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CORNER SINGULARITIES IN THREE-DIMENSIONAL STOKES FLOW

机译:三维斯托克斯流域的角落奇点

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Stokes flow in a corner region driven by a weakly three-dimensional stirring mechanism at some distance from the corner is considered. It is shown that, when the stirring is antisymmetric about the bisecting plane θ = 0, the flow near the corner exhibits the same type of eddy structure as is familiar from the two-dimensional theory. When the stirring is symmetric about θ = 0 however, a non-oscillatory component is in general present (driven by conditions far from the corner), and this component dominates over the oscillatory component near r = 0.
机译:考虑了在距离拐角的一定距离下由弱三维搅拌机构驱动的角落区域的斯托克斯。结果表明,当搅拌围绕分叉平面θ= 0进行反对称时,拐角附近的流动表现出与二维理论熟悉的相同类型的涡结构。当搅拌约为θ= 0时,通常存在非振荡组分(由远离角的条件驱动),并且该组件在r = 0附近的振荡组件上占主导地位。

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