖性和有效的浮力参数。流量更容易变形,并形成较弱的剪切层,较小的涡旋和较小的材料交换在整个冠层顶部。较高的雷诺数导致海草的涡流和较大的挥舞幅度,但在中间草浮力上挥舞着挥舞。总的来说,我们的理论和计算在解释机制时纠正了一些误解,并提供了与许多实验观察一致的强大解释。
Monami is the synchronous waving of a submerged seagrass bed in response to unidirectional fluid flow. Here we develop a multiphase model for the dynamical instabilities and flow-driven collective motions of buoyant, deformable seagrass. We show that the impedance to flow due to the seagrass results in an unstable velocity shear layer at the canopy interface, leading to a periodic array of vortices that propagate downstream. Each passing vortex locally weakens the along-stream velocity at the canopy top, reducing the drag and allowing the deformed grass to straighten up just beneath it. This causes the grass to oscillate periodically. Crucially, the maximal grass deflection is out of phase with the vortices. A phase diagram for the onset of instability shows its dependence on the fluid Reynolds number and an effective buoyancy parameter. Less buoyant grass is more easily deformed by the flow and forms a weaker shear layer, with smaller vortices and less material exchange across the canopy top. While higher Reynolds number leads to stronger vortices and larger waving amplitudes of the seagrass, waving is maximized at intermediate grass buoyancy. All together, our theory and computations correct some misconceptions in interpretation of the mechanism and provide a robust explanation consistent with a number of experimental observations.