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Angular momentum balance and vortex production in wall-bounded flows

机译:墙面流动中的角动量平衡和涡旋生产

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To produce a vortex, a torque must be applied to the fluid. In viscous fluids, the torques that produce turbulent vortices result from the loss of symmetry of the stress tensor, once the viscous friction exceeds the shear stress resistance of the fluid. In wall-bounded flows, in particular, the turbulent vortices form in a thin layer of fluid adjacent to the wall, practically coinciding with the so-called viscous sublayer, where the viscous friction reaches the largest values. This paper determines a vortex structure for this sublayer, consistent with the well-known linearity of the diagram of the mean streamwise velocity of this region. The analysis enables us to calculate the diameter, angular velocity, and interaxis of the vortices in the viscous sublayer under steady-state conditions. The lifting force that makes the vortices migrate from the wall toward the mainstream flow is determined, and the crucial role played by gyroscopic precession in the reorientation of the vortex axis is discussed.
机译:为了产生涡流,必须将扭矩施加到流体上。在粘性流体中,一旦粘性摩擦超过流体的剪切应力阻力,就产生湍流涡流的扭矩导致湍流涡流导致。在壁限流中,特别是,湍流涡旋形状在邻近壁的薄层中形成,实际上与所谓的粘性子层,其中粘性摩擦达到最大值。本文决定了该子层的涡流结构,与该区域的平均流速图的众所周知的线性相一致。分析使我们能够在稳态条件下计算粘性子层中涡流的直径,角速度和屏障。确定使涡流从壁迁移到主流流程的提升力,并且讨论了在涡旋轴的重新定向时通过陀螺仪进展发挥的至关重要作用。

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