Wave reflections and resonance in a Mach 0.9 turbulent jet

IF 2.2 3区工程技术 Q2 MECHANICS Theoretical and Computational Fluid Dynamics Pub Date : 2024-11-07 DOI:10.1007/s00162-024-00722-0

Robin Prinja, Eduardo Martini, Peter Jordan, Aaron Towne, André V. G. Cavalieri

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Abstract

This work aims to provide a more complete understanding of the resonance mechanisms that occur in turbulent jets at high subsonic Mach number, as shown by Towne et al. (J. Fluid Mech., vol. 825, 2017, pp. 1113-1152). Resonance was suggested by that study to exist between upstream- and downstream-travelling guided waves. Five possible resonance mechanisms were postulated, each involving different families of guided waves that reflect in the nozzle exit plane and at a number of downstream turning points. However, that study did not identify which of the five resonance mechanisms underpin the observed spectral peaks. In this work, the waves underpinning resonance are identified via a biorthogonal projection of Large Eddy Simulation data on eigenbases provided by a locally parallel linear stability analysis. Two of the five scenarios postulated by Towne et al. are thus confirmed to exist in the turbulent jet. The reflection-coefficients in the nozzle exit and turning-point planes are, furthermore, identified. Such information is required as input for simplified resonance-modelling strategies such as developed in Jordan et al. (J. Fluid Mech., vol. 853, 2018, pp. 333-358) for jet-edge resonance, and in Mancinelli et al. (Exp. Fluids, vol. 60, 2019, pp. 1-9) for supersonic screech.

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0.9 马赫湍流喷流中的波反射和共振

这项工作旨在更全面地了解 Towne 等人（《流体力学》，第 825 卷，2017 年，第 1113-1152 页）所述的亚音速高马赫数湍流射流中发生的共振机制。该研究认为上游和下游导波之间存在共振。研究假设了五种可能的共振机制，每种机制都涉及不同系列的导波，这些导波在喷嘴出口平面和若干下游转折点处发生反射。然而，该研究并未确定这五种共振机制中哪一种是观测到的光谱峰的基础。在这项工作中，通过对局部并行线性稳定性分析提供的特征基上的大涡流模拟数据进行双向投影，确定了支撑共振的波。因此，Towne 等人假设的五种情况中有两种被证实存在于湍流射流中。此外，还确定了喷嘴出口和转折点平面的反射系数。这些信息需要作为简化共振建模策略的输入，如 Jordan 等人（《流体力学》，第 853 卷，2018 年，第 333-358 页）针对喷流边缘共振和 Mancinelli 等人（《流体学报》，第 60 卷，2019 年，第 1-9 页）针对超音速尖啸所开发的策略。

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来源期刊

Theoretical and Computational Fluid Dynamics 物理-力学

CiteScore

5.80

自引率

2.90%

发文量

审稿时长

>12 weeks

期刊介绍： Theoretical and Computational Fluid Dynamics provides a forum for the cross fertilization of ideas, tools and techniques across all disciplines in which fluid flow plays a role. The focus is on aspects of fluid dynamics where theory and computation are used to provide insights and data upon which solid physical understanding is revealed. We seek research papers, invited review articles, brief communications, letters and comments addressing flow phenomena of relevance to aeronautical, geophysical, environmental, material, mechanical and life sciences. Papers of a purely algorithmic, experimental or engineering application nature, and papers without significant new physical insights, are outside the scope of this journal. For computational work, authors are responsible for ensuring that any artifacts of discretization and/or implementation are sufficiently controlled such that the numerical results unambiguously support the conclusions drawn. Where appropriate, and to the extent possible, such papers should either include or reference supporting documentation in the form of verification and validation studies.