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arXiv 2004.01051physics.flu-dyn
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滑移面上层流和过渡流的动力学:对层流-紊流分界线的影响

Dynamics of laminar and transitional flows over slip surfaces: effects on the laminar-turbulent separatrix

Ethan A. Davis, Jae Sung Park

摘要:

本文用直接数值模拟的方法研究了滑移面对平面Poillille流层流-湍流分界线的影响。湍流寿命,湍流持续的可能性,研究过渡流与各种滑移长度。与无滑移情况相比,滑移面降低了持续湍流的可能性,并且随着滑移长度的增加,可能性进一步降低。采用纳维-斯托克斯方程的非线性行波解(也称为精确相干解),对滑移面对湍流转捩的影响进行了确定性分析。使用了两个解族,称为P3和P4,因为它们的下分支解嵌入层流和湍流的吸引盆的边界上(Park & Graham 2015)。此外,它们表现出不同的流动结构-P3和P4分别表示为核心模式和临界层模式。滑移面对解的影响通过摩擦力演化、线性增长率和过渡轨迹的相空间投影来观察。滑移面改变过渡动力学的核心模式,但相当大的临界层模式。最重要的是,滑移面促进不同的过渡动力学-早期和旁路样过渡的核心模式和延迟和H-/K型的临界层模式的过渡。时空和象限分析的基础上,它被发现,滑移面促进流行的强壁向运动(掠样事件)靠近涡核通道中心附近,诱导早期过渡,而持续的喷射事件存在于该地区的$Λ$形涡核靠近临界层,导致延迟过渡。

英文摘要:

The effect of slip surfaces on the laminar-turbulent separatrix of plane Poiseuille flow is studied by direct numerical simulation. Turbulence lifetimes, the likelihood that turbulence is sustained, is investigated for transitional flows with various slip lengths. Slip surfaces decrease the likelihood of sustained turbulence compared to the no-slip case, and likelihood is further decreased as slip length is increased. A deterministic analysis of the effects of slip surfaces on transition to turbulence is performed using nonlinear traveling wave solutions to the Navier-Stokes equations, also known as exact coherent solutions. Two solution families, dubbed P3 and P4, are used since their lower-branch solutions are embedded on the boundary of the basin of attraction of laminar and turbulent flows (Park & Graham 2015). Additionally, they exhibit distinct flow structures -- the P3 and P4 are denoted as core mode and critical layer mode, respectively. Distinct effects of slip surfaces on the solutions are observed by the skin friction evolution, linear growth rate, and phase-space projection of transitional trajectories. The slip surface modifies transition dynamics little for the core mode, but considerably for the critical layer mode. Most importantly, the slip surface promotes different transition dynamics -- early and bypass-like transition for the core mode and delayed and H-/K-type-like transition for the critical layer mode. Based on spatiotemporal and quadrant analyses, it is found that slip surfaces promote the prevalence of strong wall-toward motions (sweep-like events) near vortex cores close to the channel centre, inducing an early transition, while sustained ejection events are present in the region of the $Λ$-shaped vortex cores close to the critical layer, resulting in a delayed transition.

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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