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Study of Vortex Breakdown in a Cylindrical Cavity with a Rotating Endwall

机译:端壁旋转的圆柱腔内涡旋破坏的研究

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Flow in a cylindrical cavity with a rotating endwall is studied here. The flow structure is governed by two dimensionless parameters: Reynolds number and aspect ratio of the cavity. For certain combinations of Reynolds numbers and aspect ratios, vortex breakdown occurs and one or more recirculating regions are observed along the axis of rotation. Three-dimensional Navier-Stokes equations are solved for three aspect ratios (AR = 1.5, 2, and 2, 5) and for various Reynolds numbers, where steady solution exists. Results are compared with axisymmetric solutions. It was observed that, at higher Reynolds numbers the flow transforms from axisymmetric to three-dimensional and at very high Reynolds number, spiral counter-rotating vortices are formed due to centrifugal instabilities in the Stewartson layer.
机译:在这里研究了带有旋转端壁的圆柱腔中的流动。流动结构由两个无量纲参数控制:雷诺数和型腔的长宽比。对于雷诺数和纵横比的某些组合,会发生涡旋破裂,并且沿旋转轴观察到一个或多个再循环区域。求解三个长宽比(AR = 1.5、2和2、5)以及存在稳定解的各种雷诺数的三维Navier-Stokes方程。将结果与轴对称解进行比较。观察到,在较高的雷诺数下,流动从轴对称转变为三维,而在很高的雷诺数下,由于斯图尔特森层中的离心不稳定性而形成螺旋反向旋转的涡旋。

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