Tollmien-schlichting wave amplitudes on a semi-infinite flat plate and a parabolic body: comparison of a parabolized stability equation method and direct numerical simulations
Tollmien-schlichting wave amplitudes on a semi-infinite flat plate and a parabolic body: comparison of a parabolized stability equation method and direct numerical simulations
复制标题
半无限平板和抛物线体上的 Tollmien-schlichting 波振幅：抛物线稳定方程方法与直接数值模拟的比较
DOI：
10.1093/qjmam/hbr027
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Turner M
中科院分区：
文献类型：
--
作者：
Turner M
本文研究了自由流声波与气动物体前缘的相互作用，并考虑了分析这种相互作用的两种不同方法。结果进行了比较的方法，采用Orr-Sommerfeld计算的抛物化的稳定性方程的直接数值模拟。通过比较Tollmien-Schlichting波的流向振幅，发现边界层对声波的响应的非模态分量可以在下分支下游保持一定距离。还考虑了机头曲率对持续非模态本征模式的影响，较大的机头半径允许非模态本征模式持续更远的下游。
In this paper, the interaction of free-stream acoustic waves with the leading edge of an aerodynamic body is investigated and two different methods for analysing this interaction are considered. Results are compared for a method which incorporates Orr–Sommerfeld calculations using the parabolized stability equation to those of direct numerical simulations. By comparing the streamwise amplitude of the Tollmien–Schlichting wave, it is found that non-modal components of the boundary layer response to an acoustic wave can persist some distance downstream of the lower branch. The effect of nose curvature on the persisting non-modal eigenmodes is also considered, with a larger nose radius allowing the non-modal eigenmodes to persist farther downstream.