论文标题
湍流前进涡流核心的接受度:同步实验和全局伴随线性稳定性分析
Receptivity of the turbulent precessing vortex core: synchronization experiments and global adjoint linear stability analysis
论文作者
论文摘要
进攻性涡流核心(PVC)是一种连贯的结构,可以在全球不稳定性的旋转喷射中产生。在这项工作中,在高度动荡的条件下研究了PVC。目的是在理论上和实验上表征PVC对主动流控制的接受度。基于立体粒子图像速度计和表面压力测量,实验研究通过傅立叶分解和正确的正交分解来促进。提取PVC的频率和模式形状,并通过全局线性稳定性分析(LSA)与理论预测达成很好的一致性。通过使用伴随的LSA,发现PVC在旋流喷气机上游的管道内特别接受。开环为零的净质量通量致致致动管内的不同轴向位置,以PVC的频率同步。该驱动显示具有接近管道出口的最强效应。在那里,频率同步主要是通过直接模式对模式相互作用来达到的。在更远的上游应用驱动,仅通过修改操纵漩涡数的平均流量来实现同步。这些实验观察结果与从伴随LSA得出的理论接受性质量很好。尽管同步过程非常复杂,但可以得出结论,基于平均场理论的伴随LSA充分预测了高和低接受度的区域。此外,伴随框架有望成为寻找流程控制应用理想位置的宝贵工具。
The Precessing Vortex Core (PVC) is a coherent structure that can arise in swirling jets from a global instability. In this work, the PVC is investigated under highly turbulent conditions. The goal is to characterize the receptivity of the PVC to active flow control, both theoretically and experimentally. Based on stereoscopic particle image velocimetry and surface pressure measurements, the experimental studies are facilitated by Fourier decomposition and proper orthogonal decomposition. The frequency and the mode shape of the PVC are extracted and a very good agreement with the theoretical prediction by global linear stability analysis (LSA) is found. By employing an adjoint LSA, it is found that the PVC is particularly receptive inside the duct upstream of the swirling jet. Open-loop zero net mass flux actuation is applied at different axial positions inside the duct with the goal of frequency synchronization of the PVC. The actuation is shown to have the strongest effect close to the exit of the duct. There, frequency synchronization is reached primarily through direct mode-to-mode interaction. Applying the actuation farther upstream, synchronization is only achieved by a modification of the mean flow that manipulates the swirl number. These experimental observations match qualitatively well with the theoretical receptivity derived from adjoint LSA. Although the process of synchronization is very complex, it is concluded that adjoint LSA based on mean field theory sufficiently predicts regions of high and low receptivity. Furthermore, the adjoint framework promises to be a valuable tool for finding ideal locations for flow control applications.