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arXiv 2104.03421physics.flu-dyn
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非定常流中运动分离的探测

Toward the detection of moving separation in unsteady flows

Philippe Miron, Jérôme Vétel

摘要:

在许多使用工作流体的工程系统中,最佳效率接近于流动分离的条件,这使得其预测在工业中非常关键。假设壁基的量可以测量,我们今天就知道如何对二维和三维定常和周期性流动进行良好的预测。在这些流动中,分离被限定在附着于材料表面的固定线上。最后一种要说明的情况是,这条线不再附着在壁面上,而是相反地包含在流动中。然而,这种运动分离可能是自然流动和工业应用中最常见的分离情况。由于这种情况在过去几年中受到的关注较少,我们建议在这项研究中,以检查在二维,非定常流的分离不留下签名的墙壁上的移动分离的一些属性。由于在这个框架中分离可以通过使用拉格朗日框架提取,其中分离轮廓可以被视为双曲不稳定流形,我们提出了一种方法来提取由属于这个不稳定流形的拉格朗日鞍点定义的分离点。在实践中,分离点和轮廓最初通过检测壁面附近最吸引人的拉格朗日相干结构来提取,然后可以在随后的时刻及时平流。结果发现,鞍点,最初作为分离点的粘性壁流区域,显着保持其双曲性,即使他们从壁面向无粘区域喷射。本文研究了两种试验情况,即旋转和平移圆柱体的贴壁蠕动流动和平面射流撞击平面壁面所产生的边界层非定常分离。

英文摘要:

In many engineering systems operating with a working fluid, the best efficiency is reached close to a condition of flow separation, which makes its prediction very crucial in industry. Providing that wall-based quantities can be measured, we know today how to obtain good predictions for two and three-dimensional steady and periodic flows. In these flows, the separation is defined on a fixed line attached to a material surface. The last case to elucidate is the one where this line is no longer attached to the wall but on the contrary is contained within the flow. This moving separation is probably, however, the most common case of separation in natural flows and industrial applications. Since this case has received less attention during the past few years, we propose in this study to examine some properties of moving separation in two-dimensional, unsteady flows where the separation does not leave a signature on the wall. Since in this framework separation can be extracted by using a Lagrangian frame where the separation profile can be viewed as a hyperbolic unstable manifold, we propose a method to extract the separation point defined by the Lagrangian saddle point that belongs to this unstable manifold. In practice, the separation point and profile are initially extracted by detecting the most attracting Lagrangian coherent structure near the wall, and can then be advected in time for following instants. It is found that saddle points, which initially act as separation points in the viscous wall flow region, remarkably preserve their hyperbolicity even if they are ejected from the wall toward the inviscid region. Two test cases are studied, the creeping flow of a rotating and translating cylinder close to a wall, and the unsteady separation in the boundary layer generated by a planar jet impinging onto a plane wall.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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