旋转倾斜圆柱及倾斜角对旋涡的影响
Rotating inclined cylinder and the effect of the tilt angle on vortices
摘要：
我们数值研究了一些可能的旋涡配置在旋转的圆柱体是倾斜的旋转轴和不同数量的旋涡可以存在于给定的旋转速度。在小倾角的长柱体中，旋涡倾向于沿柱体轴线而不是沿旋转轴线排列。我们还表明，轴向流动沿圆柱轴，倾斜所造成的，将导致Ostermeier-Glaberson不稳定性超过一定的临界倾角。当涡流变得不稳定时，最终状态通常表现为动力学稳定状态，该状态可能包含湍流区域，其中不断产生新的涡流。这些新的涡流将层流区域中的其他涡流推向圆柱体的顶端和底端，在那里它们最终湮灭。在实验上，倾斜的圆柱体可以是一个方便的环境，以创建持久的湍流与偏振，可以调整与倾斜角。
英文摘要：
We study numerically some possible vortex configurations in a rotating cylinder that is tilted with respect to the rotation axis and where different numbers of vortices can be present at given rotation velocity. In a long cylinder at small tilt angles the vortices tend to align along the cylinder axis and not along the rotation axis. We also show that the axial flow along the cylinder axis, caused by the tilt, will result in the Ostermeier-Glaberson instability above some critical tilt angle. When the vortices become unstable the final state often appears to be a dynamical steady state, which may contain turbulent regions where new vortices are constantly created. These new vortices push other vortices in regions with laminar flow towards the top and bottom ends of the cylinder where they finally annihilate. Experimentally the inclined cylinder could be a convenient environment to create long lasting turbulence with a polarization which can be adjusted with the tilt angle.
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