Acoustic receptivity of high-speed boundary layers on a flat plate at angles of attack

IF 2.2 3区 工程技术 Q2 MECHANICS Theoretical and Computational Fluid Dynamics Pub Date : 2022-08-30 DOI:10.1007/s00162-022-00625-y
Alexander V. Fedorov, Natalia Palchekovskaya
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引用次数: 2

Abstract

Direct numerical simulation and theoretical analysis of acoustic receptivity are performed for the boundary layer on a flat plate in Mach 6 flow at various angles of attack (AoA). Slow or fast acoustic wave passes through: a bow shock at AoA \(=-5^{\circ }\), a weak shock induced by the viscous–inviscid interaction at AoA \(=0^{\circ }\) or an expansion fan emanating from the plate leading edge at AoA \(=5^{\circ }\). The study is focused on cases where the integral amplification of unstable mode S (or Mack second mode) is sufficiently large \((N\approx 8.4)\) to be relevant to transition in low-disturbance environments. It is shown that excitation of dominant modes F and S occurs in a small vicinity of the plate leading edge. The initial disturbance propagates further downstream in accord with the two-mode approximation model accounting for the mean-flow nonparallel effects and the intermodal exchange mechanism. This computationally economical model can be useful for predictions of the second mode dominated transition onset using the physics-based amplitude method.

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攻角下平板上高速边界层的声接受度
对6马赫数下不同迎角下平板边界层的声接受度进行了直接数值模拟和理论分析。慢速或快速声波通过:AoA \(=-5^{\circ }\)处的弓形激波,AoA \(=0^{\circ }\)处粘-非粘相互作用引起的弱激波,AoA \(=5^{\circ }\)处从板前缘发出的膨胀风扇。研究的重点是不稳定模态S(或Mack第二模态)的积分放大足够大\((N\approx 8.4)\)与低干扰环境中的过渡有关的情况。结果表明,优势模态F和S的激发发生在板块前缘附近的小范围内。初始扰动进一步向下游传播,符合考虑平均流非平行效应和多模态交换机制的双模态近似模型。这种计算经济的模型可用于使用基于物理的振幅方法预测第二模态主导的过渡开始。
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来源期刊
CiteScore
5.80
自引率
2.90%
发文量
38
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.
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