Tollmien-Schlichting波被动壁面变形控制的深度探讨：局部与下游稳定化之争、经验教训及对声子亚表面的启示

中文摘要 AI 辅助

十年前，一项关于通过亚表面声子进行流动控制的里程碑式研究改变了我们对流体-结构相互作用的认知，促使我们重新构想抑制边界层不稳定性的方法。尽管后续研究不断丰富了这一领域，但若干关键问题仍未得到充分解答。Tollmien-Schlichting（TS）波稳定的概念依赖于相位设计的表面相互作用，这种作用与波发生破坏性干涉并阻碍其增长。虽然该现象的基本驱动因素已确立，但其微观物理机制仍未被充分解析，特别是在方向效应、竞争性能量产生机制以及控制过程的确切流向位置方面。重新审视这一初始构想，我们直面这些未解问题，揭示新的见解，并为引领下一阶段研究奠定广泛的基础框架。我们首先定义了弹性壁面导纳的振幅和相位标准，该导纳驱动相对于刚性壁面的扰动能量变化。所建立的框架隔离了做功速率、粘性能量、产生和耗散在塑造流体响应中的作用，并阐明了各自如何对总体结果做出贡献。至关重要的是，我们证明了相互作用表面的流向平移如何显著改变这些参数，揭示了控制结果完全逆转的临界阈值。我们的模型确定了持续TS波衰减的具体路径，并界定了被动方式所能实现的极限。最后，我们构想了一种二维声子亚表面，其对壁面法向和流向流动的定制化非比例响应，实现了局部与下游稳定化的难以兼得的组合。

英文摘要

A decade ago, a landmark study on flow control via subsurface phonons transformed our understanding of fluid-structural interactions, compelling us to reimagine ways by which to suppress boundary layer instabilities. While subsequent investigations have steadily enriched this landscape, several questions remain largely unanswered. The notion of Tollmien-Schlicting (TS) wave stabilization relies on phase-engineered surface interactions, which destructively engage with the wave and impede its growth. Although the fundamental drivers of the phenomenon are established, its granular physics remain insufficiently resolved, particularly as it pertains to directional effects, competing energy production mechanisms, and the precise streamwise locations governing the process. Revisiting this initial vision, we confront these open questions, revealing fresh insights, and establishing broad foundational strokes to guide the next era of investigations. We begin by defining the amplitude and phase criteria of an elastic wall admittance driving perturbation energy changes relative to a rigid wall. The established framework isolates the roles of the work-rate, viscous energy, production, and dissipation in shaping the fluid's response and clarifies how each contributes to the collective outcome. Crucially, we demonstrate how streamwise translation of the interaction surface significantly alters these parameters, revealing critical thresholds at which the control result is fully reversed. Our model identifies specific pathways to sustained TS wave attenuation, and defines the limits of what can be accomplished passively. Finally, we conceptualize a two-dimensional phononic subsurface, whose tailored and disproportional response to the flow in the wall-normal and streamwise directions, brings about the elusive combination of local and downstream stabilization.

发表机构

• University at Buffalo (SUNY)（布法罗纽约州立大学）
• Purdue University（普渡大学）

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