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arXiv 2602.22022physics.flu-dyn
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圆柱体周围的反向流

Counterflow around a cylinder

Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo(圣保罗大学数学与计算科学学院);Departamento de Engenharia Aeronáutica, Universidade Estadual Paulista(圣保罗州立大学航空工程系);Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid(马德里理工大学航空航天高等工程学院);Grupo de Mecânica de Fluidos Reativos, Instituto Nacional de Pesquisas Espaciais(国家空间研究所反应流体力学组)

Matheus P. Severino, Leandro F. Souza, Elmer M. Gennaro, Daniel Rodríguez, Fernando F. Fachini

AI总结:

研究圆柱体周围反向流的流动特性,揭示了Re临界值及不稳定模态的形成机制。

摘要:

通过守恒方程的数值求解和线性稳定性分析,研究了无压缩流体在无约束平面反向流中圆柱体中心处的流动情况。该流动完全由雷诺数(Re)决定——基于圆柱半径、定义反向流的应变率以及运动粘度。对于非常低的Re值,流动是稳定的、二维的,并且完全附着在圆柱体壁上。当Re超过Re_s≈16.86时,流动分离,产生两个对称的、反向旋转的回流区域,分别位于圆柱体两侧。进一步增加Re会导致回流区域的逐步扩大以及多个回流中心的出现,类似于Moffatt涡。然而,反向流所施加的对流加速度限制了它们的大小。当Re_c≈4146时,振荡模态线性不稳定。该模态导致流体在圆柱体两侧出现蛇形蜿蜒流动,类似于著名的von Kármán不稳定性。该模态的频率与定义反向流的应变率成正比。

英文摘要:

The incompressible flow around a circular cylinder, positioned at the center of an unconfined planar counterflow, is studied by means of numerical solutions of the conservation equations and linear stability analysis. The flow is completely defined by the Reynolds number ($\Rey$) -- based on the cylinder radius, the strain rate defining the counterflow, and the kinematic viscosity. For very low values of $\Rey$, the flow is steady, two-dimensional, and fully attached to the cylinder wall. Increasing $\Rey$ above $\Rey_s \approx 16.86$, the flow separates, giving rise to two symmetric, counter-rotating recirculation regions on each side of the cylinder. Further increasing $\Rey$ leads to a progressive enlargement of the recirculation regions and the appearance of multiple recirculation centers, akin to Moffatt eddies. However, the convective acceleration imposed by the counterflow limits their size. An oscillatory mode becomes linearly unstable for $\Rey_{c} \approx 4146$. This mode gives rise to a sinuous meandering of the wake flow, on each side of the cylinder, being analogous to the well-known von Kármán instability. The frequency of this mode is directly proportional to the strain rate defining the counterflow.

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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