论文标题

虚张声板的模态分析

Modal analysis of bluff body wakes

论文作者

Nidhan, Sheel, Gola, Divyanshu, Sarkar, Sutanu

论文摘要

对雷诺数处的圆盘的未分层和分层的唤醒进行频谱正确的正交分解(SPOD)分析,$ u_ \ udy \ infty d/ν= 50,000 $,其中$ u_ \ infty $是自由度的速度,而$ d $ $ d $是圆形磁带的每米。在$ re = 50,000 $,三个基于直径的Froude号码,$ \ fro = u_ \ infty/nd = \ infty $,$ 2 $和$ 10 $。我们发现在未分层的配置中,两种模式:(i)涡流脱落(VS)模式($ m = 1,\ str = 0.135 $)和(ii)双螺旋(DH)模式($ m = 2,\ str \ str \ rightRow 0 $)是最主要的功能。在遥远的距离处,DH模式在近乎和中间位置为主导,VS模式占主导地位。还在近距离唤醒位置探索了TKE和Reynolds剪切应力的重建。在分层的情况下($ \ fro = 2 $和$ 10 $),涡流脱落模式($ \ str \ \ \ \ \ of 0.13-0.14 $)主导了唤醒。在中间到后期的流动位置($ x/d $),我们通过压力波通量重建确定VS模式是内部重力波(IGW)生成的原因。 $ re = 5000 $和$ re = 50,000 $之间的SPOD分解分析之间的比较也以$ \ fro = 2 $进行。初步结果表明,低$ $ $ $ $唤醒也由VS模式主导,但表现出比高$ $ $ $ WAKE的连贯性,即领先SPOD模式的贡献更高。

Spectral proper orthogonal decomposition (SPOD) analyses are performed for unstratified and stratified wakes of a circular disk at Reynolds number, $U_\infty D/ν= 50,000$, where $U_\infty$ is the freestream velocity and $D$ is the diameter of the circular disk. At $Re= 50,000$, three diameter-based Froude numbers, $\Fro = U_\infty/ND = \infty$, $2$ and $10$ are analyzed. We find that in the unstratified configuration, two modes: (i) the vortex shedding (VS) mode ($m=1, \Str = 0.135$) and (ii) the double helix (DH) mode ($m=2, \Str \rightarrow 0$) are the most dominant features. At far-downstream distances, DH mode is dominant while at near and intermediate locations, VS mode dominates the energetics. Reconstruction of TKE and Reynolds shear stresses are also explored at near and far wake locations. In the stratified cases ($\Fro = 2$ and $10$), the vortex shedding mode (at $\Str \approx 0.13-0.14$) dominates the wake. At intermediate to late streamwise locations ($x/D$), we establish through pressure wave flux reconstruction that the VS mode is responsible for the internal gravity wave (IGW) generation. A comparison between the SPOD decomposition analyses between $Re =5000$ and $Re = 50,000$ is also performed at $\Fro =2$. Preliminary results show that the low-$Re$ wake is also dominated by the VS mode but exhibits more coherence, namely higher contribution of leading SPOD modes, than the high-$Re$ wake.

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