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Analytical solutions of incompressible laminar channel and pipe flows driven by in-plane wall oscillations

机译：由面内壁振荡驱动的不可压缩层流道和管道的分析解

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Emerging flow control strategies have been proposed to tackle long-lasting problems, for instance, precise mixing of chemicals and turbulent drag reduction. Employing actuators imposing in-plane wall oscillations are particularly popular. This paper investigates incompressible laminar rectangular channel and circular pipe flows driven by uniform and traveling wave in-plane wall oscillations. A comprehensive set of exact analytical solutions are presented describing parallel and concentric flows. Dimensionless groups are identified, and it is described how they characterize the one- and two-dimensional time-dependent velocity and pressure fields. The solutions enable to compute the oscillating boundary layer thickness. It is demonstrated that the dimensionless groups and the boundary layer thickness narrows the region of interest within the parameter space. In particular, the oscillating boundary layer thickness obtained from these laminar flows estimates a "radius of action" within which flow features can be altered to boost mixing or reduce turbulent friction drag. The results are suitable for software validation and verification, may open the way to promising complex wall oscillations, and ease the optimization task that delays the industrial application of flow controls. Published under license by AIP Publishing.
机译：已经提出了新兴的流量控制策略来解决持久的问题，例如，精确混合化学品和湍流减阻。采用施加在线壁振荡的致动器特别受欢迎。本文研究了通过均匀和行进波在线壁振荡驱动的不可压缩层状矩形通道和圆形管道。提出了一套全面的精确分析解决方案，描述了并行和同心流动。鉴定无量纲基团，描述它们是如何表征一个和二维时间依赖的速度和压力场。解决方案使能计算摆动边界层厚度。结果证明，无量纲基团和边界层厚度在参数空间内缩小了感兴趣区域。特别地，从这些层流的振荡边界层厚度估计了“动作半径”，在该“动作半径”内可以改变流动特征以提升混合或减少湍流摩擦阻力。结果适用于软件验证和验证，可以开启通向复杂的墙面振荡的方式，并缓解延迟流量控制的工业应用的优化任务。通过AIP发布在许可证下发布。

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